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

Write each number in standard form.

Question 1.
53 and 125 thousandths
__________
53 and 0.125.

Explanation:
The standard form of 53 is 53 and 125 thousandths is 125 ×10-3 which is 0.125.

Question 2.
96 thousandths
__________
0.096

Explanation:
The standard form of 96 thousandths is 96 ×10-3 which is 0.096.

Question 3.
2 billion, 109 million, 7
__________
2,000,000,000, 109,000,000 and 7.

Explanation:
The standard form of 2 billion is 2 ×109 which is 2,000,000,000.
109 million is 109 ×106 which is 109,000,000 and 7 is 7.

Write each number in word form.

Question 4.
19,103,578,143
19 – Nineteen.
103 – One hundred and three.
578 – Five hundred and seventy-eight.
143 – One hundred and forty-three.

Question 5.
200,200,200
200 – Two hundred.

Write >, <, or = to compare each pair of numbers.

Question 6.
5.7 ___ 5.71
5.7 < 5.71.

Explanation:
Here, 5.7 is less than 5.71.

Question 7.
0.093 ____ 0.93
0.093 < 0.93.

Explanation:
Here, 0.093 is less than 0.93.

Question 8.
1.046 ____ 1.046
1.046 = 1.046.

Explanation:
Here, 1.046 is equal to 1.046.

Round each number to the place of the underlined digit.

Question 9.
4.369 ___
4.370

Explanation:
The rounding of 4.369 is 4.370.

Question 10.
1.025 ____
1.020

Explanation:
The rounding of 1.025 is 1.020.

Question 11.
17.457 ____
18.

Explanation:
The rounding of 17.457 is 18

Question 12.

1.94 + 7.59 = 9.53.

Explanation:
The addition of 1.94 and 7.59 is 9.53.

Question 13.

557 + 623 = 1,180.

Explanation:
The addition of 557 + 623 is 1,180.

Question 14.

702 + 99 = 801.

Explanation:
The addition of 702 + 99 is 801.

Question 15.

5.38 + 0.92 = 6.3.

Explanation:
The addition of 5.38 + 0.92 is 6.3.

Question 16.
53.475 + 19.332 _________
53.475 + 19.332 = 72.807.

Explanation:
The addition of 53.475 + 19.332 is 72.807.

Question 17.
12.257 + 8.153 __________
12.257 + 8.153 = 20.41.

Explanation:
The addition of 12.257 + 8.153 is 20.41.

Question 18.
71.17 + 6.76 ______
71.17 + 6.76 = 77.93.

Explanation:
The addition of 71.17 + 6.76 is 77.93.

Subtract. Write the difference.

Question 19.

719 – 89 = 624.

Explanation:
The subtraction of 719 – 89 is 624.

Question 20.

8.89 – 2.98 = 5.91.

Explanation:
The subtraction of 8.89 – 2.98 is 5.91.

Question 21.

176 – 83 = 93.

Explanation:
The subtraction of 176 – 83 is 93.

Question 22.

343.81 – 66.10 = 277.71.

Explanation:
The subtraction of 343.81 – 66.10 is 277.71.

Question 23.
15,432 – 13,718 = _______
15,432 – 13,718 = 1.704.

Explanation:
The subtraction of 15.432 – 13.718 is 1.704.

Question 24.
150.62 – 42.37 = ________
150.62 – 42.37 = 108.25

Explanation:
The subtraction of 150.62 – 42.37 is 108.25.

Question 25.
83.01 – 78.81 = _________
83.01 – 78.81 = 4.2.

Explanation:
The subtraction of 83.01 – 78.81 is 4.2.

Question 26.
A potato weighs 7.72 ounces. An apple weighs 5.03 ounces. How many ounces heavier is the
potato than the apple?

Simplify and complete. Tell what property is represented.

Question 27.
20 × 8 = (______ × 8) + (10 × ______) = 80 + ___ = ____
_______ property
20 × 8 = (10 × 8) + (10 × 8)
= 160.

Explanation:
By distributive property 20 × 8 is
20 × 8 = (10 × 8) + (10 × 8)
= 80 + 80
= 160.

Question 28.
(30 × 4) × 5 = ______ × (4 × ______) = 30 × ______ = ______
_______________________________________ Property
(30 × 4) × 5 = 30 × (4 × 5)
= 600.

