5.NBT.5: Multiplying Multi-Digit Numbers

I can fluently multiply multi-digit whole numbers using the standard algorithm.

Problem 1

A factory produces 1,247 widgets per day. How many widgets will it produce in 365 days?
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Problem 2

If a school has 1,456 students and each student needs 23 pencils for the year, how many pencils are needed total?
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Problem 3

Create and solve a real-world problem that requires multiplying a 4-digit number by a 2-digit number.
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Problem 4

Explain why the standard algorithm for multiplication works. Use an example to support your explanation.
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Problem 5

Compare different methods for solving 456 × 78. Which is most efficient and why?
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Problem 6

A rectangular garden is 1,234 feet long and 567 feet wide. What is its area?
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Problem 7

Design a multiplication problem where the product has exactly 6 digits.
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Problem 8

If 1,789 × 456 = 815,784, use this to find 1,789 × 457 without recalculating completely.
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Problem 9

Create a word problem involving multiplication that has multiple steps to solve.
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Problem 10

Analyze the pattern in products when multiplying by numbers ending in 5.
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