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McGraw Hill Math Grade 8 Lesson 10.5 Answer Key Rational Numbers

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.5 Rational Numbers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.5 Rational Numbers

Exercises

CALCULATE

Circle each group the number belongs to (there can be more than one).

Question 1.
-16
whole
integer
rational
Answer:
integer, rational
Explanation:
Any number expressed in fraction are called rational numbers.
An integer is a whole number with a positive or negative numbers.
So, -16 is an integer and rational number.

Question 2.
0.006
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, 0.006 is a rational number.

Question 3.
7
whole
integer
rational
Answer:
whole, integer, rational
Explanation:
Whole numbers are a set of numbers including all natural numbers and 0.
They are a part of real numbers that do not include fractions, decimals, or negative.
Any number expressed in fraction are called rational numbers.
An integer is a whole number with a positive or negative numbers.
So, 7 is an integer, whole and rational number.

Question 4.
-1.953
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, -1.953 is a rational number.

Question 5.
–\(\frac{8}{17}\)
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, –\(\frac{8}{17}\) is a rational number.

Question 6.
3\(\frac{4}{5}\)
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, –\(\frac{8}{17}\) is a rational number.

Question 7.
-1\(\frac{3}{4}\)
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, -1\(\frac{3}{4}\) is a rational number.

Question 8.
\(\frac{78}{79}\)
whole
integer
rational
Answer:
rational
Explanation:
Any number expressed in fraction are called rational numbers.
So, \(\frac{78}{79}\) is a rational number.

Change each number to a fraction.

Question 9.
-23
Answer:
\(\frac{-23}{1}\)
Explanation:
The given number -23 is an integer.
So, just put that integer as the numerator of a fraction with a denominator of 1.
-23 = \(\frac{-23}{1}\)

Question 10.
0.156
Answer:
\(\frac{156}{1000}\)
Explanation:
To convert a decimal to a fraction, place the decimal number over its place value.
0.156, the six is in the thousandths place, to create the equivalent fraction.
so, 0.156 = \(\frac{156}{1000}\)

Question 11.
19
Answer:
\(\frac{19}{1}\)
Explanation:
Given number 19 is whole number,
to convert the whole number place the given number in numerator and 1 in the denominator.
So, 19 = \(\frac{19}{1}\)

Question 12.
8\(\frac{2}{3}\)
Answer:
\(\frac{26}{3}\)
Explanation:
To convert mixed fraction into improper fraction,
Multiply the whole number by the denominator.
Add that number to the numerator.
Write that sum on top of the original denominator.
8\(\frac{2}{3}\) = \(\frac{26}{3}\)

Question 13.
-8
Answer:
\(\frac{-8}{1}\)
Explanation:
The given number -8 is an integer.
So, just put that integer as the numerator of a fraction with a denominator of 1.
-8 = \(\frac{-8}{1}\)

Question 14.
2\(\frac{7}{9}\)
Answer:
\(\frac{25}{9}\)
Explanation:
To convert mixed fraction into improper fraction,
Multiply the whole number by the denominator.
Add that number to the numerator.
Write that sum on top of the original denominator.
2\(\frac{7}{9}\) = \(\frac{25}{9}\)

Question 15.
1.945
Answer:
\(\frac{1945}{1000}\)
Explanation:
To convert a decimal to a fraction, place the decimal number over its place value.
Count the numbers after decimal and place the tenths place, hundredths, thousandths and so on to create the equivalent fraction.
so, 1.945 = \(\frac{1945}{1000}\)

Question 16.
78
Answer:
\(\frac{78}{1}\)
Explanation:
Given number 78 is whole number,
to convert the whole number place the given number in numerator and 1 in the denominator.
So, 78 = \(\frac{78}{1}\)

