McGraw Hill Math Grade 7 Unit Test Lessons 1–5 Answer Key

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McGraw-Hill Math Grade 7 Unit Test Lessons 1-5 Answer Key

Add or subtract.

Question 1.

Answer:
311
Explanation:
Add the addends from the ones place,
carry the first number of the digit if any to get the sum.

Question 2.

Answer:
505
Explanation:
Add the addends from the ones place,
carry the first number of the digit if any to get the sum.

Question 3.

Answer:
1573
Explanation:
Add the addends from the ones place,
carry the first number of the digit if any to get the sum.

Question 4.

Answer:
4906
Explanation:
Add the addends from the ones place,
carry the first number of the digit if any to get the sum.

Question 5.

Answer:
652,576
Explanation:
Add the addends from the ones place,
carry the first number of the digit if any to get the sum.

Question 6.

Answer:
838
Explanation:
When the subratend is smaller than the minued,
then borrow from the next place of the number,
to find the difference.

Question 7.

Answer:
1219
Explanation:
When the subratend is smaller than the minued,
then borrow from the next place of the number,
to find the difference.

Question 8.

Answer:
6395
Explanation:
When the subratend is smaller than the minued,
then borrow from the next place of the number,
to find the difference.

Question 9.

Answer:
4889
Explanation:
When the subratend is smaller than the minued,
then borrow from the next place of the number,
to find the difference.

Question 10.

Answer:
379
Explanation:
When the subratend is smaller than the minued,
then borrow from the next place of the number,
to find the difference.

Round to the nearest thousand, then add or subtract.

Question 11.

Answer:
Nearest thousand is 21,000.
sum = 21,022
Explanation:
Nearest thousand to 6234 is 6000,
Nearest thousand to 14788 is 15000.
6000 + 15000 = 21000.
So, 21022 is nearest to 21000.

Question 12.

Answer:
Nearest thousand is 54,000.
sum = 53,931
Explanation:
Nearest thousand to 24573 is 25000,
Nearest thousand to 29358 is 29000.
25000 + 29000 = 54000.
So, 53931 is nearest to 54000.

Question 13.

Answer:
Nearest thousand is 67,000.
sum = 66,587
Explanation:
Nearest thousand to 12661 is 13000,
Nearest thousand to 44867 is 45000.
Nearest thousand to 9059 is 9000.
13000 + 45000 + 9000 = 67000.
So, 66587 is nearest to 67000.

Question 14.

Answer:
Nearest thousand is 71,000.
sum = 70,364
Explanation:
Nearest thousand to 15768 is 16000,
Nearest thousand to 44903 is 45000.
Nearest thousand to 9693 is 10000.
16000 + 45000 + 10000 = 71000.
So, 70364 is nearest to 71000.

Question 15.

Answer:
Nearest thousand is 90,000.
sum = 89,853
Explanation:
Nearest thousand to 79255 is 790000,
Nearest thousand to 5828 is 6000.
Nearest thousand to 4770 is 5000.
79000 + 6000 + 5000 = 90000.
So, 89853 is nearest to 90000.

Question 16.

Answer:
Nearest thousand is 9,000;
Difference = 8,576
Explanation:
Nearest thousand to 9870 is 10000,
Nearest thousand to 1294 is 1000.
10000 – 1000 = 9000.
So, 8576 is nearest to 9000.

Question 17.

Answer:
Nearest thousand is 14,000;
Difference = 13,890
Explanation:
Nearest thousand to 17650 is 18000,
Nearest thousand to 3760 is 4000.
18000 – 4000 = 14000.
So, 13890 is nearest to 4000.

Question 18.

Answer:
Nearest thousand is 10,000;
Difference = 10,263
Explanation:
Nearest thousand to 28735 is 29000,
Nearest thousand to 18472 is 19000.
29000 – 19000 = 10000.
So, 10263 is nearest to 10000.

Question 19.

Answer:
Nearest thousand is 12,000;
Difference = 11,716
Explanation:
Nearest thousand to 22908 is 23000,
Nearest thousand to 11192 is 11000.
23000 – 11000 = 12000.
So, 11716 is nearest to 12000.

Question 20.

Answer:
Nearest thousand is 38,000;
Difference = 37,866
Explanation:
Nearest thousand to 93556 is 94000,
Nearest thousand to 55690 is 56000.
94000 – 56000 = 38000.
So, 37866 is nearest to 38000.

Multiply or divide. Round to the nearest hundredth.

Question 21.

Answer:
Nearest hundredth of 3192 is 3000.
Explanation:

Question 22.

Answer:
Nearest hundredth of 22,356 is 22,000.
Explanation:

Question 23.

Answer:
Nearest hundredth of 21,850 is 22,000.
Explanation:

Question 24.

Answer:
Nearest hundredth of 30,260 is 30,000.
Explanation:

Question 25.

Answer:
Nearest hundredth of 48,766 is 49,000.
Explanation:

Question 26.

