McGraw Hill Math

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 11 Test are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Chapter 11 Test Answer Key

This line plot shows the height in meters of seven young orange trees.

Question 1.
Which height is an outlier?
Answer:
The height 3\(\frac{2}{10}\) m or 3\(\frac{1}{5}\) m is an outlier.

Question 2.
How many trees have a height of 3\(\frac{7}{10}\) m?
Answer:
Two trees have a height of 3\(\frac{7}{10}\) m.

Question 3.
What is the most common height in the data set?
Answer:
The most common height in the given data set is 3\(\frac{8}{10}\) m or 3\(\frac{4}{5}\) m.

Question 4.
What is the total height of the three shortest trees?
Answer:
The height of first shortest tree is 3\(\frac{2}{10}\) m.
The height of second and third shortest tree is 3\(\frac{7}{10}\) m.
= 3\(\frac{2}{10}\) m + 3\(\frac{7}{10}\) m +  3\(\frac{7}{10}\) m
= \(\frac{32}{10}\) m + \(\frac{37}{10}\) m + \(\frac{37}{10}\) m
= \(\frac{106}{10}\) m
=10 \(\frac{6}{10}\) m or 10 \(\frac{3}{5}\) m
The total height of the three shortest trees is 10\(\frac{6}{10}\) m or 10\(\frac{3}{5}\) m.

Question 5.
What is the difference between the tallest tree and the shortest tree shown on the line plot?
Answer:
The tallest tree on the line plot is 3\(\frac{9}{10}\) m.
The shortest tree on the line plot is 3\(\frac{2}{10}\) m.
= 3\(\frac{9}{10}\) m – 3\(\frac{2}{10}\) m
= \(\frac{39}{10}\) m – \(\frac{32}{10}\) m
= \(\frac{7}{10}\) m
The difference between the tallest tree and the shortest tree is \(\frac{7}{10}\) m.

Question 6.
To find the average height, you would find the sum of all the heights shown and then divide by the number of trees. What is the average height shown on the line plot?
Answer:
The height of seven young orange trees is as below,
= 3\(\frac{2}{10}\) m + 2(3\(\frac{7}{10}\))m + 3(3\(\frac{8}{10}\)) m + 3\(\frac{9}{10}\))m
= \(\frac{32}{10}\) m + 2 (\(\frac{37}{10}\)) m + 3(\(\frac{38}{10}\)) m + \(\frac{39}{10}\) m
= \(\frac{32}{10}\) m + \(\frac{74}{10}\) m +\(\frac{114}{10}\) m + \(\frac{39}{10}\) m
= \(\frac{259}{10}\) m
The sum of all the heights of seven young orange trees is \(\frac{259}{10}\) m.
The total number of trees are seven.
The average height shown on the line plot = Sum of all the heights of seven young oranges trees/ Total number of trees
= \(\frac{259}{10}\) m/ 7
= 3.7 m
= 3\(\frac{7}{10}\) m
The average height shown on the line plot is 3\(\frac{7}{10}\) m.

Plot and label each point on the coordinate grid.

Question 7.
A (2, 3)
Answer:

The point A (2, 3) is plotted and labeled on the grid.

Question 8.
B (6, 4)
Answer:

The point B (6, 4) is plotted and labeled on the grid.

Question 9.
C (4, 8)
Answer:

The point C (4, 8) is plotted and labeled on the grid.

Question 10.
D (7, 13)
Answer:

The point D (7, 13) is plotted and labeled on the grid.

Question 11.
E (10, 10)
Answer:

The point E (10, 10) is plotted and labeled on the grid.

Plot each point. Draw lines between the points. Identify the shape.

Question 12.
A (8, 11)
B (2, 2)
C (14, 2)
Identify the shape.
Answer:

Explanation:
After plotting and joining the given set of points we can see that a triangle having three equal sides. So, this is a equilateral triangle.

Plot each point. Draw lines between the points. Identify the shape.

Question 13.
A (2, 4)
B (2, 10)
C (8, 10)
D (8, 4)
Identify the shape.
Answer:

Explanation:
After plotting and joining the given set of points we can see that a quadrilateral having four equal sides. So, this is a Square.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.1 Place Value and Rounding to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 7.1 Place Value and Rounding

Exercises

ROUND

Round to the nearest whole number.

