my homework lesson 2 estimate products of fractions

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McGraw Hill My Math Grade 5 Chapter 10 Lesson 2 Answer Key Estimate Products of Fractions

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 10 Lesson 2 Estimate Products of Fractions  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 10 Lesson 2 Estimate Products of Fractions

Math in My World

Helpful Hint \(\frac{1}{3}\) × 18 is the same as 18 ÷ 3.

Example 3 Estimate 7\(\frac{2}{7}\) × 3\(\frac{7}{8}\). Round each mixed number to the nearest whole number. Round 7\(\frac{2}{7}\) down to ____ and round 3\(\frac{7}{8}\) up to ____ 7\(\frac{2}{7}\) × 3\(\frac{7}{8}\) ≈ ____ × ____ ≈ ____ So, 7\(\frac{2}{7}\) × 3\(\frac{7}{8}\) is about ____ Answer: The above-given: 7 2/7 x 3 7/8 The given fractions are mixed fractions. 7 2/7 = 7 x 7/7 + 2/7 = 49/7 + 2/7 = 51/7 = 7.28 (the closest number is 7) 3 7/8 = 8 x 3/8 + 7/8 = 24/8 + 7/8 = 31/8 = 3.875 (the closest number is 4) So, we can write, 7 2/7 + 3 7/8 = 7 x 4 = 28 Therefore, 7\(\frac{2}{7}\) × 3\(\frac{7}{8}\) is about 28.

Talk Math Explain how you would estimate the product of \(\frac{4}{5}\) × \(\frac{5}{6}\). Answer: The above-given product: 4/5 x 5/6 The estimated value of 4/5 is 1 The estimated value of 5/6 is 1 Multiply the products. The product = 1 x 1 = 1. Therefore, the estimated product of \(\frac{4}{5}\) × \(\frac{5}{6}\) is 1.

Guided Practice

Independent Practice

Estimate each product. Draw a bar diagram if necessary.

Question 6. \(\frac{7}{8}\) × \(\frac{1}{9}\) Answer: The above-given: The estimated value of 7/8 = 0.875 (the closest value is 1) The estimated value of 1/9 = 0.11 (the closest value is 0) Now multiply both the estimated products. The product = 1 x 0 = 0 Therefore, the answer is 0.

Question 7. \(\frac{3}{5}\) × \(\frac{8}{9}\) Answer: The above-given: 3/5 x 8/9 Now we have to find out the estimated products. The estimated value of 3/5: 3/5 ≈ 2/4 = 1/2 The estimated value of 8/9 = 1 Now multiply both the products. The product = 1/2 x 1 = 1/2.

Question 6. \(\frac{1}{6}\) × \(\frac{5}{7}\) Answer: The above-given: 1/6 x 5/7 Now we have to find out the estimated products. The estimated value of 1/6 is 0. The estimated value of 5/7 is 1 Now multiply the products. The product: 1 x 0 = 0 Therefore, the estimated product of \(\frac{1}{6}\) × \(\frac{5}{7}\) is 0.

Question 7. \(\frac{1}{4}\) × \(\frac{8}{9}\) Answer: The above-given: 1/4 x 8/9 Now we have to find out the estimated products. The estimated value of 1/4 is 0 The estimated value of 8/9 is 1 Now multiply both the products The product = 0 x 1 = 0 Therefore, the estimated product of \(\frac{1}{4}\) × \(\frac{8}{9}\) is 0.

Question 8. \(\frac{1}{6}\) × \(\frac{5}{7}\) Answer: The above-given: 1/6 x 5/7 Now we have to find out the estimated products. The estimated value of 1/6 is 0. The estimated value of 5/7 is 1 Now multiply the products. The product: 1 x 0 = 0 Therefore, the estimated product of \(\frac{1}{6}\) × \(\frac{5}{7}\) is 0.