Question 17.
13\(\frac{1}{2}\)
Answer:
\(\frac{27}{2}\)
Explanation:
To convert mixed fraction into improper fraction,
Multiply the whole number by the denominator.
Add that number to the numerator.
Write that sum on top of the original denominator.
13\(\frac{1}{2}\) = \(\frac{27}{2}\)

Question 18.
76.38
Answer:
\(\frac{7638}{100}\)
Explanation:
To convert a decimal to a fraction, place the decimal number over its place value.
Count the numbers after decimal and place the tenths, hundredths, thousands and son on to create the equivalent fraction.
so, 76.38 = \(\frac{7638}{100}\)

Question 19.
-302
Answer:
\(\frac{-302}{1}\)
Explanation:
The given number -8 is an integer.
So, just put that integer as the numerator of a fraction with a denominator of 1.
-302 = \(\frac{-302}{1}\)

Question 20.
\({9 . \overline{3}}\)
Answer:
\(\frac{28}{3}\)
Explanation:
Let x = 9.333333……   Equation (1)
multiplying Equation (1) by 10 on both sides
10 x = 93.333333….. Equation (2)
subtracting (1) from (2)
10x = 93.3333333……
– x = 9. 33333……
= 9x =93 – 9
9x = 84
x = 84/9
x = 28/3

McGraw Hill Math Grade 8 Lesson 10.4 Answer Key Squares and Square Roots

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.4 Squares and Square Roots to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.4 Squares and Square Roots

Exercises

CALCULATE

Identify the square root.

Question 1.
\(\sqrt{49}\)
Answer:
7
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{49}\) = 7 x 7 = 49
S0, 7= 49

Question 2.
\(\sqrt{121}\)
Answer:
11
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{121}\) = 11 x 11 = 121
S0, 11= 121

Question 3.
\(\sqrt{225}\)
Answer:
15
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{225}\) = 15 x 15 = 225
S0, 15= 225

Question 4.
\(\sqrt{81}\)
Answer:
9
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{81}\) = 9 x 9 = 81
S0, 9= 81

Question 5.
\(\sqrt{144}\)
Answer:
12
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{49}\) = 12 x 12 = 144
S0, 12= 144

Question 6.
\(\sqrt{4}\)
Answer:
2
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{4}\) = 2 x 2 = 4
S0, 2= 4

Question 7.
\(\sqrt{1}\)
Answer:
1
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{1}\) = 1 x 1 = 1
S0, 1= 1

Question 8.
\(\sqrt{169}\)
Answer:
13
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{169}\) = 13 x 13 = 169
S0, 13= 169

Question 9.
\(\sqrt{16}\)
Answer:
4
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{16}\) = 4 x 4 = 16
S0, 4= 16

Question 10.
\(\sqrt{36}\)
Answer:
6
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{36}\) = 6 x 6 = 36
S0, 6= 36

Question 11.
\(\sqrt{100}\)
Answer:
10
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{100}\) = 10 x 10 = 100
S0, 10= 100

Question 12.
\(\sqrt{64}\)
Answer:
8
Explanation:
Square root of a number is a number, when multiplied by itself is equal to that number.
\(\sqrt{64}\) = 8 x 8 = 64
S0, 8= 64

Square these numbers.

Question 13.
12
Answer:
1
Explanation:
Square a number means multiplying the number by itself.
12= 1 x 1 = 1

Question 14.
22
Answer:
4
Explanation:
Square a number means multiplying the number by itself.
22= 2 x 2 = 4

Question 15.
32
Answer:
9
Explanation:
Square a number means multiplying the number by itself.
32= 3 x 3 = 9

Question 16.
42
Answer:
16
Explanation:
Square a number means multiplying the number by itself.
42= 4 x 4 = 16

Question 17.
52
Answer:
25
Explanation:
Square a number means multiplying the number by itself.
52= 5 x 5 = 25

Question 18.
62
Answer:
36
Explanation:
Square a number means multiplying the number by itself.
62= 6 x 6 = 36

