Question

When you multiply a 4-digit number by a 2-digit number, what is the greatest number of digits the product can have? Explain.

a) The greatest 4-digit number is 9999. The greatest 2-digit number is 99. Their product is 989901, which has 6 digits. No other product of a 4-digit number and a 2-digit number could have more digits.
b) The greatest 5-digit number is 99999. The greatest 2-digit number is 99. Their product is 989901, which has 6 digits. No other product of a 4-digit number and a 2-digit number could have more digits.
c) Both a and b
d) none of the above

Answer 1

The greatest number of digits a product can have when you multiply a 4-digit number by a 2-digit number is 6 digits.

Step-by-step explanation:

The greatest number of digits a product can have when you multiply a 4-digit number by a 2-digit number is 6 digits.

To explain this, let's consider the largest 4-digit number, which is 9999, and the largest 2-digit number, which is 99. When we multiply these numbers, we get 989901, which has 6 digits.

No other product of a 4-digit number and a 2-digit number could have more digits than this.