Explanation:
By associative property (30 × 4) × 5 is
(30 × 4) × 5 = 30 × (4 × 5)
= 30 × 20
= 600.

Multiply. Write the product.

Question 29.

46 × 3 = 138.

Explanation:
The product of 46 and 3 is 138.

Question 30.

28 × 14 = 392.

Explanation:
The product of 28 and 14 is 392.

Question 31.

511 × 4 = 2,044.

Explanation:
The product of 511 and 4 is 2,044.

Question 32.

123 × 75 = 9,225.

Explanation:
The product of 123 and 75 is 9,225.

Question 33.
A bakery bakes 5-dozen loaves of bread. Each loaf sells for 2 dollars. How much money will the bakery earn if it sells every loaf of bread?
For 60 loaves the bakery earns $120. Explanation: Given that a bakery bakes 5-dozen loaves of bread each loaf sells for 2 dollars. As there are 5×12 which is 60 loaves, so for 60 loaves the bakery earns 60 × 2 =$120.

Question 34.
2,811 × 102 = ___________
2,811 × 102 = 2,81,100.

Explanation:
The product of 2,811 × 102 is
2,811 × 102 = 2,811 × 10 × 10
= 2,81,100.

Question 35.
61 × 103 = _____________
61 × 103 = 61,000.

Explanation:
The product of 61 × 103 is
61 × 103 = 61 × 10 × 10 × 10
= 61,000.

Question 36.
77.6 × 101 = ______
77.6 × 101 = 776.

Explanation:
The product of 77.6 × 101 is
77.6 × 101 = 77.6 × 10
= 776.

Divide. Write the quotient.

Question 37.
81 ÷ 3 = ____
81 ÷ 3 = 27.

Explanation:
By dividing 81 ÷ 3 we will get a quotient of 27.

Question 38.
14 ÷ 4 = ______
14 ÷ 4 = 3.5

Explanation:
By dividing 14 ÷ 4 we will get a quotient of 3.5.

Question 39.
78 ÷ 6 = ____
78 ÷ 6 = 13.

Explanation:
By dividing 78 ÷ 6 we will get a quotient of 13.

Estimate. Then multiply or divide.

Question 40.
Estimate: 3.1 × 4 = ____
Multiply: 3.1 × 4 = _____
Estimate: 3.1 × 4 = 12
Multiply: 3.1 × 4 = 12.4

Explanation:
By multiplying 3.1 × 4 we will get 12.4.

Question 41.
Estimate: 7.13 × 5 = ____
Multiply: 7.13 × 5 = _____
Estimate: 7.13 × 5 = 36
Multiply: 7.13 × 5 = 35.65

Explanation:
By multiplying 7.13 × 5 we will get 35.65

Question 42.
Estimate: 11.09 × 6 = ____
Multiply: 11.09 × 6 = _____
Estimate: 11.09 × 6 = 67
Multiply: 11.09 × 6 = 66.54

Explanation:
By multiplying 11.09 × 6 we will get 66.54.

Question 43.
19.2 ÷ 104
Estimate: _____
Quotient: _____
Estimate: 0.02
Quotient: 0.00192

Explanation:
By dividing 19.2 ÷ 104 we will get
= 19.2 ÷ (10×10×10×10)
= 19.2 ÷ 10000
= 0.00192

Question 44.
872.3 ÷ 102
Estimate: _____
Quotient: _____
Estimate: 9.
Quotient: 8.723

Explanation:
By dividing 872.3 ÷ 102 we will get
= 872.3 ÷ (10×10)
= 8.723.

Question 45.
16.6 ÷ 103
Estimate: _____
Quotient: _____
Estimate: 0.02
Quotient: 0.0166

Explanation:
By dividing 16.6 ÷ 103 we will get
= 16.6 ÷ (10×10×10)
= 16.6 ÷ 1000
= 0.0166.

Question 46.
14.85 × 102
Estimate: _____
Quotient: _____
Estimate: 1490.
Quotient: 1,485

Explanation:
By multiplying 14.85 × 102 we will get
= 14.85 × 10 × 10
= 1,485.