Question 1.
48.6
Answer:
49
Explanation:
If the digit in tenth place is greater than 5 add 1 to the nearest whole number.
So, 48.6 is rounded to nearest whole number 49.

Question 2.
98.3
Answer:
98
Explanation:
If the digit in tenth place is less than 5 round down and keep the nearest whole number.
So, 98.3 is rounded to nearest whole number 98.

Question 3.
156.67
Answer:
157
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest whole number.
So, 156.67 is rounded to nearest whole number 157.

Question 4.
3026.92
Answer:
3027
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest whole number.
So, 3026.92 is rounded to nearest whole number 3027.

Question 5.
189.41233
Answer:
189
Explanation:
If the digit in tenth place is less than 5 round down and keep the nearest whole number.
So, 189.41233 is rounded to nearest whole number 189.

Question 6.
2244.66795
Answer:
2245
Explanation:
If the digit in tenth place is greater than 5 add 1 to the nearest whole number.
So, 2244.66795 is rounded to nearest whole number 2245.

Question 7.
279.99556
Answer:
280
Explanation:
If the digit in tenth place is greater than 5 add 1 to the nearest whole number.
So, 279.99556 is rounded to nearest whole number 279.99556.

Question 8.
428.5
Answer:
429
Explanation:
If the digit in tenth place is greater than 5 add 1 to the nearest whole number.
So, 428.5 is rounded to nearest whole number 4285.

Round to the nearest tenth.

Question 9.
124.5755
Answer:
124.6
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest tenth place.
So, 124.5755 is rounded to nearest tenth place 124.6

Question 10.
175.5133
Answer:
175.5
Explanation:
If the digit in hundredth place is less then 5 round down to the tenth place.
So, 175.5133 is rounded to nearest tenth place 175.5

Question 11.
349.49888
Answer:
349.5
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest tenth place.
So, 349.49888 is rounded to nearest tenth place 349.5

Question 12.
313.35664
Answer:
313.4
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest tenth place.
So, 313.35664 is rounded to nearest tenth place 313.4

Question 13.
375.77454
Answer:
375.8
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest tenth place.
So, 375.77454 is rounded to nearest tenth place 375.8

Question 14.
44.00913
Answer:
44.0
Explanation:
If the digit in hundredth place is less than 5 round down to the nearest tenth place.
So, 44.009133 is rounded to nearest tenth place 44.0

Question 15.
566.9943
Answer:
567.0
Explanation:
If the digit in hundredth place is greater than 5 add 1 to the nearest tenth place.
So, 566.9943 is rounded to nearest tenth place 567.0

Question 16.
61.15
Answer:
61.2
Explanation:
If the digit in hundredth place is greater than 5 round down to the nearest tenth place.
So, 61.15 is rounded to nearest tenth place 61.2

Round to the nearest hundredth.

Question 17.
1536.3357
Answer:
1536.34
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 1536.3357 is rounded to nearest hundredth place 1536.34

Question 18.
32.4589
Answer:
32.46
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 32.4589 is rounded to nearest hundredth place 32.46

Question 19.
118.9977
Answer:
119.00
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 118.9977 is rounded to nearest hundredth place 119.00

Question 20.
523.75776
Answer:
523.76
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 523.75776 is rounded to nearest hundredth place 523.76

Question 21.
1099.989877
Answer:
1099.99
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 1099.989877 is rounded to nearest hundredth place 1099.99

Question 22.
1.11881
Answer:
1.12
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 1.11881 is rounded to nearest hundredth place 1.12

Question 23.
33.43718
Answer:
33.44
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 33.43718 is rounded to nearest hundredth place 33.44

Question 24.
555.555
Answer:
555.56
Explanation:
If the digit in thousandth place is greater than 5 add 1 to the nearest hundredth place.
So, 555.555 is rounded to nearest hundredth place 555.56

Round to the nearest thousandth.

