Sara is thinking of a number. When she rounds her number to the nearest hundred, she gets700. What is the greatest number Sara can be thinking of? Explain.

749

Thank you Ms. Sue

You're welcome, Bryce.

To find the greatest number Sara can be thinking of, we need to understand how rounding works.

When rounding a number to the nearest hundred, we look at the tens digit of the original number. If the tens digit is 5 or greater, we round up to the next hundred. If the tens digit is less than 5, we round down to the previous hundred.

In this case, Sara rounds her number to 700 which means her original number is somewhere between 650 and 749 (since rounding down would give a number less than 700, and rounding up would give a number greater than 700).

To find the greatest number Sara can be thinking of, we need to find the largest number between 650 and 749 that rounds to 700 when rounded to the nearest hundred.

The greatest number in the range that rounds to 700 would be a number with a tens digit of 4 and a ones digit of 9. So, the greatest number Sara can be thinking of is 749.