Question 9. \(\frac{1}{4}\) × \(\frac{8}{9}\) Answer: The above-given: 1/4 x 8/9 Now we have to find out the estimated products. The estimated value of 1/4 is 0 The estimated value of 8/9 is 1 Now multiply both the products The product = 0 x 1 = 0 Therefore, the estimated product of \(\frac{1}{4}\) × \(\frac{8}{9}\) is 0.

Question 10. 2\(\frac{2}{3}\) × 3\(\frac{1}{6}\) Answer: The above-given: 2 2/3 x 3 1/6 They are in mixed fractions, now convert them into proper fractions. 2 2/3 = 3 x 2/3 + 2/3 = 6/3 + 2/3 = 8/3. 3 1/6 = 6 x 3/6 + 1/6 = 18/6 + 1/6 = 19/6 The estimated value of 8/3 is 3 The estimated value of 19/6 is 3 Now multiply both the estimated values. The product = 3 x 3 = 9 Therefore, the estimated product of 2\(\frac{2}{3}\) × 3\(\frac{1}{6}\) is about 9.

Question 11. 6\(\frac{4}{5}\) × 5\(\frac{7}{8}\) Answer: The above-given: 6 4/5 x 5 7/8 They are in mixed fractions, now convert them into proper fractions. 6 4/5 = 5 x 6/5 + 4/5 = 30/5 + 4/5 = 34/5 5 7/8 = 8 x 5/8 + 7/8 = 40/8 + 7/8 = 47/8 Now we have to find out the estimated products. The estimated value of 34/5: 34/5 ≈ 35/5 = 7 The estimated value of 47/8 47/8 ≈ 48/8 = 6 Now multiply both the products. The product = 7 x 6 = 42. Therefore, the estimated product of 6\(\frac{4}{5}\) × 5\(\frac{7}{8}\) is about 42.

Question 12. 10\(\frac{1}{7}\) × 4\(\frac{4}{5}\) Answer: The above-given: 10 1/7 x 4 4/5 They are in mixed fractions, now convert them into proper fractions. 10 1/7 = 7 x 10/7 + 1/7 = 70/7 + 1/7 = 71/7 4 4/5 = 5 x 4/5 + 4/5 = 20/5 + 4/5 = 24/5 Now we have to find out the estimated products. The estimated value of 71/7 71/7 ≈ 70/7 = 10 The estimated value of 24/5 24/5 ≈ 25/5 = 5 Now multiply both the products. The product = 10 x 5 = 50 Therefore, the estimated product of 10\(\frac{1}{7}\) × 4\(\frac{4}{5}\) is about 50.

Question 13. 2\(\frac{6}{7}\) × 6\(\frac{2}{9}\) Answer: The above-given: 2 6/7 x 6 2/9 They are in mixed fractions, now convert them into proper fractions. 2 6/7 = 7 x 2/7 + 6/7 = 14/7 + 6/7 = 20/7 6 2/9 = 9 x 6/9 + 2/9 = 54/9 + 2/9 = 56/9 Now we have to find out the estimated products. The estimated value of 20/7 20/7 ≈ 18/6 = 3 The estimated value of 56/9 56/9 ≈ 60/10 = 6 Now multiply both the products. The product = 3 x 6 = 18 Therefore, the estimated product of 2\(\frac{6}{7}\) × 6\(\frac{2}{9}\) is about 18.

Problem Solving

Question 14. A cup of chocolate chips weighs about 9 ounces. A recipe calls for 3\(\frac{3}{4}\) cups of chocolate chips. About how many ounces of chocolate chips are needed? Answer: The above-given: The weight of a cup of chocolate chips = 9 The number of cups of chocolate chips a recipe calls = 3 3/4 = 15/4 The estimated value for 15/4: 15/4 ≈ 16/4 = 4. Now we need to find out the number of ounces of chocolate chips needed. Let it be C. C = 9 x 4 C = 36. Therefore, 36 ounces of chocolate chips are needed.