Question 25.
729.239788
Answer:
729.240
Explanation:
If the digit in ten thousandth place is greater than 5 add 1 to the nearest thousandth place.
So, 729.239788 is rounded to nearest thousandth place 729.240

Question 26.
409.13391
Answer:
409.134
Explanation:
If the digit in ten thousandth place is less than 5 round down to the nearest thousandth place.
So, 409.133391 is rounded to nearest thousandth place 409.134

Question 27.
8056.708035
Answer:
8056.709
Explanation:
If the digit in ten thousandth place is greater than 5 add 1 to the nearest thousandth place.
So, 8056.708035 is rounded to nearest thousandth place 8056.709

Question 28.
549.594959
Answer:
549.595
Explanation:
If the digit in ten thousandth place is greater than 5 add 1 to the nearest thousandth place.
So, 549.594959 is rounded to nearest thousandth place 549.595

Question 29.
99.80007
Answer:
99.800
Explanation:
If the digit in ten thousandth place is less than 5 round down to the nearest thousandth place.
So, 99.80007 is rounded to nearest thousandth place 99.800

Question 30.
177.555901
Answer:
177.556
Explanation:
If the digit in ten thousandth place is greater than 5 add 1 to the nearest thousandth place.
So, 177.555901 is rounded to nearest thousandth place 177.556

Question 31.
2012.20507
Answer:
2012.205
Explanation:
If the digit in ten thousandth place is less than 5 round down to the nearest thousandth place.
So, 2012.20507 is rounded to nearest thousandth place 2012.205

Question 32.
901.901445
Answer:
901.901
Explanation:
If the digit in ten thousandth place is less than 5 round down to the nearest thousandth place.
So, 901.901445 is rounded to nearest thousandth place 901.901

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.2 Changing Fractions to Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 7.2 Changing Fractions to Decimals

Exercises

CONVERT TO DECIMAL.

Round to the nearest thousandth.

Question 1.
1\(\frac{5}{16}\)
Answer:
1.313
Explanation:
1\(\frac{5}{16}\)

= \(\frac{(16×1)+5}{16}\)

= \(\frac{21}{16}\) = 1.313

Question 2.
2\(\frac{4}{7}\)
Answer:
2.571
Explanation:
2\(\frac{4}{7}\)

= \(\frac{(7×2)+4}{7}\)

= \(\frac{14+4}{7}\)

= \(\frac{18}{7}\) = 2.571

Question 3.
\(\frac{48}{200}\)
Answer:
0.240
Explanation:
\(\frac{48}{200}\)
By dividing numerator with denominator we get 0.240

Question 4.
3\(\frac{375}{500}\)
Answer:
3.750
Explanation:
3\(\frac{375}{500}\)

= \(\frac{(3×500)+375}{500}\)

= \(\frac{1500+375}{500}\)
= \(\frac{1875}{500}\) = 3.750

Question 5.
\(\frac{6}{202}\)
Answer:
0.030
Explanation:
\(\frac{6}{202}\)
By dividing numerator with denominator we get 0.030

Question 6.
7\(\frac{13}{33}\)
Answer:
7.394
Explanation:
7\(\frac{13}{33}\)

= \(\frac{(7×33)+13}{33}\)

= \(\frac{231+4}{33}\)

= \(\frac{235}{33}\) = 7.394

Question 7.
\(\frac{52}{156}\)
Answer:
0.333
Explanation:
\(\frac{52}{156}\)
By dividing numerator with denominator we get 0.333

Question 8.
4\(\frac{11}{15}\)
Answer:
4.733
Explanation:
4\(\frac{11}{15}\)

= \(\frac{(4×15)+11}{15}\)

= \(\frac{60+11}{15}\)

= \(\frac{71}{15}\) = 4.733

Question 9.
1\(\frac{1}{2001}\)
Answer:
1.000
Explanation:
1\(\frac{1}{2001}\)

= \(\frac{(1×2001)+1}{2001}\)

= \(\frac{2001+1}{2001}\)

= \(\frac{2002}{2001}\) = 1.000

Question 10.
2\(\frac{33}{78}\)
Answer:
2.423
Explanation:
2\(\frac{33}{78}\)

= \(\frac{(2×78)+33}{78}\)

= \(\frac{156+33}{78}\)

= \(\frac{189}{78}\) = 2.423

Question 11.
2\(\frac{15}{32}\)
Answer:
2.469
Explanation:
2\(\frac{15}{32}\)