Question 19.
72
Answer:
49
Explanation:
Square a number means multiplying the number by itself.
72= 7 x 7 = 49

Question 20.
82
Answer:
64
Explanation:
Square a number means multiplying the number by itself.
82= 8 x 8 = 64

Question 21.
92
Answer:
81
Explanation:
Square a number means multiplying the number by itself.
92= 9 x 9 = 81

Question 22.
102
Answer:
100
Explanation:
Square a number means multiplying the number by itself.
102= 10 x 10 = 100

Question 23.
112
Answer:
121
Explanation:
Square a number means multiplying the number by itself.
112= 11 x 11 = 121

Question 24.
122
Answer:
144
Explanation:
Square a number means multiplying the number by itself.
122= 12 x 12 = 144

McGraw Hill Math Grade 8 Lesson 10.3 Answer Key More about Exponents

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.3 More about Exponents to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.3 More about Exponents

Exercises

CALCULATE

Convert to a fraction.

Question 1.
4-3
Answer:
\(\frac{1}{64}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
4-3  =1/4= \(\frac{1}{4x4x4}\) = \(\frac{1}{64}\)

Question 2.
3-3
Answer:
\(\frac{1}{27}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
3-3  =1/3= \(\frac{1}{3x3x3}\) =  \(\frac{1}{27}\)

Question 3.
6-4
Answer:
\(\frac{1}{1296}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
6-4  =1/6= \(\frac{1}{6x6x6x6}\) =  \(\frac{1}{1296}\)

Question 4.
5-5
Answer:
\(\frac{1}{3125}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
5-5  =1/5= \(\frac{1}{5x5x5x5x5}\)  = \(\frac{1}{3125}\)

Question 5.
7-2
Answer:
\(\frac{1}{49}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
7-2  =1/7= \(\frac{1}{7×7}\) = \(\frac{1}{49}\)

Question 6.
4-1
Answer:
\(\frac{1}{4}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
4-1  =1/4= \(\frac{1}{4}\) 

Question 7.
9-5
Answer:
\(\frac{1}{59049}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
9-5  =1/9= \(\frac{1}{9x9x9x9x9}\) = \(\frac{1}{59049}\)

Question 8.
2-8
Answer:
\(\frac{1}{256}\)
Explanation:
a-n  =1/an = \(\frac{1}{a}\)n
2-8  =1/2= \(\frac{1}{2x2x2x2x2x2x2x2}\) = \(\frac{1}{256}\)

Convert to exponential form.

Question 9.
\(\frac{1}{64}\)
Answer:
8-2 or 2-6
Explanation:
\(\frac{1}{a}\) = 1/an = a-n 
\(\frac{1}{64}\) = 1/ 2=2-6  

Question 10.
\(\frac{1}{81}\)
Answer:
9-2
Explanation:
\(\frac{1}{a}\) = 1/an = a-n 
\(\frac{1}{81}\) = 1/ 9=9-2  

Question 11.
\(\frac{1}{9}\)
Answer:
3-2
Explanation:
\(\frac{1}{a}\) = 1/an = a-n 
\(\frac{1}{9}\) = 1/ 3=3-2  

Question 12.
\(\frac{1}{25}\)
Answer:
5-2
Explanation:
\(\frac{1}{a}\) = 1/an = a-n 
\(\frac{1}{25}\) = 1/ 5=5-2  

Multiply

Question 13.
44 × 4-2
Answer:
16 or 42
Explanation:
am x an = am + n
44 x 4-2 = 44 – 2
= 42
= 16

Question 14.
57 × 5-4
Answer:
125 or 53
Explanation:
am x an = am + n
57 x 5-4 = 57 – 4
= 53
= 125

Question 15.
712 × 7-6
Answer:
117,649 or 76
Explanation:
am x an = am + n
712 x 7-6 = 712 – 6
= 76
= 117,649

Question 16.
1424 × 14-20
Answer:
38,416 or 144
Explanation:
am x an = am + n
1424 x 14-20 = 14 24 – 20
= 144
= 38,416

McGraw Hill Math Grade 8 Lesson 10.2 Answer Key Powers

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.2 Powers to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.2 Powers

Exercises

CALCULATE

Express your answer using a base and an exponent.

