Multiplication of 4-Digit by 2-Digit Numbers

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WondrousHeliodor
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4 Questions

What is the result of multiplying a 4-digit number by a 2-digit number?

A 6-digit number

What is the minimum number of digits in the product of a 4-digit number multiplied by a 2-digit number?

5 digits

What is the maximum number of digits in the product of a 4-digit number multiplied by a 2-digit number?

8 digits

If you multiply a 4-digit number by a 2-digit number and get a 7-digit product, what could be the range of the 4-digit number?

1000 to 9999

Study Notes

Multiplication of 4-Digit and 2-Digit Numbers

  • The result of multiplying a 4-digit number by a 2-digit number can vary in terms of the number of digits in the product.
  • The minimum number of digits in the product is 5 digits (e.g., 1000 × 10 = 10,000).
  • The maximum number of digits in the product is 6 digits (e.g., 9999 × 99 = 989,901).
  • If the product has 7 digits, the 4-digit number should be between 1000 and 9999, and the 2-digit number should be at least 70 (e.g., 1000 × 70 = 70,000 or 9999 × 71 = 70,989).

Test your understanding of multiplying a 4-digit number by a 2-digit number. Explore the minimum and maximum number of digits in the product, and analyze the range of the 4-digit number if the product is 7-digit.

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