Answer:
Nearest hundredth is 14.
Explanation:

Question 27.

Answer:
Nearest hundredth is 21.
Explanation:

Question 28.

Answer:
Nearest hundredth of 58.25 is 58.
Explanation:

Question 29.

Answer:
Nearest hundredth of 18.36 is 18.
Explanation:

Question 30.

Answer:
Nearest hundredth of 13.35 is 13.
Explanation:

Round, then multiply or divide.

Question 31.

Answer:
Nearest number is 72,000;
product = 77,112
Explanation:
Nearest number of 918 is 900.
Nearest number of 84 is 80.
Ignore the zeros and multiply the numbers.
8 x 9 = 72
Then add the number of zeros to the product as 72,000.
So, nearest product of 77,112 is 72,000.

Question 32.

Answer:
Nearest number is 300,000;
product = 297,724
Explanation:
Nearest number of 9604 is 10000.
Nearest number of 31 is 30.
10,000 x 3 = 300,000
So, nearest product of 297,724 is 300,000.

Question 33.

Answer:
Nearest number is 24,000,000;
product = 21,996,652
Explanation:
Nearest number of 77453 is 80000.
Nearest number of 300 is 300.
Ignore the zeros and then multiply the numbers.
8 x 3 = 24
Then add the zeros to the product as 24,000,000.
So, nearest product of 21,996,652 is 24,000,000.

Question 34.

Answer:
Nearest number is 5,600,000;
product = 5,067,270
Explanation:
Nearest number of 13845 is 140000.
Nearest number of 366 is 400.
140,000 x 400 = 5,600,000
So, nearest product of 5,067,270 is 5,600,000.

Question 35.

Answer:
Nearest number is 48,000,000;
product = 46,163,126
Explanation:
Nearest number of 79867 is 80000.
Nearest number of 578 is 600.
80,000 x 600 = 48,000,000
So, nearest product of 46,163,126 is 48,000,000.

Question 36.

Answer:
3.09
Explanation:

3.0887 is round off to 3.09

Question 37.

Answer:
5.86
Explanation:

5.8571 is round off to 5.86

Question 38.

Answer:
16.68
Explanation:

Question 39.

Answer:
121.89
Explanation:

Question 40.

Answer:
1,025.57
Explanation:

Give the place value of the number 7 for questions 41-44.

Question 41.
1,845,732
__________
Answer:
7 is in Hundredth place.
Explanation:
7 is in hundredth place as shown below.

Question 42.
45.357
__________
Answer:
7 is in Thousandth place.
Explanation:
The value of digit depends on the place it occupies.

Question 43.
73,561,132.001
__________
Answer:
7 is in Ten millions place.
Explanation:
The value of digit depends on the place it occupies.

Question 44.
20.075
__________
Answer:
7 is in Hundredths place.
Explanation:
The value of digit depends on the place it occupies.

Question 45.
Parks Commissioner Davis is planning for the town’s upcoming fiscal year. Last year the town had a total of 2,435 visitors to its nature center, 7,693 visitors to its children’s park, and 9,287 visitors to its arboretum. How many visitors did the town’s parks have, in total, last year?
Answer:
19415 visitors
Explanation:
Last year the town had a total of 2,435 visitors to its nature center,
7,693 visitors to its children’s park,
9,287 visitors to its arboretum.
Total number of visitors to the town’s parks last year,
2,435 + 7,693 + 9,287 = 19,415

Question 46.
Last year Trey had 435 coins in his collection. This year Trey added 124 more coins to his collection. How many coins does he now have in his collection?
Answer:
559 coins
Explanation:
Last year Trey had 435 coins in his collection.
This year Trey added 124 more coins to his collection.
Total coins he now have in his collection 435 + 124 = 559 coins.

Question 47.
Edie’s favorite magazine has a total of 1,476 pages of advertising each year. If the magazine is published every month, about how many pages of advertising are in each issue?
__________________
How many pages exactly?
__________________
Answer:
About 120 pages;
123 pages exactly.
Explanation:
Edie’s favorite magazine has a total of 1,476 pages of advertising each year.
If the magazine is published every month,
Total pages of advertising in each issue every month,
1 year has 12 months.
1476 ÷ 12 =123 pages exactly,
about 120 pages every month.

Question 48.
At 1,776 feet in height, the new Freedom Tower in New York will be one of the tallest buildings in the world. What is the height of the building written in expanded form?
Answer:
(1 x 1000) + (7 x 100) + (7 x 100  (6 x 1)
Explanation:
Given height is 1,776 feet ,
In expanded form we write the numbers according to their place values.
1 in thousands place, 7 is in hundreds place, 7 is in tens place and 6 is in ones place.
(1 x 1000) + (7 x 100) + (7 x 100  (6 x 1)

Question 49.
What is the word form of the number 19,238,976?
Answer:
Nineteen million, two hundred thirty eight thousand, nine  hundred seventy six.
Explanation:
Given number 19,238,976
In word form we write the numbers according to their place values.
So, 19,238,976 is written as,
Nineteen million, two hundred thirty eight thousand, nine  hundred seventy six.