Question 47.
1.256 × 104
Estimate: _____
Quotient: _____
Estimate: 12,600
Quotient: 12,560

Explanation:
By multiplying 1.256 × 104 we will get
= 1.256 × 10 × 10 × 10 × 10
= 12,560.

Question 48.
6.798 × 103
Estimate: _____
Quotient: _____
Estimate: 6,800.
Quotient: 6,798

Explanation:
By multiplying 6.798 × 103 we will get
= 6.798 × 10 × 10 × 10
= 6,798

Simplify and solve. Show your work.

Question 49.
(10 – 8)3 + (6 × 4) × (4 – 2) + 103 =
Simplify inside the parentheses: _____________
Simplify exponents: __________
Multiply: ____________
Add and subtract from left to right: _______
(10 – 8)3 + (6 × 4) × (4 – 2) + 103 = 1,056.

Explanation:
Given the expression is (10 – 8)3 + (6 × 4) × (4 – 2) + 103 by simplifying inside the parentheses we will get
= (2)3 + (24) × (2) + 103
= 8 + 24 × 2 + 1000
= 8 + 48 + 1000
= 1,056.

Question 50.
4{[2(2 + 5) + 2] – 9}
Simplify inside the parentheses: ____________
Simplify inside the brackets: ____________
Simplify inside the braces: _________
4{[2(2 + 5) + 2] – 9} = _______
4{[2(2 + 5) + 2] – 9} = 28.

Explanation:
Given the expression is 4{[2(2 + 5) + 2] – 9} by simplifying inside the parentheses we will get
= 4{[2(7) + 2] – 9}
= 4{[14 + 2] – 9}
= 4{[16] – 9}
= 4{16 – 9}
= 4{7}
= 28.

Question 51.
(4 × 7) ÷ 21 = _____

Explanation:
Given the expression is (4 × 7) ÷ 21  by simplifying inside the parentheses we will get

Question 52.
4 + (10 × 4) – 42 = _____
4 + (10 × 4) – 42 = 28.

Explanation:
Given the expression is 4 + (10 × 4) – 42 by simplifying inside the parentheses we will get
= 4 + (10 × 4) – 42
= 4 + (40) – 16
= 44 – 16
= 28.

Add or subtract. Give the answers in simplest terms. Change any improper fractions to mixed numbers.

Question 53.
$$\frac{1}{4}$$ + $$\frac{2}{4}$$ = _____
$$\frac{1}{4}$$ + $$\frac{2}{4}$$ = $$\frac{3}{4}$$.

Explanation:
The addition of $$\frac{1}{4}$$ + $$\frac{2}{4}$$ which is
= $$\frac{1+2}{4}$$
= $$\frac{3}{4}$$.

Question 54.
$$\frac{3}{8}$$ + $$\frac{4}{8}$$ = _____
$$\frac{3}{8}$$ + $$\frac{4}{8}$$ = $$\frac{7}{8}$$.

Explanation:
The addition of $$\frac{3}{8}$$ + $$\frac{4}{8}$$ which is
= $$\frac{3+4}{8}$$
= $$\frac{7}{8}$$.

Question 55.
$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = _____
$$\frac{5}{6}$$ – $$\frac{1}{6}$$ = $$\frac{2}{3}$$.

Explanation:
The subtraction of $$\frac{5}{6}$$ – $$\frac{1}{6}$$ which is
= $$\frac{5-1}{6}$$
= $$\frac{4}{6}$$
= $$\frac{2}{3}$$.

Question 56.
2$$\frac{1}{3}$$ + $$\frac{3}{4}$$ = _____
2$$\frac{1}{3}$$ + $$\frac{3}{4}$$ = $$\frac{37}{12}$$.

Explanation:
The addition of 2$$\frac{1}{3}$$ + $$\frac{3}{4}$$ which is
= $$\frac{7}{3}$$ + $$\frac{3}{4}$$
= $$\frac{28+9}{12}$$
= $$\frac{37}{12}$$.

Question 57.
$$\frac{5}{12}$$ + $$\frac{1}{8}$$ = _____
$$\frac{5}{12}$$ + $$\frac{1}{8}$$ = $$\frac{13}{24}$$.

Explanation:
The addition of $$\frac{5}{12}$$ + $$\frac{1}{8}$$ which is
= $$\frac{10+3}{24}$$
= $$\frac{13}{24}$$.