Question 1.
(54)3
Answer:
512
Explanation:
(am)=am x n 
(54)3 = 54 x 3 = 512
Question 2.
(87)5
Answer:
835
Explanation:
(am)=am x n 
(87)5 = 87 x 5 = 835
Question 3.
(1410)7
Answer:
1470
Explanation:
(am)=am x n
(1410)7 = 1410 x 7 = 1470
Question 4.
(320)8
Answer:
3160
Explanation:
(am)=am x 
(320)8 = 320 x 8 = 3160
Question 5.
764
Answer:
71296
Explanation:
(am)=am x n 
(54)3 = 56 x 4 = 71296
Question 6.
824
Answer:
816
Explanation:
am = a x a x a …. m times
24 = 2 x 2 x 2 x 2 = 16
82x2x2x2 =  816
Question 7.
1983
Answer:
19512
Explanation:
am = a x a x a …. m times
83 = 8x8x8 = 512
198x8x8 =  8512
Question 8.
1593
Answer:
15729
Explanation:
am = a x a x a …. m times
93 = 9x9x9 = 729
159x9x9 =  15729
Question 9.
(83)8
Answer:
824
Explanation:
(am)=am x n 
(83)8 = 83×8 = 824
Question 10.
(25)6
Answer:
230
Explanation:
(am)=am x n 
(25)6 = 2 5x 6 = 230
Question 11.
(74)15
Answer:
760
Explanation:
(am)=am x n 
(74)15 = 74×15 = 760
Question 12.
(135)3
Answer:
1315
Explanation:
(am)=am x n 
(135)3 = 135×3 = 1315

 

McGraw Hill Math Grade 8 Lesson 10.1 Answer Key Multiplying and Dividing Exponents

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.1 Multiplying and Dividing Exponents to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 10.1 Multiplying and Dividing Exponents

Exercises

CALCULATE

Express your answer using a base and an exponent.

Question 1.
45 × 45
Answer:
410
Explanation:
To multiply a base raised to a power by the same base raised to a power,
simply add the exponents as shown below,
45+5 =  410
Question 2.
75 ÷ 73
Answer:
72
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
75-3 =  72
Question 3.
316 ÷ 34
Answer:
312
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
316-4 =  312
Question 4.
1222 × 125
Answer:
1227
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
75-3 =  72
Question 5.
117 × 115
Answer:
1112
Explanation:
To multiply a base raised to a power by the same base raised to a power,
simply add the exponents as shown below,
117+5= 1112
Question 6.
1232 ÷ 1210
Answer:
1222
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
1232-10 =  1222
Question 7.
105 × 104
Answer:
109
Explanation:
To multiply a base raised to a power by the same base raised to a power,
simply add the exponents as shown below,
105+4 =  109
Question 8.
237 ÷ 236
Answer:
231
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
237-6=  231
Question 9.
1616 ÷ 162
Answer:
1614
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
1616-2 =  1614
Question 10.
155 ÷ 153
Answer:
152
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
155-3 =  152
Question 11.
1111 ÷ 112
Answer:
119
Explanation:
To divide a base raised to a power by the same base raised to a power,
simply subtract the exponents as shown below,
1111-2 =  119
Question 12.
44 × 47
Answer:
411
Explanation:
To multiply a base raised to a power by the same base raised to a power,
simply add the exponents as shown below,
44+7 =  411

McGraw Hill Math Grade 4 Chapter 11 Test Answer Key

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 11 Test to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Chapter 11 Test Answer Key

Multiply to find each missing number.

Question 1.
3 kg = _____________ g
Answer:
3000 g

Explanation:
1 kg = 1000 g
3 kg = 3 x 1000 = 3000 g
So, 3 kg = 3000 g.

