McGraw Hill Math Grade 7 Unit Test Lessons 9-12 Answer Key

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McGraw-Hill Math Grade 7 Unit Test Lessons 9-12 Answer Key

Round to the nearest tenth.

Question 1.
3406.997 _____
Answer:
3407.0
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 3406.997 is round off to 3407.

Question 2.
334,782.099 _______
Answer:
334,782.1
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 334,782.099  is round off to 334,782.1.

Question 3.
65,529.0887 _____
Answer:
65,529.1
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 65,529.0887 is round off to 65,529.1

Question 4.
12.94996 _______
Answer:
12.9
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 12.94996 is round off to 12.9

Round to the nearest hundredth.

Question 5.
2,467,891.3554 ________
Answer:
2,467,891.36
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 2,467,891.3554 is round off to 2,467,891.36

Question 6.
12.4532 __________
Answer:
12.45
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
12.4532 is round to the nearest hundredth 12.45

Question 7.
97.009 ___________
Answer:
97.01
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 97.009 is round to the nearest hundredth 97.01

Question 8.
17.61093 _________
Answer:
17.61
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc
So, 17.61093 is round to the nearest hundredth 17.61

Round to the nearest ten thousandth.

Question 9.
467,001.35545 ____
Answer:
467,001.3555
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 467,001.35545 is round off the nearest ten thousandth 467,001.3555.

Question 10.
199.11115 _________
Answer:
199.1112
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 199.11115 is round off the nearest ten thousandth 199.1112.

Question 11.
1,683,679.57344 _____
Answer:
1,683,679.5734
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 1,683,679.57344 is round off the nearest ten thousandth 1,683,679.5734.

Question 12.
8.194301 _________
Answer:
8.1943
Explanation:
Rounding off means a number is made simpler by keeping its value intact but closer to the next number.
It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.,
So, 8.194301 is round off the nearest ten thousandth 8.1943.

Convert decimals to fractions.

Question 13.
.8 _______
Answer:
\(\frac{4}{5}\)
Explanation:
multiply 0.8 by 10 and dividing be 10 to convert in to p/q format.
= \(\frac{8}{10}\)
= \(\frac{4}{5}\)

Question 14.
.875 ____
Answer:
\(\frac{7}{8}\)
Explanation:
multiply 0.875 by 1000 and dividing be 1000 to convert in to p/q format.
= \(\frac{875}{1000}\)
= \(\frac{7 X125}{8 X 125}\)
= \(\frac{7}{8}\)

Question 15.
.08 ____
Answer:
\(\frac{2}{25}\)
Explanation:
multiply 0.08 by 100 and dividing be 100 to convert in to p/q format.
= \(\frac{8}{100}\)
= \(\frac{2 X 4}{25 X 4}\)
= \(\frac{2}{25}\)

Question 16.
.625 ____
Answer:
\(\frac{5}{8}\)
Explanation:
multiply 0.625 by 1000 and dividing be 1000 to convert in to p/q format.
= \(\frac{625}{1000}\)
= \(\frac{5 X 125}{8 X 125}\)
= \(\frac{5}{8}\)

Convert fractions to decimals.

Question 17.
\(\frac{3}{5}\) _______
Answer:
0.6
Explanation:
To convert a fraction to a decimal. In a fraction, the fraction bar means divided by (÷).
\(\frac{3}{5}\)
Every fraction represents its numerator with its denominator.
3 ÷ 5
= 3 x 2 ÷ 5 x 2
= 6 ÷ 10
= 0.6

Question 18.
\(\frac{8}{15}\) _______
Answer:
0.5333
Explanation:
To convert a fraction to a decimal. In a fraction, the fraction bar means divided by (÷).
\(\frac{8}{15}\)
Every fraction represents its numerator with its denominator.
8 ÷ 15
= 3 x 2 ÷ 5 x 2
= 6 ÷ 10
= 0.6

Question 19.
\(\frac{3}{16}\) _______
Answer:
0.1875
Explanation:

Question 20.
6\(\frac{1}{8}\) _______
Answer:
6.125
Explanation:
6\(\frac{1}{8}\)
= \(\frac{6 x 8 + 1}{8}\)
= \(\frac{49}{8}\)

Put the decimals in order from greatest to least.