Question 58.
$$\frac{7}{9}$$ + $$\frac{11}{18}$$ = _____
$$\frac{7}{9}$$ + $$\frac{11}{18}$$ = $$\frac{25}{18}$$.

Explanation:
The addition of $$\frac{7}{9}$$ + $$\frac{11}{18}$$ which is
= $$\frac{14+11}{18}$$
= $$\frac{25}{18}$$.

Question 59.

1$$\frac{2}{7}$$ – $$\frac{1}{5}$$ = $$\frac{38}{35}$$.

Explanation:
The subtraction of 1$$\frac{2}{7}$$ – $$\frac{1}{5}$$ which is
= $$\frac{9}{7}$$ – $$\frac{1}{5}$$
= $$\frac{45-7}{35}$$
= $$\frac{38}{35}$$.

Question 60.

6$$\frac{1}{3}$$ + 3$$\frac{5}{6}$$ = $$\frac{61}{6}$$.

Explanation:
The addition of 6$$\frac{1}{3}$$ + 3$$\frac{5}{6}$$ which is
= $$\frac{19}{3}$$ + $$\frac{23}{6}$$
= $$\frac{38+23}{6}$$
= $$\frac{61}{6}$$.

Question 61.

7$$\frac{1}{5}$$ + 8$$\frac{1}{2}$$ = 15$$\frac{7}{10}$$.

Explanation:
The addition of 7$$\frac{1}{5}$$ + 8$$\frac{1}{2}$$ which is
= $$\frac{36}{5}$$ + $$\frac{17}{2}$$
= $$\frac{72+85}{10}$$
= $$\frac{157}{10}$$
= 15$$\frac{7}{10}$$.

Question 62.

9$$\frac{1}{2}$$ – 1$$\frac{2}{3}$$ = 7$$\frac{5}{6}$$.

Explanation:
The subtraction of 9$$\frac{1}{2}$$ – 1$$\frac{2}{3}$$ which is
= $$\frac{19}{2}$$ – $$\frac{5}{3}$$
= $$\frac{57-10}{6}$$
= $$\frac{47}{6}$$
= 7$$\frac{5}{6}$$.

Find the equivalent fraction.

Question 63.
equivalent to $$\frac{4}{6}$$, denominator 24 ____
$$\frac{16}{24}$$.

Explanation:
The equivalent fraction to $$\frac{4}{6}$$ as denominator 24 will be $$\frac{4}{6}$$ × $$\frac{4}{4}$$
= $$\frac{16}{24}$$.

Question 64.
equivalent to $$\frac{1}{2}$$, denominator 42 _____
$$\frac{21}{42}$$.

Explanation:
The equivalent fraction to $$\frac{1}{2}$$ as denominator 42 will be $$\frac{1}{2}$$ × $$\frac{21}{21}$$
= $$\frac{21}{42}$$.

Question 65.
equivalent to $$\frac{1}{3}$$, denominator 36 ______
$$\frac{12}{36}$$.

Explanation:
The equivalent fraction to $$\frac{1}{3}$$ as denominator 36 will be $$\frac{1}{3}$$ × $$\frac{12}{12}$$
= $$\frac{12}{36}$$.

Question 66.
equivalent to $$\frac{3}{8}$$, denominator 32 ____
$$\frac{12}{32}$$.

Explanation:
The equivalent fraction to $$\frac{3}{8}$$ as denominator 32 will be $$\frac{3}{8}$$ × $$\frac{4}{4}$$
= $$\frac{12}{32}$$.

Multiply.

Question 67.
16 × $$\frac{5}{8}$$ =________
16 × $$\frac{5}{8}$$ = 40.

Explanation:
The multiplication of 16 × $$\frac{5}{8}$$ is 2×5 = 40.

Question 68.
18 × $$\frac{2}{3}$$ =________
18 × $$\frac{2}{3}$$ = 12.

Explanation:
The multiplication of 18 × $$\frac{2}{3}$$ which is 6×2 = 12.

Question 69.
$$\frac{3}{10}$$ × $$\frac{4}{5}$$ =________
$$\frac{6}{25}$$.

Explanation:
The multiplication of $$\frac{3}{10}$$ × $$\frac{4}{5}$$ which is $$\frac{6}{25}$$.