= \(\frac{(2×32)+15}{32}\)

= \(\frac{64+15}{32}\)

= \(\frac{79}{32}\) = 2.469

Question 12.
2\(\frac{45}{76}\)
Answer:
2.592
Explanation:
2\(\frac{45}{76}\)

= \(\frac{(76×2)+45}{76}\)

= \(\frac{152+45}{76}\)

= \(\frac{197}{76}\) = 2.592

Question 13.
4\(\frac{13}{45}\)
Answer:
4.289
Explanation:
4\(\frac{13}{45}\)

= \(\frac{4×45)+13}{45}\)

= \(\frac{180+13}{45}\)

= \(\frac{193}{45}\) = 4.289

Question 14.
\(\frac{17}{18}\)
Answer:
0.944
Explanation:
\(\frac{17}{18}\)
By dividing the numerator with denominator we get 0.944

Question 15.
5\(\frac{7}{16}\)
Answer:
5.438
Explanation:
5\(\frac{7}{16}\)

= \(\frac{(5×16)+7}{16}\)

= \(\frac{80+7}{16}\)

= \(\frac{87}{16}\) = 5.438

Question 16.
4\(\frac{13}{19}\)
Answer:
4.684
Explanation:
4\(\frac{13}{19}\)

= \(\frac{(4×19)+13}{19}\)

= \(\frac{76+13}{19}\)

= \(\frac{89}{19}\) = 4.684

Question 17.
2\(\frac{7}{10000}\)
Answer:
2.001
Explanation:
2\(\frac{7}{10000}\)

= \(\frac{(2×10000)+7}{10000}\)

= \(\frac{20000+7}{10000}\)

= \(\frac{20007}{10000}\) = 2.001

Question 18.
\(\frac{7}{250}\)
Answer:
0.28
Explanation:
\(\frac{7}{250}\)
By dividing numerator with numerator wee get 0.28

Question 19.
1\(\frac{97}{103}\)
Answer:
1.942
Explanation:
1\(\frac{97}{103}\)

= \(\frac{(1×103)+97}{103}\)

= \(\frac{103+97}{103}\)

= \(\frac{200}{103}\) = 1.942

Question 20.
3\(\frac{7}{11}\)
Answer:
3.636
Explanation:
3\(\frac{7}{11}\)

= \(\frac{(3×11)+7}{11}\)

= \(\frac{33+7}{11}\)

= \(\frac{40}{11}\) = 3.636

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.3 Changing Decimals to Fractions to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 7.3 Changing Decimals to Fractions

Exercises

CONVERT TO FRACTION

Question 1.
1.3 ____________
Answer:
\(\frac{13}{10}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.3 = \(\frac{13}{10}\)

Question 2.
.60 ___________
Answer:
\(\frac{3}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.60 = \(\frac{60}{100}\)
simplify \(\frac{3}{5}\)

Question 3.
.588 ___________
Answer:
\(\frac{147}{250}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.588 = \(\frac{588}{1000}\)
simplify \(\frac{294}{500}\)
= \(\frac{147}{250}\)

Question 4.
3.875 ___________
Answer:
\(\frac{31}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.875 = \(\frac{3875}{1000}\)
simplify \(\frac{775}{200}\)
= \(\frac{155}{40}\)
= \(\frac{31}{8}\)

Question 5.
6.75 _____________
Answer:
\(\frac{27}{4}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
6.75 = \(\frac{675}{100}\)
simplify \(\frac{135}{20}\)
\(\frac{27}{4}\)

Question 6.
1.125 ______________
Answer:
\(\frac{9}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.125 = \(\frac{1125}{1000}\)
simplify \(\frac{225}{200}\)
= \(\frac{45}{40}\)
= \(\frac{9}{8}\)

Question 7.
3.26 ______________
Answer:
\(\frac{163}{50}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.26 = \(\frac{326}{100}\)
simplify \(\frac{163}{50}\)

Question 8.
.625 ______________
Answer:
\(\frac{5}{8}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.625 = \(\frac{625}{1000}\)
simplify \(\frac{125}{200}\)
= \(\frac{25}{40}\)
= \(\frac{5}{8}\)