Question 21.
.122, .1145, .616, .6165, .513, .3132, .2126, .819
________________________
Answer:
0.819, 0.6165, 0.616, 0.513, 0.3132, 0.2126, 0.122, 0.1145
Explanation:
When comparing the numbers with the decimal numbers,
always compare the whole numbers first.
If two whole numbers are same then moving right to the decimal of the numbers,
we compare as shown above.

Question 22.
.217, .0217, .0133, .0487, .1243, .20413, .5257, .05257, .05205
Answer:
0.5257, 0.217, 0.20413, 0.1243, 0.05257, 0.05205, 0.0487, 0.0217, 0.0133
Explanation:
When comparing the numbers with the decimal numbers,
always compare the whole numbers first.
If two whole numbers are same then moving right to the decimal of the numbers,
we compare as shown above.

Add or Subtract.

Question 23.

Answer:
3.472817
Explanation:
Line up all the addends according to their place values.
If the sum of the place value has 2 digits,
then write the second digit and carry the first digit to the next column.

Question 24.

Answer:
6.53518656
Explanation:
Line up all the addends according to their place values.
If the sum of the place value has 2 digits,
then write the second digit and carry the first digit to the next column.

Question 25.

Answer:
6.660933
Explanation:
Line up all the addends according to their place values.
If the sum of the place value has 2 digits,
then write the second digit and carry the first digit to the next column.

Question 26.

Answer:
1.91916
Explanation:
Arrange the given numbers according to their place value,
starting from ones, tens and so on..
Then subtract the bigger number from the smaller,
If required borrow one from the next column to find the difference.

Question 27.

Answer:
1.428711
Explanation:
Arrange the given numbers according to their place value,
starting from ones, tens and so on..
Then subtract the bigger number from the smaller,
If required borrow one from the next column to find the difference.

Question 28.

Answer:
2.24946656
Explanation:
Arrange the given numbers according to their place value,
starting from ones, tens and so on..
Then subtract the bigger number from the smaller,
If required borrow one from the next column to find the difference.

Question 29.

Answer:
$6.75
Explanation:
Line up all the addends according to their place values.
If the sum of the place value has 2 digits,
then write the second digit and carry the first digit to the next column.

Question 30.

Answer:
$2.78
Explanation:
Line up all the addends according to their place values.
If the sum of the place value has 2 digits,
then write the second digit and carry the first digit to the next column.

Multiply or Divide.

Question 31.

Answer:
36.297
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.

Question 32.

Answer:
2119.175
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.

Question 33.

Answer:
$0.1068
round off to
$0.11
Explanation:

Question 34.

Answer:
7.48935
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.

Question 35.

Answer:
$0.92
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.
0.9184 is round off to 0.92

Question 36.

Answer:
2.9768005
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.

Question 37.

Answer:
$6.88
Explanation:
Line up all the numbers according to the place values,
then multiply with ones place first and then move to the next place.
Always write zeros in place holders.
6.875 is round off to 6.88

Question 38.

Answer:
1.478625
Explanation:

Question 39.

Answer:
6.380989
Explanation:
2.24 x 100 = 224
14.293415 x 100 = 1429.3415

6.38098883 is round off to 6.380989

Question 40.

Answer:
$11.70
Explanation:
.23 x 100 = 23
2.69 x 100 = 269

11.6956 is round off to 11.70

Question 41.

Answer:
23.22
Explanation:
0.025 x 1000 = 25
0.5805 x 1000 = 580.5

Question 42.

Answer:
1.4189
Explanation:

Estimate, then multiply or divide.

Question 43.

Answer:
Estimate: 0.09
Product: 0.106575
Explanation:
Round each factor to its highest place values,
and then multiply the rounded amounts.
0.3 x 0.3 = 0.9

Question 44.

Answer:
Estimate: 0.6
Quotient: 0.6362
Explanation:
Ignore the decimals first.
143143 ÷ 225
then place the decimals in the quotient as shown below,

0.636191111 is round off to the nearest 0.6362

Question 45.

