To round the number 0.917 to the nearest hundredth, follow these steps:
1. Identify the place of the digit to be rounded:
- The hundredth place is the second digit to the right of the decimal point. In 0.917, this is the digit `1`.
2. Look at the next digit:
- The next digit after the hundredth place is the thousandth place. In 0.917, this is the digit `7`.
3. Determine whether to round up or down:
- If the digit in the thousandth place is 5 or greater, increase the digit in the hundredth place by one.
- If the digit in the thousandth place is less than 5, leave the digit in the hundredth place unchanged.
4. Apply the rules:
- In 0.917, the digit in the thousandth place (`7`) is greater than `5`, so we round up the digit in the hundredth place (`1`).
5. Perform the rounding:
- Increase the digit `1` to `2`.
So, when you round 0.917 to the nearest hundredth, you get:
[tex]\[ 0.92 \][/tex]
The rounded value of 0.917 to the nearest hundredth is 0.92.
