McGraw Hill Math

McGraw Hill Math Grade 7 Lesson 13.1 Answer Key Ratios

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McGraw-Hill Math Grade 7 Answer Key Lesson 13.1 Ratios

Exercises Compare

Question 1.
Jennifer is making a cake that requires 2 cups of flour and 1 cup of milk. What is the ratio of flour to milk?
Answer:
Jennifer is making a cake that requires 2 cups of flour and 1 cup of milk.
2 cups of flour/ 1 cup of milk
A cake that requires the ratio of flour to milk is 2:1 or 2/1.

Question 2.
At the movie theatre the manager wants to know which movie is selling the most tickets. He finds that movie A sold 150 tickets and movie B sold 100 tickets. What is the ratio of sales of movie A to movie B? Reduce your answer.
Answer:
At the movie theatre movie A sold 150 tickets and movie B sold 100 tickets.
Movie A/movie B = 150/100 = 3/2
The ratio of sales of movie A to movie B is 3:2 or 3/2.

Question 3.
Judy and Nancy have been swimming at the pool for one hour a day for the last month. Judy averages 25 laps every hour while Nancy averages 18. What is the ratio of Judy’s average to Nancy’s average?
Answer:
Judy averages 25 laps every hour.
Nancy averages 18 laps every hour.
25 laps/18 laps
The ratio of Judy’s average to Nancy’s average is 25:18 or 25/18.

Question 4.
Michael and Leon get ice cream cones, Michael orders chocolate chip and Leon orders yogurt chip. They each count the number of chocolate chips and yogurt chips that they eat until they finish. Michael had 32 and Leon 17. What is the ratio of yogurt chips to chocolate chips in the ice cream?
Answer:
Michael had 32 chocolate chips in the ice cream.
Leon had 17 yogurt chips in the ice cream.
The ratio of yogurt chips to chocolate chips in the ice cream is 17:32 or 17/32.

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McGraw Hill Math Grade 7 Lesson 12.5 Answer Key Estimating Decimal Quotients

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McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients

Exercises Estimate

Use the estimating method from Example 1 to complete questions 1-8.

Question 1.
313.2 ÷ 3.322 =
Answer:
313.2 ÷ 3.322 = 94.280.

Explanation:
The quoitent of 313.2 ÷ 3.322 is 94.280
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 1-1

Question 2.
10.71 ÷ 2.31 =
Answer:
10.71 ÷ 2.31 = 4.636.

Explanation:
The quoitent of 10.71 ÷ 2.31 is 4.636.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 2-1

Question 3.
33.3 ÷ 21.2 =
Answer:
33.3 ÷ 21.2 = 1.570.

Explanation:
The quoitent of 33.3 ÷ 21.2 is 1.570.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 3-1

Question 4.
33.67 ÷ .837 =
Answer:
33.67 ÷ .837 = 40.227.

Explanation:
The quoitent of 33.67 ÷ .837 is 40.227.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 4-1

Question 5.
631.23 ÷ 1.61 =
Answer:
631.23 ÷ 1.61 = 392.068.

Explanation:
The quoitent of 631.23 ÷ 1.61 is 392.068.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 5-1

Question 6.
2.87 ÷ 130 =
Answer:
2.87 ÷ 130 = 0.022.

Explanation:
The quoitent of 2.87 ÷ 130 is 0.022.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 6-1

Question 7.
7.3 ÷ 2.31 =
Answer:
7.3 ÷ 2.31 = 3.160.

Explanation:
The quoitent of 7.3 ÷ 2.31 is 3.160.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 7-1

Question 8.
111.131 ÷ 5.23 =
Answer:
111.131 ÷ 5.23 = 21.248.

Explanation:
The quoitent of 111.131 ÷ 5.23 is 21.248.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 8-1

Use the estimating method from Example 2 to complete questions 9-17.

Question 9.
13.7123 ÷ 4.38 =
Answer:
13.7123 ÷ 4.38 = 3.130.

Explanation:
The quoitent of 13.7123 ÷ 4.38 is 3.130.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 9-1

Question 10.
37.23 ÷ 8.12 =
Answer:
37.23 ÷ 8.12 = 4.585.

