A whole number when rounded to the nearest hundred is 700.What is the smallest possible value of this number?Use the number line below to help you.

1. Break Down the Problem

To determine the smallest possible whole number that rounds to 700 when rounded to the nearest hundred, we first need to identify the range of numbers that would round to 700.

2. Relevant Concepts

When rounding to the nearest hundred, if a number is less than halfway to the next hundred, it rounds down, and if it’s halfway or more, it rounds up. Therefore, to round to 700, the number must be at least halfway to 700 and less than halfway to 800.

3. Analysis and Detail

• The smallest number that rounds to 700 must be at least: $650 \quad (\text{since} \ 650 \ \text{rounds up to} \ 700)$
• The largest number that rounds to 700 must be: $749 \quad (\text{since} \ 750 \ \text{rounds up to} \ 800)$

Thus, the range of numbers that round to 700 is from 650 to 749.

4. Verify and Summarize

To verify, we can check:

• 650 rounds to 700
• Any number from 650 up to 749 will also round to 700.

Final Answer

The smallest possible value of the number that rounds to 700 is 650.