Question 9.
4.2 ___________
Answer:
\(\frac{21}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
4.2 = \(\frac{42}{100}\)
simplify \(\frac{21}{5}\)

Question 10.
12.101 _____________
Answer:
\(\frac{12101}{1000}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
12.101 = \(\frac{12101}{1000}\)

Question 11.
2.009 ____________
Answer:
\(\frac{2009}{1000}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
2.009 = \(\frac{2009}{1000}\)

Question 12.
.3125 _____________
Answer:
\(\frac{5}{16}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.3125 = \(\frac{3125}{10000}\)
simplify \(\frac{625}{2000}\)
= \(\frac{125}{400}\)
= \(\frac{25}{80}\)
= \(\frac{5}{16}\)

Question 13.
1.046875 ____________
Answer:
\(\frac{67}{64}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
1.046875 = \(\frac{1046875}{1000000}\)
simplify \(\frac{209375}{200000}\)
= \(\frac{41875}{40000}\)
= \(\frac{8375}{8000}\)
= \(\frac{1675}{1600}\)
= \(\frac{335}{320}\)
= \(\frac{67}{64}\)

Question 14.
2.64 _____________
Answer:
\(\frac{66}{25}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
2.64 = \(\frac{264}{100}\)
simplify \(\frac{132}{50}\)
= \(\frac{66}{25}\)

Question 15.
5.55 ______________
Answer:
\(\frac{111}{20}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
5.55 = \(\frac{555}{100}\)
simplify \(\frac{111}{20}\)

Question 16.
22.222 ______________
Answer:
\(\frac{11111}{500}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
22.222 = \(\frac{22222}{1000}\)
simplify \(\frac{11111}{500}\)

Question 17.
5.8 _____________
Answer:
\(\frac{29}{5}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
5.8 = \(\frac{58}{10}\)
simplify \(\frac{29}{5}\)

Question 18.
33.99 _____________
Answer:
\(\frac{3399}{100}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
33.99 = \(\frac{3399}{100}\)

Question 19.
3.5 ______________
Answer:
\(\frac{7}{2}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
3.5 = \(\frac{35}{10}\)
simplify \(\frac{7}{2}\)

Question 20.
8.18 ______________
Answer:
\(\frac{409}{50}\)
Explanation:
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
8.18 = \(\frac{818}{100}\)
simplify \(\frac{409}{50}\)

Question 21.
Chad had .625 gallons of gas left in his lawnmower at the end of summer. Restate the amount as a fraction.
Answer:
\(\frac{5}{8}\)
Explanation:
Chad had .625 gallons of gas left in his lawnmower at the end of summer.
First use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.625 = \(\frac{625}{1000}\)
simplify \(\frac{125}{200}\)
= \(\frac{25}{40}\)
= \(\frac{5}{8}\)

Question 22.
‘Wanda toured the milk processing plant with her class. The guide said there were over .75 miles of conveyor belts in the plant. Restate that number as a fraction.
Answer:
\(\frac{3}{4}\)
Explanation:
The guide said there were over .75 miles of conveyor belts in the plant.
Use the place value farthest to the right as denominator,
the decimal number becomes the numerator.
0.75 = \(\frac{75}{100}\)
simplify \(\frac{15}{20}\)
\(\frac{3}{4}\)

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 7.4 Comparing and Ordering Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 7.4 Comparing and Ordering Decimals

Exercises

COMPARE

Order from least to greatest.

Question 1.
1.3, 1.031, 1.322, 13.1, .1332, 1.5, 1.55, 1.505
Answer:
0.1332, 1.031, 1.3, 1.322, 1.5, 1.505,1.55, 13.1
Explanation:
First arrange the decimals  one beneath the other in their original order,
1.3
1.031
1.322
13.1
0.1332
1.5
1.55
1.505
Next examine each decimal writing one or more zeros to the right of the last digit.
1.3000
1.0310
1.3220
13.100
0.1332
1.5000
1.5500
1.5050
So, that all decimals will have the same number of digits.
Then order the decimals from least to the greatest.
0.1332, 1.031, 1.3, 1.322, 1.5, 1.505,1.55, 13.1