Explanation:
The quoitent of 37.23 ÷ 8.12 is 4.585.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 10-1

Question 11.
12.67 ÷ 1.86383 =
Answer:
12.67 ÷ 1.86383 = 6.797.

Explanation:
The quoitent of 12.67 ÷ 1.86383 is 6.797.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 11-1

Question 12.
211.111 ÷ 8.2311 =
Answer:
211.111 ÷ 8.2311 = 25.647.

Explanation:
The quoitent of 211.111 ÷ 8.2311 is 25.647.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 12-1

Question 13.
43.31 ÷ 2.30001 =
Answer:
43.31 ÷ 2.30001 = 18.830.

Explanation:
The quoitent of 43.31 ÷ 2.30001 is 18.830.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 13-1

Question 14.
71.36 ÷ 3.33 =
Answer:
71.36 ÷ 3.33 = 21.429.

Explanation:
The quoitent of 71.36 ÷ 3.33 is 21.429.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 14-1

Question 15.
66.2882 ÷ 10.101 =.
Answer:
66.2882 ÷ 10.101 = 6.562.

Explanation:
The quoitent of 66.2882 ÷ 10.101 is 6.562.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 15-1

Question 16.
87.23 ÷ 9.1101 =
Answer:
87.23 ÷ 9.1101 = 9.575.

Explanation:
The quoitent of 87.23 ÷ 9.1101 is 9.575.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 16-1

Question 17.
78.3 ÷ 4.20101 =
Answer:
78.3 ÷ 4.20101 = 18.638.

Explanation:
The quoitent of 78.3 ÷ 4.20101 is 18.638.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.5 Estimating Decimal Quotients 17-1

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McGraw Hill Math Grade 7 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers

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McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers

Exercises Divide

Round to the nearest ten-thousandth.

Question 1.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 1
Answer:
45.7÷5 = 9.14000.

Explanation:
The quotient of 45.7÷5 is 9.14000, so the nearest ten thousand will be 9.1400.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 1-1

Question 2.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 2
Answer:
29.34÷4 is 07.33500.

Explanation:
The quotient of 29.34÷4 is 07.33500, so the nearest ten thousand will be 07.3350.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 2-1

Question 3.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 3
Answer:
78.9÷11 is 07.17272.

Explanation:
The quotient of 78.9÷11 is 07.17272, so the nearest ten thousand will be 07.1727.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 3-1

Question 4.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 4
Answer:
41.8÷-7 is -5.97142.

Explanation:
The quotient of 41.8÷-7 is -5.97142, so the nearest ten thousand will be -5.9714.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 4-1

Question 5.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 5
Answer:
2.3÷2 is 1.15000.

Explanation:
The quotient of 2.3÷2 is 1.15000 so the nearest ten thousand will be 1.1500.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 5-1

Question 6.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 6
Answer:
456.2÷-3 = -152.06667.

Explanation:
The quotient of 456.2÷-3 is -152.06667, so the nearest ten thousand will be -152.0667.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 6-1

Question 7.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 7
Answer:
33.3÷7 is 04.75714.

Explanation:
The quotient of 33.3÷7 is 04.75714, so the nearest ten thousand will be 04.7571.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 7-1

Question 8.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 8
Answer:
89.34÷6 = 14.89000.

Explanation:
The quotient of 89.34÷6 is 14.89000, so the nearest ten thousand will be 14.8900.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 8-1

Question 9.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 9
Answer:
745.2÷14 = 053.22857.

Explanation:
The quotient of 745.2÷14 is 053.22857, so the nearest ten thousand will be 053.2286.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 9-1

Question 10.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 10
Answer:
41.9÷7 = 053.22857.

Explanation:
The quotient of 41.9÷7 is 053.22857, so the nearest ten thousand will be 053.2286.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 10-1

Question 11.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 11
Answer:
22.56÷18 =z 01.25333.

Explanation:
The quotient of 22.56÷18 is 01.25333, so the nearest ten thousand will be 01.2533.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 11-1

Question 12.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 12
Answer:
71.45÷-8 = -08.93125.

