Estimate Multi-Digit Products

Examples, solutions, videos and lessons to help Grade 5 students learn how to estimate multi-digit products by rounding factors to a basic fact and using place value patterns.

Common Core Standards: 5.NBT.1, 5.NBT.2, 5.OA.1

New York State Common Core Math Grade 5, Module 2, Lesson 2
Worksheets for Grade 5

Multiplying through Estimation

Lesson 2 Concept Development
Estimate
456 x 42 =
1320 x 88 =

4. Fill in the missing factors to find the given estimated product.
   a. 571 × 43 ≈ _____ × _____ = 24,000

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Lesson 2 Problem Set

1. Round the factors to estimate the products.
   a. 597 × 52 ≈ ×__ = ___
   A reasonable estimate for 597 × 52 is ___.
   b. 1,103 × 59 ≈ × = ___
   A reasonable estimate for 1,103 × 59 is ___.
   c. 5,840 × 25 ≈ × = ___
   A reasonable estimate for 5,840 × 25 is _____.
2. Complete the table using your understanding of place value and knowledge of rounding to estimate the product.
   a. 2,809 × 42
   b. 28,090 × 420
   c. 8,932 × 59
   d. 89 tens × 63 tens
   
   
3. Fill in the missing factors to find the given estimated product.
   a. 571 × 43 ≈ ×_ = 24,000
   b. 726 × 674 ≈ ×_ = 490,000
   
   Homework Hint:
   
4. Raphael wants to buy a new car.
   a. He needs a down payment of $3,000. If he saves $340 each month, about how many months will it take him to save the down payment?
   b. His new car payment will be $288 each month for five years. What is the total of these payments?

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Lesson 2 Homework
This video demonstrates how to estimate products by rounding the factors.

1. Round the factors to estimate the products.
   a. 697 × 82 ≈ ×__ = ___________
   A reasonable estimate for 697 × 82 is _________________.
   b. 5,897 × 67 ≈ _____________ × __________ = ___________
   A reasonable estimate for 5,897 × 67 is _________________.
2. Complete the table using your understanding of place value and knowledge of rounding to estimate the product.
   b. 82,290 × 240 =
3. The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Explain how you know. 8,146 × 12

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5. In a single season the New York Yankees sell an average of 42,362 tickets for each of their 81 home games. About how many tickets do they sell for an entire season of home games?

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