Question 2.
3 lb = ____________ oz
Answer:
1 lb = 16 oz
3 lb = 3 x 16 = 48 lb
So, 3 lb = 48 oz.

Question 3.
106 L = ______________ mL
Answer:
106,000 ml

Explanation:
1 L = 1000 ml
106 L = 106 x 1000 = 106,000 ml
So, 106 L = 106,000 ml.

Question 4.
5 gal = _____________ pt
Answer:
40 pt

Explanation:
1 gal = 8 pt
5 gal = 5 x 8 = 40 pt
So, 5 gal = 40 pt.

Question 5.
5 pt = _____________ c
Answer:
10 c

Explanation:
1 pt = 2 c
5 pt = 5 x 2 = 10 c
So, 5 pt = 10 c.

Question 6.
5 minutes = __________ seconds
Answer:
300 seconds

Explanation:
1 minute = 60 seconds
5 minutes = 5 x 60 = 300 seconds
So, 5 minutes = 300 seconds.

Place a check mark next to the best answer.

Question 7.
What is the mass of a small dog?
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 1
__________ about 5 grams
__________ about 40 grams
__________ about 40 kilograms
__________ about 5 kilograms
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img1

Explanation:
The mass of a small dog is about 5 kilograms.

Question 8.
What does a school bus weigh?
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 2
__________ about 10 tons
__________ about 700 tons
__________ about 100 lbs
__________ about 700 pounds
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img2

Explanation:
A school bus weigh about 10 tons.

Question 9.
What is the capacity of a can of soup?
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 6
__________ about 15 milliliters
__________ about 150 liters
__________ about 150 milliliters
__________ about 15 liters
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img3

Explanation:
The capacity of a can of soup is about 150 milliliters.

Question 10.
What is the capacity of a can of paint?
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 3
__________ about 300 cups
__________ about 30 gallons
__________ about 300 pints
__________ about 3 quarts
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img4

Explanation:
The capacity of a an of paint is about 3 quarts.

Question 11.
How long does it take to eat lunch?
__________ about 20 seconds
__________ about 2 minutes
__________ about 20 minutes
__________ about 2 hours
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img5

Explanation:
It takes about 20 minutes to eat lunch.

The line plot shows the volume of water in liters in nine small fish tanks.
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 4

Use the data in the line plot to answer questions 12-17.

Question 12.
What is the greatest volume shown on the line plot?
Answer:
11\(\frac{4}{5}\)

Explanation:
The last X marks in above the line plot are at 11\(\frac{4}{5}\)
So, 11\(\frac{4}{5}\) is the greatest volume shown on the line plot.

Question 13.
What is the most common volume shown on the line plot?
Answer:
11\(\frac{2}{5}\)

Explanation:
There are more X marks above the fraction 11\(\frac{2}{5}\)
So, 11\(\frac{2}{5}\) is the most common volume shown on the line plot.

Question 14.
How many fish tanks have a volume of 11\(\frac{1}{5}\) liters?
Answer:
1

Explanation:
In the above line plot only 1 x mark is marked against the fraction 11\(\frac{1}{5}\)
So, 1 fish tank have a volume of 11\(\frac{1}{5}\) liters.

Question 15.
Which volume is an outlier?
Answer:
10 L

Explanation:
10 L is far from the other numbers in the data set
It is an outliner
An outliner is any number that is very different from the rest of the numbers in the set
So, 10 L is an outliner.

Question 16.
What is the difference between the greatest volume and the least volume shown on the line plot?
Answer:
1\(\frac{4}{5}\)

Explanation:
11\(\frac{4}{5}\) is the greatest volume shown on the line plot
10 is the least volume shown on the line plot
Subtract to find
11\(\frac{4}{5}\) – 10 = 1\(\frac{4}{5}\) L
So, the difference between the greatest volume and the least volume shown on the line plot is 1\(\frac{4}{5}\) L.