Calculate using order of operations (PEMDAS).

Question 50.
5 × (7 – 3)² + (19 — 5) × 2 + (6 – 3) × 2 + 2³
Answer:
122
Explanation:
5 × (7 – 3)² + (19 — 5) × 2 + (6 – 3) × 2 + 2³
= 5 × (4)² + (14) × 2 + (3) × 2 + 8
= 5 x 16 + 28 + 6 + 8
= 80 + 28 + 6 + 8
= 122

Question 51.
29 + (3 × 5) × 2 + (8 – 3)²
Answer:
84
Explanation:
29 + (3 × 5) × 2 + (8 – 3)²
= 29 + (15) × 2 + (5)²
= 29 + (15) × 2 + (5)²
= 29 + 30 +25
= 84

What number property does each expression display?

Question 52.
5 + (4 + 6) = (5 + 4) + 6
Answer:
Associative property of Addition.
Explanation:
a + (b + c) = (a + b) + c
5 + (4 + 6) = (5 + 4) + 6
15 = 15
Question 53.
2(6 + 3) = 2(6) + 2(3)
Answer:
Distributive property of Multiplication over Addition.
Explanation:
a x (b + c) = a x b + a x c
2(6 + 3) = 2(6) + 2(3)
2(9) = 12 + 6
18 = 18

Question 54.
15 + 16 + 18 = 18 + 16 + 15
Answer:
Commutative property of Addition.
Explanation:
Commutative property of Addition
a + b + c = c + b + a
15 + 16 + 18 = 18 + 16 + 15
31 + 18 = 34 + 15
49 = 49

Question 55.
24(1) = 24
Answer:
Identity property of Multiplication.
Explanation:
a x 1 = a
Identity property of Multiplication.
21 x 1 = 24

Question 56.
8 + 0 = 8
Answer:
Identity property of Addition.
Explanation:
Identity property of Addition.
a + 0 = a
Question 57.
20 × 1 = 20
Answer:
Identity property of Multiplication.
Explanation:
a x 1 = a
Identity property of Multiplication.
20 x 1 = 20

Question 58.
4 × (5 × 3) = (4 × 5) × 3
Answer:
Associative property of Multiplication.
Explanation:
a x (b x c) = (a x b) x c
4 × (5 × 3) = (4 × 5) × 3
4 x 15 = 20 x 3
60 = 60
Question 59.
63(0) + (63 + 0) = 0 + 63 = 63
Answer:
Zero property of Addition and Multiplication..
Explanation:
a x 0 + a + 0 = a
Zero property of Addition
a + 0 = a
Zero property of Multiplication.
a x 0 = 0
63(0) + (63 + 0) = 0 + 63 = 63

Solve each equation and indicate the point on the number line that corresponds with the answer.

Question 60.
-6 + 10 – 6 = ____
Answer:
D
Explanation:

-6 + 10 – 6 = 10 – 12 = – 2
Question 61.
-10 + 5 – 4 = ___
Answer:
C
Explanation:

-10 + 5 – 4 = 5 – 14 = – 9

Question 62.
-10 + (-4) + 8 = ___
Answer:
B
Explanation:

-10 + (-4) + 8
= 8 – 14
= – 6

Question 63.
9 – 5 + (-8) = ___
Answer:
A
Explanation:

9 – 5 + (-8)
= 9 – 5 – 8
= 9 – 13
= -4

Calculate.

Question 64.
—5 × 15
Answer:
-75
Explanation:
As -5 is negative integer multiplicand,
the product also negative integer, as below.
– 5 x 15 = – 75

Question 65.
-45 ÷ 9
Answer:
-5
Explanation:
As -45 is negative integer dividend,
the quotient also negative integer, as below.
-45 ÷ 9 = -5

Question 66.
63 ÷ (-7)
Answer:
-9
Explanation:
As -7 is negative integer divisor,
the quotient also negative integer, as below.
63 ÷ (-7) = -9

Question 67.
4 × (-6) ÷ -3
Answer:
8
Explanation:
4 x -6 = -24
-24 ÷ -3
As both the devisor and dividend are negative integers,
the result is positive integer, as shown below.
24 ÷ 3 = 8

Question 68.
Calculate: |-45| + |45| ___________
Answer:
90
Explanation:
45 is a absolute value with mod symbol,
Mod of any symbol get positive.
|-45| + |45| = 45 + 45 = 90

Question 69.
Which is larger: |-134| or |-135|? ________
Answer:
|-135|
Explanation:
|-135| is larger due to the 135 is a absolute value with mod symbol.

Question 70.
If Noah arrives 23 minutes late for an appointment and Matthew arrives 28 minutes early, who arrived closer to the correct time? ________________________________________________
Answer:
Noah
Explanation:

23 is closer to 0
Noah arrived closer to the correct time.