Explanation:
The quotient of 71.45÷-8 is -08.93125, so the nearest ten thousand will be -08.9313.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 12-1

Question 13.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 13
Answer:
963.5÷4 = 240.87500.

Explanation:
The quotient of 963.5÷4 is 240.87500, so the nearest ten thousand will be 240.8750.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 13-1

Question 14.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 14
Answer:
65.1÷9 = 07.23333.

Explanation:
The quotient of 65.1÷9 is 07.23333, so the nearest ten thousand will be 07.2333.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 14-1

Question 15.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 15
Answer:
964.5÷-50 = -19.29000.

Explanation:
The quotient of 964.5÷-50 is -19.29000, so the nearest ten thousand will be -019.2900.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 15-1

Question 16.
McGraw Hill Math Grade 7 Chapter 12 Lesson 12.1 Answer Key Dividing Decimals by Whole Numbers 16
Answer:
715.1÷75 = 009.53466.

Explanation:
The quotient of 715.1÷75 is 009.53466, so the nearest ten thousand will be 009.5347.
McGraw-Hill Math Grade 7 Answer Key Lesson 12.1 Dividing Decimals by Whole Numbers 16-1

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McGraw Hill Math Grade 7 Lesson 11.3 Answer Key Estimating Decimal Products

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McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products

Exercises Estimate

Question 1.
505.2 × -.322
Answer:
505.2 × -.322 = -162.6744.

Explanation:
The product of the decimals 505.2 × -.322 is -162.6744.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 1-1

Question 2.
10.71 × 2.31
Answer:
10.71 × 2.31 = 24.7401.

Explanation:
The product of the decimals 10.71 × 2.31 is 24.7401.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 2-1

Question 3.
55.5 × 21.2
Answer:
55.5 × 21.2 = 1176.60.

Explanation:
The product of the decimals 55.5 × 21.2 is 1176.60.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 3-1

Question 4.
35.67 × .437
Answer:
35.67 × .437 = 15.58779.

Explanation:
The product of the decimals 35.67 × .437 is 15.58779.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 4-1

Question 5.
631.23 × -1.61
Answer:
631.23 × -1.61 = -1016.2803.

Explanation:
The product of the decimals 631.23 × -1.61 is -1016.2803.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 5-1

Question 6.
2.87 × 950
Answer:
2.87 × 950 = 2726.50.

Explanation:
The product of the decimals 2.87 × 950 is 2726.50.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 6-1

Question 7.
7.3 × .51
Answer:
7.3 × .51 = 37.23.

Explanation:
The product of the decimals 7.3 × .51 is 37.23.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 7-1

Question 8.
111.159 × .23
Answer:
111.159 × .23 = 25.56657.

Explanation:
The product of the decimals 111.159 × .23 is 25.56657.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 8-1

Question 9.
81.453 × -1.8
Answer:
81.453 × -1.8 = -146.6154.

Explanation:
The product of the decimals 81.453 × -1.8 is -146.6154.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 9-1

Question 10.
245.459 × -.37
Answer:
245.459 × -.37 = -90.8193.

Explanation:
The product of the decimals 245.459 × -.37 is -90.8193.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 10-1

Question 11.
93.7123 × .54
Answer:
93.7123 × .54 = 50.604642.

Explanation:
The product of the decimals 93.7123 × .54 is 50.604642.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 11-1

Question 12.
37.25 × 4.12
Answer:
37.25 × 4.12 = 153.4700.

Explanation:
The product of the decimals 37.25 × 4.12 is 153.4700.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 12-1

Question 13.
12.67 × .96543
Answer:
12.67 × .96543 = 12.2319981.

Explanation:
The product of the decimals 12.67 × .96543 is 12.2319981.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 13-1

Question 14.
1.111 × -4.2519
Answer:
1.111 × -4.2519 = -4.7238609.

Explanation:
The product of the decimals 1.111 × -4.2519 is -4.7238609.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 14-1

Question 15.
5.51 × .50001
Answer:
5.51 × .50001 = 2.7550551.