Question 17.
What is the sum of the capacities of the three smallest fish tanks?
Answer:
30\(\frac{8}{5}\)

Explanation:
The capacities of the three smallest fish tanks are 10, 10\(\frac{4}{5}\) and 10\(\frac{4}{5}\)
Add to find
10 + 10\(\frac{4}{5}\) +10\(\frac{4}{5}\) = 30\(\frac{8}{5}\) L
So, the sum of the capacities of the three smallest fish tanks is 30\(\frac{8}{5}\) L.

Use the number line to solve.
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key 5
Question 18.
Jenn measures some beetles she found in a garden. The first beetle is 4\(\frac{2}{4}\) cm long. The second beetle is 1\(\frac{1}{4}\) cm longer than the first beetle. How long is the second beetle?
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img6

Explanation:
Jenn measures some beetles she found in a garden
The first beetle is 4\(\frac{2}{4}\) cm long
The second beetle is 1\(\frac{1}{4}\) cm longer than the first beetle
Add to find
I marked the numbers on the number line and drew jumps forward to add
4\(\frac{2}{4}\) cm + 1\(\frac{1}{4}\) cm = 5\(\frac{3}{4}\) cm
So, the second bee is 5\(\frac{3}{4}\) cm long.

Question 19.
A craft store sells buttons. Large black buttons are 5\(\frac{3}{4}\) cm wide. Brown buttons are 3\(\frac{1}{4}\) cm narrower than the black buttons. How wide are the brown buttons?
Answer:
McGraw Hill Math Grade 4 Chapter 11 Test Answer Key img7

Explanation:
A craft store sells buttons
Large black buttons are 5\(\frac{3}{4}\) cm wide
Brown buttons are 3\(\frac{1}{4}\) cm narrower than the black buttons
Subtract to find
I marked the numbers on the number line and drew jumps backward to subtract
5\(\frac{3}{4}\) cm – 3\(\frac{1}{4}\) cm = 2\(\frac{2}{4}\) cm
So, the brown buttons are 2\(\frac{2}{4}\) cm long.

McGraw Hill Math Grade 4 Chapter 11 Lesson 8 Answer Key Problem Solving: Using a Number Line

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 11 Lesson 8 Problem Solving: Using a Number Line to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 11 Lesson 8 Problem Solving: Using a Number Line

Solve

Use the number line to add or subtract.
McGraw Hill Math Grade 4 Chapter 11 Lesson 8 Answer Key Problem Solving Using a Number Line 1

Question 1.
Laith has a book that is 9\(\frac{1}{4}\) in. long. Jason’s book is 1 \(\frac{2}{4}\) in. longer than Laith’s. How long is Jason’s book?
Answer:
McGraw Hill Math Grade 4 Chapter 11 Lesson 8 Answer Key img1

Explanation:
Laith has a book that is 9\(\frac{1}{4}\) in. long
Jason’s book is 1 \(\frac{2}{4}\) in. longer than Laith’s
Add to find
I marked the numbers on the number line and drew jumps forward to add
9\(\frac{1}{4}\) in. + 1\(\frac{2}{4}\) in. = 11
So, Jason’s book is 11 in.

Question 2.
Mia has a string that is 11\(\frac{3}{4}\) in. long. Ian has a string that is 2\(\frac{2}{4}\) in. shorter than Mia’s. How long is Ian’s string?
Answer:
McGraw Hill Math Grade 4 Chapter 11 Lesson 8 Answer Key img2

Explanation:
Mia has a string that is 11\(\frac{3}{4}\) in. long
Ian has a string that is 2\(\frac{2}{4}\) in. shorter than Mia’s
Subtract to find
I marked the numbers on the number line and drew jumps backward to subtract
11\(\frac{3}{4}\) in. – 2\(\frac{2}{4}\) in. = 9\(\frac{1}{4}\) in.
So, Lan’s string 9\(\frac{1}{4}\) in. long.