Question 2.
.751, .75, 7.51, .705, .075, .34, 1.675, 1.68
Answer:
0.075, 0.34, 0.705, 0.75, 0.751, 1.675, 1.68, 7.51
Explanation:
First arrange the decimals  one beneath the other in their original order,
0.751
0.75
7.51
0.705
0.075
0.34
1.675
1.68
Next examine each decimal writing one or more zeros to the right of the last digit.
0.751
0.750
7.510
0.705
0.075
0.340
1.675
1.680
So, that all decimals will have the same number of digits.
Then order the decimals from least to the greatest.
0.075, 0.34, 0.705, 0.75, 0.751, 1.675, 1.68, 7.51

Question 3.
.17, 1.7, .017, .00175, .01695, .107, 1.07
Answer:
0.00175, 0.01695, 0.017, 0.107, 0.17, 1.07, 1.7
Explanation:
First arrange the decimals  one beneath the other in their original order,
0.17000
1.70000
0.01700
0.00175
0.01695
0.10700
1.07000
Next examine each decimal writing one or more zeros to the right of the last digit.
So, that all decimals will have the same number of digits.
Then order the decimals from least to the greatest.
0.00175, 0.01695, 0.017, 0.107, 0.17, 1.07, 1.7

Question 4.
.625, .405,-.420, .415, .451, 1.4
Answer:
0.405, 0.415, 0.420, 0.45, 0.451, 0.625, 1.4
Explanation:
First arrange the decimals  one beneath the other in their original order,
0.625
0.405
-.420
0.415
0.451
1.4
Next examine each decimal writing one or more zeros to the right of the last digit.
0.625
0.405
-.420
0.415
0.451
1.400
So, that all decimals will have the same number of digits.
Then order the decimals from least to the greatest.
0.405, 0.415, 0.420, 0.45, 0.451, 0.625, 1.4

Order from greatest to least.

Question 5.
.25, .333, .15, .155, .125, .33
Answer:
0.333, 0.33, 0.25, 0.155, 0.15, 0.125
Explanation:
When comparing numbers with decimals, always look at the whole numbers first;
if two whole numbers are same, then compare the numbers to the right of the decimal point.
As with the whole numbers, each digit is one place value higher than the digit to its immediate right.
Then arrange the numbers from greatest to least.
0.333, 0.33, 0.25, 0.155, 0.15, 0.125

Question 6.
.332, .3334, .334, .3, .3033, .0335, 1.0001
Answer:
1.001, 0.334, 0.3334, 0.332, 0.3033, 0.3, 0.0335
Explanation:
When comparing numbers with decimals, always look at the whole numbers first;
if two whole numbers are same, then compare the numbers to the right of the decimal point.
As with the whole numbers, each digit is one place value higher than the digit to its immediate right.
Then arrange the numbers from greatest to least.
1.001, 0.334, 0.3334, 0.332, 0.3033, 0.3, 0.0335

Question 7.
.6667, .7501, .6, .75, .751, .707, .667
Answer:
0.751, 0.7501, 0.75, 0.707, 0.667, 0.6667, 0.6
Explanation:
When comparing numbers with decimals, always look at the whole numbers first;
if two whole numbers are same, then compare the numbers to the right of the decimal point.
As with the whole numbers, each digit is one place value higher than the digit to its immediate right.
Then arrange the numbers from greatest to least.
0.751, 0.7501, 0.75, 0.707, 0.667, 0.6667, 0.6

Question 8.
.68, .55, .6, .63, .6665, .06665, .59996
Answer:
0.68, 0.6665, 0.63, 0.6, 0.59996, 0.55, 0.6665
Explanation:
When comparing numbers with decimals, always look at the whole numbers first;
if two whole numbers are same, then compare the numbers to the right of the decimal point.
As with the whole numbers, each digit is one place value higher than the digit to its immediate right.
Then arrange the numbers from greatest to least.
0.68, 0.6665, 0.63, 0.6, 0.59996, 0.55, 0.6665

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 8.1 Adding Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 8.1 Adding Decimals

Exercises

ADD

Question 1.

Answer:
167.9817
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 2.

Answer:
838.131
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 3.

Answer:
139.011543
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 4.

Answer:
20.2349
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 5.

Answer:
76.156
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 6.

Answer:
24.31
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 7.

Answer:
16.948
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 8.