Explanation:
The product of the decimals 5.51 × .50001 is 2.7550551.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.3 Estimating Decimal Products 15-1

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McGraw Hill Math Grade 7 Lesson 11.2 Answer Key Multiplying Money

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McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money

Exercises Multiply

Question 1.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 1
Answer:
$5.65×3.2 = $18.080.

Explanation:
The product of $5.65×3.2 is $18.080.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 1-1

Question 2.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 2
Answer:
8.4×$96.25 = $808.500.

Explanation:
The product of 8.4×$96.25 is $808.500.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 2-1

Question 3.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 3
Answer:
34.2×$2.25 is $76.950.

Explanation:
The product of 34.2×$2.25 is $76.950.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 3-1

Question 4.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 4
Answer:
$3.01×5.6 = $16.856.

Explanation:
The product of $3.01×5.6 is $16.856.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 4-1

Question 5.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 5
Answer:
6.3×$2.45 = $15.435.

Explanation:
The product of 6.3×$2.45 is $15.435.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 5-1

Question 6.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 6
Answer:
$5.57×0.15 = $0.8355.

Explanation:
The product of $5.57×0.15 is $0.8355.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 6-1

Question 7.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 7
Answer:
64.3×$7.88 = $506.684.

Explanation:
The product of 64.3×$7.88 is $506.684.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 7-1

Question 8.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 8
Answer:
$12.33×10.35 = $127.6155.

Explanation:
The product of $12.33×10.35 is $127.6155.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 8-1

Question 9.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 9
Answer:
$13.50×85.3 = $1151.550.

Explanation:
The product of $13.50×85.3 is $1151.550.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 9-1

Question 10.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 10
Answer:
$5.01×96.85 = $485.2185.

Explanation:
The product of $5.01×96.85 is $485.2185.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 10-1

Question 11.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 11
Answer:
$45.55×3.25 = $148.0375.

Explanation:
The product of $45.55×3.25 is $148.0375.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 11-1

Question 12.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 12
Answer:
$78.10×2.1 = $164.010.

Explanation:
The product of $78.10×2.1 is $164.010.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 12-1

Question 13.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 13
Answer:
$89.99×0.011 = $0.98989.

Explanation:
The product of $89.99×0.011 is $0.98989.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 13-1

Question 14.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 14
Answer:
$56.37×2.7 = $152.199.

Explanation:
The product of $56.37×2.7 is $152.199.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 14-1

Question 15.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 15
Answer:
$85.14×6.62 = $563.6268.

Explanation:
The product of $85.14×6.62 is $563.6268.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 15-1

Question 16.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.2 Answer Key Multiplying Money 16
Answer:
2.3×$9.63 = $22.149.

Explanation:
The product of 2.3×$9.63 is $22.149.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.2 Multiplying Money 16-1

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McGraw Hill Math Grade 8 Lesson 24.6 Answer Key Calculating Probabilities

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 24.6 Calculating Probabilities to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 24.6 Calculating Probabilities

Exercises
INTERPRET
Question 1.
If you place 14 marbles in a bag with 7 red, 4 orange, and 3 black, what is the probability of blindly pulling a red marble from the bag?
Answer:
Probability of blindly pulling a red marble from the bag = 0.5.

Explanation:
Total number of marbles in a bag = 14.
Number of red marbles = 7.
Number of orange marbles = 4.
Number of black marbles = 3.
Probability of blindly pulling a red marble from the bag = Number of red marbles ÷ Total number of marbles in a bag
= 7 ÷ 14
= 1 ÷ 2
= 0.5.

Question 2.
If there are 20 males and 15 females in your class, and the teacher wants to appoint one person to be in charge of attendance, what is the probability that this person will be a female?
Answer:
Probability that this person will be a female = 0.42.

Explanation:
Number of males in the class = 20.
Number of females in the class = 15.
Total number of students in the class = Number of males in the class + Number of females in the class
= 20 + 15
= 35.
Probability that this person will be a female = Number of females in the class ÷ Total number of students in the class
= 15 ÷ 35
= 3 ÷ 7
= 0.42.

Question 3.
A survey was taken at school and all 525 students were asked if they belonged to a club. 212 people responded that they did belong to a club. What is the probability that if you randomly chose a person walking down the hall, that this person would belong to a club?
Answer:
Probability that randomly chosen a person walking down the hall, that this person would belong to a club = 2.47.

