To round the number 10.256 to the nearest hundredth, follow these steps:
1. Identify the hundredths place: In the number 10.256, the hundredths place is the second digit to the right of the decimal point. Here, it is the digit 5.
2. Look at the digit to the right of the hundredths place: This is the digit in the thousandths place, which is the third digit to the right of the decimal point. It is 6 in this number.
3. Determine whether to round up or down:
- If the digit in the thousandths place (6 in this case) is 5 or greater, you round the digit in the hundredths place up by one.
- If it is less than 5, you leave the digit in the hundredths place as is.
Since the digit in the thousandths place (6) is greater than or equal to 5, you round up the digit in the hundredths place (5) by one.
4. Final result: The digit 5 in the hundredths place becomes 6. Thus, 10.256 rounded to the nearest hundredth is 10.26.