Answer:
46.4309
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 9.

Answer:
10.3341
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 10.

Answer:
37.618
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 11.

Answer:
13.3031
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 12.

Answer:
19.7103
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 13.

Answer:
343.729
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 14.

Answer:
65.1937
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 15.

Answer:
12.16342
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 16.

Answer:
3.9451
Explanation:
First line up all the addends according to their place value,
then ignore the decimals and add all the whole numbers to get the sum.
Finally count the number of decimals and put in the sum.

Question 17.
Troy plays for the football team as a punter. Last week Troy made three punts of 11.324 meters, 12.6742 meters, and 10.227 meters. What was the total length of these three punts?
Answer:
34.2252 meters
Explanation:
Troy made three punts of 11.324 meters, 12.6742 meters, and 10.227 meters.
The total length of these three punts 11.324 + 12.6742 + 10.227 = 34.2252

Question 18.
Kate measured the amount of rain that fell during the last three rainstorms. She measured .903 inches of rainfall for the first storm, 1.6778 inches for the second storm, and 1.2655 inches for the third storm. What was the total rainfall for the three storms?
Answer:
3.8463
Explanation:
Kate measured .903 inches of rainfall for the first storm,
1.6778 inches for the second storm and
1.2655 inches for the third storm.
The total rainfall for the three storms 0.903 + 1.6778 + 1.2655 = 3.8463

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 8.2 Subtracting Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 8.2 Subtracting Decimals

Exercises

SUBTRACT

Question 1.

Answer:
11.9375
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 2.

Answer:
12.4382
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 3.

Answer:
100.3899
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 4.

Answer:
4.7797
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 5.

Answer:
5.5563
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 6.

Answer:
13.7372
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 7.

Answer:
462.6875
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 8.

Answer:
2.16069
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 9.

Answer:
0.6683
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 10.

Answer:
8.94666
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 11.

Answer:
6.0655
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 12.

Answer:
0.7491
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 13.

Answer:
124.157
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 14.

Answer:
2.7392
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 15.

Answer:
1.971
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 16.

Answer:
254.931
Explanation:
First line up all the decimals according to their place values,
then insert zeros in placeholders if needed to calculate.

Question 17.
The winner of the pole vault recorded a best vault of 5.8833 meters. The second-place winner recorded a best vault of 5.4993 meters. What was the difference between the winning vault and the second-place vault?
Answer:
0.384 meters
Explanation:
The winner of the pole vault recorded a best vault of 5.8833 meters.
The second-place winner recorded a best vault of 5.4993 meters.
The difference between the winning vault and the second-place vault
5.8833 – 5.4993 = 0.384

Question 18.
Annie measured the depth of the water in the school’s fountain and found there were 9.774 inches of water. Annie measured the depth of the water again the next day and noted that the water level was 1.7456 inches lower. What was the new depth of the water?
Answer:
8.0248 inches
Explanation:
Annie measured the depth of the water in the school’s fountain and found there were 9.774 inches of water.
Annie measured the depth of the water again the next day and noted that the water level was 1.7456 inches lower.
The new depth of the water in school’s fountain 9.774 – 1.7456 = 8.0248

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 9.1 Multiplying with Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 9.1 Multiplying with Decimals

Exercises

MULTIPLY

Question 1.

Answer:
478.17
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 2.

Answer:
17.45458
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 3.

Answer:
62.625
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 4.

Answer:
11.9391
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 5.

Answer:
598.29
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 6.

Answer:
36.3
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 7.

Answer:
145.6
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 8.

Answer:
348.315
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 9.

Answer:
15107.4
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 10.

Answer:
844.8
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 11.

Answer:
33.75
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 12.

Answer:
12.88
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 13.

Answer:
410.76
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 14.

Answer:
5626.7379
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 15.

Answer:
356.8992
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

Question 16.

Answer:
129.63104
Explanation:
while multiplying decimals ignore the decimals in the factors and multiply,
then count total number of decimal places in the factors.
Starting from the right of the product count the number of places,
then put the decimal point to the left of the last place.