Explanation:
Total number of students were asked if they belonged to a club in the school = 525.
Number of students responded that they did belong to a club = 212.
Probability that randomly chosen a person walking down the hall, that this person would belong to a club = Number of students responded that they did belong to a club ÷ Total number of students were asked if they belonged to a club in the school
= 525 ÷ 212
= 2.47.

Question 4.
Someone mistakenly put three boxes of hardboiled eggs in with the regular farm eggs that totaled 156 boxes. What is the probability that someone buying a box of eggs will get a box of hardboiled eggs?
Answer:
Probability that someone buying a box of eggs will get a box of hardboiled eggs = 52.

Explanation:
Total number of boxes of eggs = 156.
Number of boxes of hardboiled eggs mixed mistakenly with boxes of regular farm eggs = 3.
Probability that someone buying a box of eggs will get a box of hardboiled eggs = Number of boxes of hardboiled eggs mixed mistakenly with boxes of regular farm eggs  ÷ Total number of boxes of eggs
= 3 ÷ 156
= 52.

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McGraw Hill Math Grade 8 Lesson 24.5 Answer Key Venn Diagrams

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 24.5 Venn Diagrams to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 24.5 Venn Diagrams

Exercises
DIAGRAM
Question 1.
Ramon surveyed a group of 50 people at the town meeting about the expansion of the town zoo and the construction of a bike path. He found that of the 50 people he surveyed, 32 people supported expanding the zoo and 30 people supported constructing a bike path. Twelve people supported both projects. Fill in the Venn Diagram to represent the results of the survey.
McGraw Hill Math Grade 8 Lesson 24.5 Answer Key Venn Diagrams 1
How many people supported the town zoo only? ____________
How many supported the bike path only? _____________
Answer:
Number of people supported the town zoo only = 20.
Number of people supported the bike only = 18.
McGraw-Hill-Math-Grade-8-Answer-Key-Lesson-24.5-Venn-Diagrams-1

Explanation:
Total number of people he surveyed = 50.
Number of people supported expanding the zoo = 32.
Number of people supported constructing a bike path = 30.
Number of people supported both projects = 12.
Total number of people surveyed = Number of people supported expanding the zoo + Number of people supported constructing a bike path
= 32 + 30
= 62.
Number of people supported the town zoo only = Number of people supported expanding the zoo – Number of people supported expanding the zoo
= 32 – 12
= 20.
Number of people supported the bike only = Number of people supported constructing a bike path – Number of people supported both projects
= 30 – 12
= 18.

Question 2.
The manager of the local clothing store wants to know which jeans to stock for the upcoming back-to-school sale. He reviews the numbers from last year’s sale and finds that the store sold 120 pairs of jeans. 80 were boot- cut, and 60 were stone-washed. Assuming the store only stocked those two styles of jeans, how many of the jeans sold were both stone-washed and boot-cut?
McGraw Hill Math Grade 8 Lesson 24.5 Answer Key Venn Diagrams 2
How many of the jeans were just stone-washed and not boot-cut? _____________
How many were just boot-cut and not stone-washed? _____________
Complete the Venn Diagram to show the data.
Answer:
Number of people of the jeans were just stone-washed and not boot-cut = 60.
Number of people were just boot-cut and not stone-washed = 40.
McGraw-Hill-Math-Grade-8-Answer-Key-Lesson-24.5-Venn-Diagrams-2

Explanation:
Number of pairs of jeans the store sold = 120.
Number of pairs of jeans were boot- cut = 80.
Number of pairs of jeans were stone-washed = 60.
Total number of pairs of jeans were boot- cut and stone-washed = Number of pairs of jeans were boot- cut + Number of pairs of jeans were stone-washed
= 80 + 60
= 140.
Total number of pairs of jeans were both boot- cut and stone-washed = Total number of pairs of jeans were boot- cut and stone-washed – Number of pairs of jeans the store sold
= 140 – 120
= 20.
Number of people of the jeans were just stone-washed and not boot-cut = Number of pairs of jeans were boot- cut – Total number of pairs of jeans were both boot- cut and stone-washed
= 80 – 20
= 60.
Number of people were just boot-cut and not stone-washed = Number of pairs of jeans were stone-washed  – Total number of pairs of jeans were both boot- cut and stone-washed
= 60 – 20
= 40.