Answer:
Estimate: 300
Product: 303.50
Explanation:
Round each factor to its highest place values,
and then multiply the rounded amounts.
1200 x 25 = 300

Question 46.

Answer:
Estimate: 13750
Quotient: 13755
Explanation:
Ignore the decimals first.
5502 ÷ 4
then place the decimals in the quotient as shown below,

Question 47.

Answer:
Estimate: 90
Product: 90.75
Explanation:
Round each factor to its highest place values,
and then multiply the rounded amounts.
6 x 15 = 90

Question 48.

Answer:
Estimate: 50
Quotient: 45.61818
Explanation:
Ignore the decimals first.
2509 ÷ 55
then place the decimals in the quotient as shown below,

Question 49.

Answer:
Estimate: 320
Product: 308.01465
Explanation:
Round each factor to its highest place values,
and then multiply the rounded amounts.
80 x 4 = 320

Question 50.

Answer:
Estimate: 60
Quotient: 55.419
Explanation:
Ignore the decimals first.
184545 ÷ 333
then place the decimals in the quotient as shown below,

Question 51.
Flora went to the stationery store to buy tools for her art class. She spent $2.50 on colored pencils, $7.05 on a set of artist pallets, $4.59 for a used straight edge, $2.09 for a lined memo pad, and $5.28 for a new water bottle. How much did she spend altogether? ________
If Flora only brought thirty dollars with her, did she have enough money?
If so, how much change should she get back? ___________
If not, how much more money does she need? _________
Answer:
Total amount spent = $21.51
Yes, she has enough money.
Change she gets back = $8.49
Total amount she need = Not required.
Explanation:
Flora spent $2.50 on colored pencils,
$7.05 on a set of artist pallets,
$4.59 for a used straight edge,
$2.09 for a lined memo pad and
$5.28 for a new water bottle.
Total amount she spend altogether ,
$2.50 + $7.05 + $4.59 + $2.09 + $5.28 = $21.51
If Flora only brought thirty dollars with her,
Yes, she have enough money because she need to spend only $21.51
Total change she get back $30 – $21.51 = $8.49
She don’t need any extra amount.

Question 52.
Thad and his chess club raised a total of $563.75 for the local homeless shelter. There are 11 people in the chess club. If each member raised the same amount of money, how much did each member raise?
Answer:
$51.25
Explanation:
Thad and his chess club raised a total of $563.75 for the local homeless shelter.
There are 11 people in the chess club.
If each member raised the same amount of money,
Total amount each member raise is $563.75 ÷ 11 = $51.25

Question 53.
Jane went to the store to buy food for a party of 8 friends. She spent $3.75 on each person for soup, $1.15 each for a warm beverage, and $.76 each for a piece of fruit. How much did she spend in total to buy the food?
She brought two $20-bills with her. ______
Did she have enough money? ________
Answer:
Total amount to buy the food = $45.28
No, she didn’t have enough money.
Explanation:
Jane went to the store to buy food for a party of 8 friends.
She spent $3.75 on each person for soup,
$1.15 each for a warm beverage and
$.76 each for a piece of fruit.
Total amount spent to buy on food,
3.75 + 1.15 + 0.76 = 5.66
food for a party of 8 friends
5.66 x 8 = 45.28
She brought two $20-bills with her.
No, she didn’t have enough money.

Question 54.
Evelyn drives 14.25 miles each way to visit her aunt. What is the total distance she drives if she visits
her aunt 3 times?
Answer:
85.5 miles
Explanation:
Evelyn drives 14.25 miles each way to visit her aunt,
if she visits her aunt 3 times then,
14.25 x 2 = 28.5 per one visit.
The total distance she drives if she visits her aunt 3 times
28.5 x 3 = 85.5

Question 55.
A drilling rig can drill to -5 meters below the ground in an hour. At that speed, how far has the rig dug in a week? __________
Answer:
– 840 meters.
Explanation:
A drilling rig can drill to -5 meters below the ground in an hour.
24 hours a day
– 5 X 24 = -120 meters per day
At that speed, how far has the rig dug in a week,
7 days a week
– 120 x 7 = – 840 meters per week