McGraw Hill Math Grade 4 Chapter 11 Lesson 7 Answer Key Using Line Plots to Solve Problems

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 11 Lesson 7 Using Line Plots to Solve Problems to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 11 Lesson 7 Using Line Plots to Solve Problems

Solve

The line plot shows the height in feet of a number of parade balloons.
McGraw Hill Math Grade 4 Chapter 11 Lesson 7 Answer Key Using Line Plots to Solve Problems 1

Question 1.
What is the difference between the tallest balloon and the shortest balloon shown on the line plot?
Answer:
4\(\frac{1}{4}\)

Explanation:
The above line plot tells that the tallest balloon is 49\(\frac{3}{4}\) fee
The shortest balloon is 45\(\frac{2}{4}\) feet
Subtract to find the difference
49\(\frac{3}{4}\) – 45\(\frac{2}{4}\)  = 4\(\frac{1}{4}\) feet
So, the difference between tallest balloon and the shortest balloon shown on the line plot is 4\(\frac{1}{4}\) feet.

Question 2.
What is the difference of the most common height shown and the shortest height shown?
Answer:
2 feet

Explanation:
The above line plot tells that the height of the most common balloon is 47\(\frac{2}{4}\)
The height of the shortest balloon is 45\(\frac{2}{4}\)
Subtract to find the difference
47\(\frac{2}{4}\) – 45\(\frac{2}{4}\) = 2
So, the difference of the most common height shown and the shortest height is 2 feet.

McGraw Hill Math Grade 4 Chapter 11 Lesson 6 Answer Key Using Line Plots

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 11 Lesson 6 Using Line Plots to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 11 Lesson 6 Using Line Plots

Interpret and Diagram

The line plot shows the mass in kilograms of eight dogs.

McGraw Hill Math Grade 4 Chapter 11 Lesson 6 Answer Key Using Line Plots 1

Question 1.
What is the most common mass?
Answer:
32\(\frac{1}{2}\) kg

Question 2.
What is the greatest mass shown on the line plot?
Answer:
33\(\frac{1}{4}\) kg

Explanation:
In the above line plot, more number of X marks are above number 33\(\frac{1}{4}\)
33\(\frac{1}{4}\) kg is the greatest mass shown on the above line plot.

Question 3.
Which mass is an outlier?
Answer:
31\(\frac{1}{4}\) kg

Explanation:
31\(\frac{1}{4}\) kg is far from the other numbers in the data set
It is an outliner
An outliner is any number that is very different from the rest of the numbers in the set
So, 31\(\frac{1}{4}\) kg is an outliner.

Question 4.
How many dogs have a mass of 33 kg?
Answer:
1 dog

Explanation:
In the above line plot, 1 X mark is above number 33
So, 1 dog have the mass of 33 kg.

McGraw Hill Math Grade 4 Chapter 11 Lesson 5 Answer Key Units of Time

Practice the questions of McGraw Hill Math Grade 4 Answer Key PDF Chapter 11 Lesson 5 Units of Time to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 4 Answer Key Chapter 11 Lesson 5 Units of Time

Solve

Place a check mark next to the best answer.

Question 1.
How long is a season?
____________ about 1 week
____________ about 1 month
____________ about 3 months
Answer:
McGraw Hill Math Grade 4 Chapter 11 Lesson 5 Answer Key img1

Explanation:
A season is about 3 months.

Question 2.
Multiply to complete the tables.
McGraw Hill Math Grade 4 Chapter 11 Lesson 5 Answer Key Units of Time 1
Answer:
McGraw Hill Math Grade 4 Chapter 11 Lesson 5 Answer Key img2

Explanation:
We know that 1 year = 12 months or 52 weeks or 365 days
1 day = 24 hours
1 minute = 60 seconds
So, I completed the table using the above information.

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