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McGraw Hill Math Grade 8 Lesson 24.4 Answer Key Tree Diagrams

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 24.4 Tree Diagrams to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 24.4 Tree Diagrams

Exercises
DIAGRAM
Question 1.
Phil first rolls a 6-sided number cube then flips a coin. Draw a tree diagram that shows all the possible outcomes. How many different outcomes are there? How many outcomes exist where Phil rolls an even number and he flips a coin “heads”?
Answer:
Total different outcomes = 12.
McGraw-Hill-Math-Grade-8-Answer-Key-Lesson-24.4-Tree-Diagrams-1
The coin is fair, the probabilities of getting a head and a tail are equal = 12 .
The probability of getting an even number on a die is 36 = 12 (because among 6 results there are 3 even numbers)

Explanation:
Phil first rolls a 6-sided number cube then flips a coin.
Number of outcomes of a cube Phil first rolls = 6.
Number of outcomes of a coin Phil second rolls = 2.
Total different outcomes = Number of outcomes of a cube Phil first rolls × Number of outcomes of a coin Phil second rolls
= 6 × 2
= 12.
The coin is fair, the probabilities of getting a head and a tail are equal = 12 .
The probability of getting an even number on a die is 36 = 12 (because among 6 results there are 3 even numbers)

.Question 2.
Felicia is laying out her wardrobe for an upcoming vacation. She will be gone 4 days. She lays out 4 shirts (blue, black, red, yellow), 3 pairs of pants (black, tan, white), and 3 pairs of shoes (black, brown, red). Draw a tree diagram to show all of the different combinations of outfits that Felicia could wear on the trip. How many combinations are there? ______________
If Felicia brings only two pairs of shoes but adds another shirt, how many possible combinations will she have? ________________
Answer:
Total outcomes of combinations she have = 40.
McGraw-Hill-Math-Grade-8-Answer-Key-Lesson-24.4-Tree-Diagrams-2

Explanation:
Number of days she will be gone = 4 .
Number of shirts she lays out = 4 (blue, black, red, yellow)
Number of pairs of pants = 3 (black, tan, white)
Number of pairs of shoes = 3 (black, brown, red).
Outcomes of wearing shirts = 4 × 4 = 16.
Outcomes of wearing pants = 4 × 3 = 12.
Outcomes of wearing shoes = 4 × 3 = 12.
Total outcomes of combinations she have = Outcomes of wearing shirts + Outcomes of wearing pants + Outcomes of wearing shoes
= 16 + 12 + 12
= 28 + 12
= 40.
If Felicia brings only two pairs of shoes but adds another shirt, how many possible combinations will she have?
Number of shoes she has = 2.
Number of shirts she has = 5.
Outcomes of wearing shirts = 4 × 5 = 20.
Outcomes of wearing pants = 4 × 3 = 12.
Outcomes of wearing shoes = 4 × 2 = 8.
Total outcomes of combinations she have = Outcomes of wearing shirts + Outcomes of wearing pants + Outcomes of wearing shoes
= 20 + 12 + 8
= 32 + 8
= 40.

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McGraw Hill Math Grade 8 Lesson 24.3 Answer Key Box-and-Whisker Plots

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 24.3 Box-and-Whisker Plots to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 24.3 Box-and-Whisker Plots

Exercises
INTERPRET
Question 1.
Give the lower quartile for the box-and whisker plot.
McGraw Hill Math Grade 8 Lesson 24.3 Answer Key Box-and-Whisker Plots 1
Answer:
Weight 70 is the lower quartile for the box-and whisker plot.

Explanation:
The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order.
Weight line data = 60, 70, 78, 82, 98.
=> The lower quartile for the box-and whisker plot = Weight 70.

Question 2.
What is the range for this box-and-whisker plot?
McGraw Hill Math Grade 8 Lesson 24.3 Answer Key Box-and-Whisker Plots 2
Answer:
The range for this box-and-whisker plot = 38.