HOT Problems

Question 16. Mathematical PRACTICE 1 Make a Plan Write a real-world problem involving the multiplication of two mixed numbers whose product is about 14. Then solve the problem. Answer: Chelsie has 2 1/2 containers to put her special designer fabric that is 6 1/2 inches long. Chelsie currently has 2 copies. how many inches long is both fabric? Solving the equation: The equation: 2 1/2 x 6 1/2 = 14 2 1/2: it is in a mixed fraction, now convert it into a proper fraction. 2 1/2 = 2 x 2/2 + 1/2 = 4/2 + 1/2 = 5/2 6 1/2 = 2 x 6/2 + 1/2 = 12/2 + 1/2 = 13/2. The estimated value of 5/2: 5/2 ≈ 4/2 = 2 The estimated value of 13/2 13/2 ≈ 14/2 = 7 Now multiply both the products. The product = 2 x 7 = 14 Therefore, the answer is proved.

Question 17. ? Building on the Essential Question Explain when estimation would not be the best method for solving a problem. Answer: Even the most seasoned project management professionals can draft estimates that miss the mark. When they occur they’re usually off by just a little, though occasionally they’re off by miles. But because so much of the project management process relies on these estimates, even a minor flaw can have a large impact on the team’s ability to achieve success. – Finally, in projects, we cannot use estimations that lead to calculation errors and miscommunications about the information received from the external partner.

McGraw Hill My Math Grade 5 Chapter 10 Lesson 2 My Homework Answer Key

Question 2. \(\frac{7}{8}\) × \(\frac{5}{6}\) Answer: The above-given: 7/8 x 5/6 The estimated value of 7/8 is 1 The estimated value of 5/6 is 1 Now multiply both the estimated products. The product = 1 x 1 = 1 Therefore, the estimated product of \(\frac{7}{8}\) × \(\frac{5}{6}\) is about 1.

Question 3. 5\(\frac{1}{5}\) × 8\(\frac{5}{6}\) Answer: The above-given: 5 1/5 x 8 5/6 They are in mixed fractions, now convert them into proper fractions. 5 1/5 = 5 x 5/5 +1/5 = 25/5 + 1/5 = 26/5 8 5/6 = 6 x 8/6 + 5/6 = 48/6 + 5/6 = 53/6 Now we have to find out the estimated product. The estimated value of 26/5: 26/5 ≈ 25/5 = 5 The estimated value of 53/6: 53/6 ≈ 54/6 = 9 Now multiply both the estimated products The product = 5 x 9 = 45 Therefore, the estimated product of 5\(\frac{1}{5}\) × 8\(\frac{5}{6}\) is about 45.

Use the table to answer Exercises 4 and 5.

Question 5. If 100 students are surveyed, about how many students own 2 or more pets? Explain. Answer: The number of students surveyed = 100 The number of students who own 2 or more pets = P1 P1 = 9/20 x 100 P1 = 9 x 5 P1 = 45 Therefore, 45 student owns 2 or more pets.

Test Practice

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Homework Helper Lesson 2 Estimate Products of Fractions

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Explanation:

Cyrus is inviting 11 friends over for pizza. He would like to have enough pizza so each friend can have \(\frac{1}{4}\) of a pizza. About how many pizzas should he order?

Hakeem's front porch measures \( 9\frac{3}{4}\) feet by 4 feet. Estimate the area of his front porch.

Use Math Tools Refer to the graphic novel frame for Exercises a–b.

a. If each bag holds \(3\frac{3}{4}\) pounds, estimate how many pounds of birdseed Elisa, Luis, and Dwayne purchased.

b. Suppose each bag costs $14.99. Estimate the total cost of 5 bags.

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• Preparatory

Lesson Plan: Estimating Products of Fractions

This lesson plan includes the objectives and prerequisites of the lesson teaching students how to estimate products of fractions and mixed numbers by rounding them to the nearest whole or half.

Students will be able to

• estimate the product of proper fractions and mixed numbers by rounding to the nearest whole number,
• estimate the product of proper fractions and mixed numbers by rounding to the nearest half,
• solve word problems by estimating the product of fractions.

Prerequisites

Students should already be familiar with

• multiplying fractions,
• rounding fractions to the nearest whole or half.

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