Solve.

Question 70.
Some ferrets are about 18 inches long. A hamster is about $$\frac{1}{3}$$ as long. About how many inches long is a hamster?
The number of inches will be 17$$\frac{2}{3}$$ inches.

Explanation:
Given that ferrets are about 18 inches long and a hamster is about $$\frac{1}{3}$$ as long. So the number of inches will be 18 – $$\frac{1}{3}$$ which is
= $$\frac{54-1}{3}$$
= $$\frac{53}{3}$$
= 17$$\frac{2}{3}$$ inches.

Question 71.
$$\frac{1}{2}$$ of the photos on Delia’s digital camera are of friends and family members, $$\frac{1}{5}$$ of those photos are of her best friend Aiesha. What fraction of the total number of photos on Delia’s camera is of Aiesha?
The total number of photos on Delia’s camera is of Aiesha are $$\frac{7}{10}$$ photos.

Explanation:
Given that $$\frac{1}{2}$$ of the photos on Delia’s digital camera are of friends and family members and $$\frac{1}{5}$$ of those photos are of her best friend Aiesha. So the number of photos on Delia’s camera is of Aiesha are $$\frac{1}{2}$$ + $$\frac{1}{5}$$
= $$\frac{5+2}{10}$$
= $$\frac{7}{10}$$ photos.

Question 72.
A mother blue whale is 87$$\frac{2}{3}$$ feet long. Her baby is 22$$\frac{5}{8}$$ feet long. About how much longer is the mother than the baby? Use front-end estimation to estimate the difference.
The difference is 65$$\frac{1}{24}$$.

Explanation:
Given that a mother blue whale is 87$$\frac{2}{3}$$ feet long which is $$\frac{263}{3}$$ and her baby is 22$$\frac{5}{8}$$ feet long which is $$\frac{181}{8}$$. So the difference will be $$\frac{263}{3}$$ – $$\frac{181}{8}$$ which is
= $$\frac{2104-543}{24}$$
= $$\frac{1561}{24}$$
= 65$$\frac{1}{24}$$.

Multiply to find the area of each rectangle.

Question 73.
9 ft long × $$\frac{4}{5}$$ ft wide
area = ____________
Area = 7$$\frac{1}{5}$$ sq ft.

Explanation:
The area of the rectangle is L×W which is 9 ft × $$\frac{4}{5}$$ ft
= $$\frac{9×4}{5}$$ ft
= $$\frac{36}{5}$$ ft
= 7$$\frac{1}{5}$$ sq ft.

Question 74.
8 m long × $$\frac{1}{2}$$ m wide
area = ____________
Area = 4 sq m.

Explanation:
The area of the rectangle is L×W which is 8m × $$\frac{1}{2}$$m
= 4 sq m.

Find each quotient. Draw models to help. Use multiplication to check your answers.

Question 75.
$$\frac{1}{4}$$ ÷ 9 = _____
$$\frac{1}{4}$$ ÷ 9 = 0.027.

Explanation:
Given the expression is $$\frac{1}{4}$$ ÷ 9 which is
= $$\frac{1}{36}$$
= 0.027.

Question 76.
$$\frac{1}{2}$$ ÷ 5 = _____
$$\frac{1}{2}$$ ÷ 5 = 0.1.

Explanation:
Given the expression is $$\frac{1}{2}$$ ÷ 5 which is
= $$\frac{1}{10}$$
= 0.1

Question 77.
12 ÷ $$\frac{1}{8}$$ = _____
12 ÷ $$\frac{1}{8}$$ = 96.

Explanation:
Given the expression is 12 ÷ $$\frac{1}{8}$$ which is
= 12 ÷ $$\frac{1}{8}$$
= 12 × 8
= 96.

Solve.

Question 78.
A giraffe’s tongue is about 45 centimeters long. What is the length of a giraffe’s tongue in millimeters?
The length of a giraffe’s tongue in millimeters is 450 mm.

Explanation:
Given that the giraffe’s tongue is about 45 centimeters long, in millimeters, it will be 45 × 10 = 450mm.

Question 79.
Mrs. Jones is measuring the mass of 2 eggplants. One eggplant has a mass of 0.68 kilograms and the other has a mass of 0.45 kilograms. What is the difference of the masses of both eggplants in grams?
The difference is 0.23 grams.

