my homework lesson 8 estimate products

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McGraw-Hill My Math Grade 5 Volume 1

Textbook: mcgraw-hill my math grade 5 volume 1 isbn: 9780021150243.

Use the table below to find videos, mobile apps, worksheets and lessons that supplement McGraw-Hill My Math Grade 5 Volume 1 book.

Chapter 1: Place Value

Lesson 1: place value through millions, lesson 2: compare and order whole numbers through millions, lesson 3: hands on: model fractions and decimals, lesson 4: represent decimals, lesson 5: hands on: understand place value, lesson 6: place value through thousandths, lesson 7: compare decimals, lesson 8: order whole numbers and decimals, chapter 2: multiply whole numbers, lesson 1: prime factorization, lesson 2: hands on: prime factorization patterns, lesson 3: powers and exponents, lesson 4: multiplication patterns, lesson 5: hands on: use partial products and the distributive property, lesson 6: the distributive property, lesson 7: estimate products, lesson 8: multiply by one-digit numbers, lesson 9: multiply by two-digit numbers, chapter 3: divide by a one-digit divisor, lesson 1: relate division to multiplication, lesson 2: hands on: division models, lesson 3: two-digit dividends, lesson 4: division patterns, lesson 5: estimate quotients, lesson 6: hands on: division models with greater numbers, lesson 7: hands on: distributive property and partial quotients, lesson 8: divide three- and four-digit dividends, lesson 9: place the first digit, lesson 10: quotients with zeros, lesson 11: hands on: use models to interpret the remainder, lesson 12: interpret the remainder, chapter 4: divide by a two-digit divisor, lesson 1: estimate quotients, lesson 2: hands on: divide using base-ten blocks, lesson 3: divide by a two-digit divisor, lesson 4: adjust quotients, lesson 5: divide greater numbers, chapter 5: add and subtract decimals, lesson 1: round decimals, lesson 2: estimate sums and differences, lesson 3: hands on: add decimals using base-ten blocks, lesson 4: hands on: add decimals using models, lesson 5: add decimals, lesson 6: addition properties, lesson 7: hands on: subtract decimals using base-ten blocks, lesson 8: hands on: subtract decimals using models, lesson 9: subtract decimals, chapter 6: multiply and divide decimals, lesson 1: estimate products of whole numbers and decimals, lesson 2: hands on: use models to multiply, lesson 3: multiply decimals by whole numbers, lesson 4: hands on: use models to multiply decimals, lesson 5: multiply decimals, lesson 6: multiply decimals by powers of ten, lesson 7: multiplication properties, lesson 8: estimate quotients of decimals, lesson 9: hands on: divide decimals, lesson 10: divide decimals by whole numbers, lesson 11: hands on: use models to divide decimals, lesson 12: divide decimals, lesson 13: divide decimals by powers of ten, chapter 7: expressions and patterns, lesson 1: hands on: numerical expressions, lesson 2: order of operations, lesson 3: write numerical expressions, lesson 4: hands on: generate patterns, lesson 5: patterns, lesson 6: ordered pairs, lesson 7: graph patterns.

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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.

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