Explanation:
The range of a box plot is the difference between the maximum and minimum value.
=> Highest value = 60.
Lowest value = 22.
Range of this box-and-whisker plot = Highest value – Lowest value
= 60 – 22
= 38.

Question 3.
Create a box-and whisker plot from this information.
McGraw Hill Math Grade 8 Lesson 24.3 Answer Key Box-and-Whisker Plots 3
Answer:
A box-and whisker plot from this information:
McGraw-Hill-Math-Grade-8-Answer-Key-Lesson-24.3-Box-and-Whisker-Plots-3

Explanation:
Median = 12.
Lower Quartile = 8.5.
Upper Quartile = 14.
Lower Extreme = 5.
Upper Extreme = 20.

Question 4.
What is the range and median of this box-and-whisker plot?
McGraw Hill Math Grade 8 Lesson 24.3 Answer Key Box-and-Whisker Plots 4
Range _____________
Median ____________
Answer:
Range = 40.
Median = 75.

Explanation:
Highest value = 90.
Lowest value = 50.
Range of this box-and-whisker plot = Highest value – Lowest value
= 90 – 50
= 40.
The median is the middle number in the data set.
Median of this box-and-whisker plot = 75.

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McGraw Hill Math Grade 7 Lesson 11.1 Answer Key Multiplying Decimals

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 11.1 Multiplying Decimals existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals

Exercises Multiply

Question 1.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 1
Answer:
32.5 × 0.5 = 16.25.

Explanation:
The product of 32.5 × 0.5 is 16.25.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 1-1

Question 2.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 2
Answer:
45.6×0.33 = 15.048.

Explanation:
The product of 45.6×0.33 is 15.048.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 2-1

Question 3.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 3
Answer:
-4.52×6.31 = -28.5212.

Explanation:
The product of -4.52×6.31 is -28.5212.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 3-1

Question 4.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 4
Answer:
789.3×6.8 = 5367.24.

Explanation:
The product of 789.3×6.8 is 5367.24.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 4-1

Question 5.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 5
Answer:
1.731×0.52 = 0.90012.

Explanation:
The product of 1.731×0.52 is 0.90012.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 5-1

Question 6.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 6
Answer:
10.01×1.01 = 10.1101.

Explanation:
The product of 10.01×1.01 is 10.1101.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 6-1

Question 7.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 7
Answer:
-89.89×23.23 = -2088.1447.

Explanation:
The product of -89.89×23.23 is -2088.1447.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 7-1

Question 8.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 8
Answer:
4.82×88.3 = 425.606.

Explanation:
The product of 4.82×88.3 is 425.606.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 8-1

Question 9.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 9
Answer:
-.333×.444 = -0.147852.

Explanation:
The product of -.333×.444 is -0.147852.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 9-1

Question 10.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 10
Answer:
5.5×77.76 = 427.680.

Explanation:
The product of 5.5×77.76 is 427.680.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 10-1

Question 11.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 11
Answer:
842.1×2.64 = 2223.144.

Explanation:
The product of 842.1×2.64 is 2223.144.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 11-1

Question 12.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 12
Answer:
63.4×36.5 = 2314.10.

Explanation:
The product of 63.4×36.5 is 2314.10.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 12-1

Question 13.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 13
Answer:
1.111×55.67 is 61.84937.

Explanation:
The product of 1.111×55.67 is 61.84937
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 13-1

Question 14.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 14
Answer:
51.02×3.91 = 199.4882.

Explanation:
The product of 51.02×3.91 is 199.4882.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 14-1

Question 15.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 15
Answer:
0.0098 × 0.0013 = 0.00001274.

Explanation:
The product of 0.0098 × 0.0013 is 0.00001274.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 15-1

Question 16.
McGraw Hill Math Grade 7 Chapter 11 Lesson 11.1 Answer Key Multiplying Decimals 16
Answer:
-8.5 × 2.3 = -19.55.

Explanation:
The product of -8.5 × 2.3 is -19.55.
McGraw-Hill Math Grade 7 Answer Key Lesson 11.1 Multiplying Decimals 16-1

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