Explanation:
Given that Mrs. Jones is measuring the mass of 2 eggplants and one eggplant has a mass of 0.68 kilograms and the other has a mass of 0.45 kilograms. So the difference in the masses of both eggplants in grams is 0.68 – 0.45 which is 0.23 grams.

Question 80.
A server pours mineral water from a 1 -liter bottle into a glass. After pouring, there are 0.3 liters left in the bottle. In milliliters, how much water did the server pour?
The server serves 700 ml of water.

Explanation:
Given that a server pours mineral water from a 1 -liter bottle into a glass and after pouring, there are 0.3 liters left in the bottle which is 1 – 0.3 which is 0.7 liters. As 1 liter is 1000 ml, so 0.7 liters will be 1000×0.7 = 700 ml.

Question 81.
Good hand washing involves using soap and clean, warm water for at least 20 seconds. If Sheng washes his hands 9 times each day, how many minutes does he spend washing his hands in 2 days?
The number of minutes will be 6 minutes.

Explanation:
Given that hand washing involves using soap and clean, warm water for at least 20 seconds. So if Sheng washes his hands 9 times each day number of minutes he spends washing his hands in 2 days will be 18 × 20 = 360 seconds which is 6 minutes.

Question 82.
The Tyrannosaurus Rex had a skull up to 5 feet long. An adult human’s skull is about 7 inches long. How many inches longer is a Tyrannosaurus Rex skull than a human skull?
The number of inches long will be 53 inches.

Explanation:
Given that the length of the Tyrannosaurus Rex skull is 5 feet long and an adult human’s skull is about 7 inches long. So 5 feet in inches will be 5×12 which is 60 inches long. So the number of inches long will be 60-7 which is 53 inches.

Count the cubes in each object. Write the total.

Question 83.

_______
5.

Explanation:
The number of cubes will be 5 for the given angle.

Question 84.

_______
24.

Explanation:
The number of cubes for a right angle is 24.

Question 85.

______
24.

Explanation:
The number of cubes for straight angles is 24.

Count the cubes in each object. Write the total.

Question 86.

____ cubes
8 cubes.

Explanation:
The number of cubes is 2 × 2 × 2 which is 8 cubes.

Question 87.

___ cubes
32 cubes.

Explanation:
The number of cubes is 4 × 4 × 2 which is 32 cubes.

Question 88.

___ cubes
12 cubes.

Explanation:
The number of cubes is 2 × 2 × 3 which is 12 cubes.

Classify each triangle as equilateral, scalene, or isosceles. Then classify each triangle as acute, obtuse, or right.

Question 89.

Equilateral triangle.

Explanation:
Given triangle is an equilateral triangle as each side is 60 degrees.

Question 90.

Isosceles triangle.

Explanation:
The given triangle is an isosceles triangle. As there are both two sides are equal and two angles are equal.

The heights of 6 ostriches are listed below. Complete the line plot to show this data set. Then use the line plot for Exercises 92 and 93.

Question 91.
Ostrich 1: 7$$\frac{1}{2}$$ ft Ostrich 2: 7$$\frac{3}{4}$$ ft Ostrich 3: 8 ft
Ostrich 4: 6 ft Ostrich 5: 7$$\frac{1}{2}$$ ft Ostrich 6: 7$$\frac{1}{2}$$ ft

Question 92.
How much taller is the tallest ostrich than the shortest ostrich?
_____________
The tallest ostrich is 2 ft.

Explanation:
The taller ostrich size is 8 ft and the shortest size is 6 ft. So the difference will be 8-6 which is 2 ft.

Question 93.
What is the combined height of the ostriches with the most common height?
The combined height of the ostriches with the most common height is 22 1/2 ft.

Explanation:
The combined height of the ostriches with the most common height is 7 1/2+7 1/2+7 1/2 which is 15/2 + 15/2 + 15/2
= (15+15+15)/2
= 45/2
= 22 1/2 ft.

Look at the grid. Write the ordered pair for each point.

Question 94.
A ____
(4,4).

Explanation:
The ordered pair of A is (4,4).

Question 95.
B _____
(1,1).

Explanation:
The ordered pair of B is (1,1).

Question 96.
C _____