129.63104

Question 17.
Pauline’s mom drives the soccer team to and from each of their away games. If the team has 12 away games, and on average Pauline’s mom uses 2.775 gallons of gas to make the round trip, how much gas will she use for the whole season?
Answer:
33.3 gallons
Explanation:
If the team has 12 away games, and on average Pauline’s mom uses 2.775 gallons of gas to make the round trip,
Total gas will she use for the whole season 2.775 x 12 = 33.3 gallons

Question 18.
The delivery truck driver has 64 packages to deliver to the school. The average weight of a package is 13.7552 pounds. If the delivery truck has a load capacity of 900 pounds, can the delivery driver deliver all 64 packages in one load?
Answer:
Yes, the driver can deliver 880.3328 pounds
Explanation:
The delivery truck driver has 64 packages to deliver to the school.
The average weight of a package is 13.7552 pounds.
If the delivery truck has a load capacity of 900 pounds,
Total weight of the package is 13.7552 x 64 = 880.3328 pounds

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 9.2 Dividing with Decimals to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 9.2 Dividing with Decimals

Exercises

DIVIDE

Question 1.

Answer:
74.279
Explanation:
Multiply both the numbers by 100
4.51 x 100 = 451
335 x 100 = 33500
line up a decimal point in the quotient with the decimal point in the divisor.

Question 2.

Answer:
58.592
Explanation:
Multiply both the numbers by 10
7.1 x 10 = 71
416 x 10 = 4160
line up a decimal point in the quotient with the decimal point in the divisor.

Question 3.

Answer:
27.756
Explanation:
Multiply both the numbers by 100
7.71 x 100 = 771
214 x 100 = 21400
line up a decimal point in the quotient with the decimal point in the divisor.

Question 4.

Answer:
19.545
Explanation:
Multiply both the numbers by 10
8.8 x 10 = 88
172 x 10 = 1720
line up a decimal point in the quotient with the decimal point in the divisor.

Question 5.

Answer:
64.595
Explanation:
Multiply both the numbers by 10
3.7 x 10 = 37
239 x 10 = 2390
line up a decimal point in the quotient with the decimal point in the divisor.

Question 6.

Answer:
7.332
Explanation:
Multiply both the numbers by 100
6.11 x 100 = 611
44.8 x 100 = 4480
line up a decimal point in the quotient with the decimal point in the divisor.

Question 7.

Answer:
9.483
Explanation:
Multiply both the numbers by 10
5.8 x 10 = 58
55 x 10 = 550
line up a decimal point in the quotient with the decimal point in the divisor.

Question 8.

Answer:
32.564
Explanation:
Multiply both the numbers by 10
7.8 x 10 = 78
254 x 10 = 2540
line up a decimal point in the quotient with the decimal point in the divisor.

Question 9.

Answer:
68.704
Explanation:
Multiply both the numbers by 100
4.09 x 100 = 409
281 x 100 = 28100
line up a decimal point in the quotient with the decimal point in the divisor.

Question 10.

Answer:
44.318
Explanation:
Multiply both the numbers by 100
3.52 x 100 = 352
156 x 100 = 15600
line up a decimal point in the quotient with the decimal point in the divisor.

Question 11.

Answer:
8.446
Explanation:
Multiply both the numbers by 1000
12.1 x 1000 = 12100
102.201 x 1000 = 102201
line up a decimal point in the quotient with the decimal point in the dividend.

Question 12.

Answer:
3.830
Explanation:
The decimal point in the quotient aligns with the decimal point in the dividend.

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 11 Lesson 7 Plotting Patterns on Coordinate Grids are as per the latest syllabus guidelines.

McGraw-Hill Math Grade 5 Answer Key Chapter 11 Lesson 7 Plotting Patterns on Coordinate Grids

Calculate and Plot

Complete the patterns in each set of tables. Then plot each set of patterns in the coordinate grid.

Question 1.

Question 2.

Answer:

Explanation:
The pattern in First table is 7, 6, 5, 4, 3.
The pattern in Second table is 8, 7, 6, 5, 4.
First and second set of patterns are plotted in the coordinate grid as we can observe in the above image.

Question 3.

Answer:

Explanation:
The pattern in First table is 2, 4, 6, 8, 10.
The pattern in Second table is 3, 4, 5, 6, 7.
First and second set of patterns are plotted in the coordinate grid as we can observe in the above image.