Write five decimals that round to 0.96
The correct answer and explanation is:
To provide five decimals that round to 0.96, we need to focus on numbers where the third decimal place is either 5 or higher (which would round up) or less than 5 (which would round down). When rounding to the nearest hundredth, the third decimal place dictates whether the number rounds up or stays the same.
Here are five examples:
- 0.955
- 0.956
- 0.957
- 0.965
- 0.964
Explanation:
When rounding a decimal number to the nearest hundredth, we examine the digit in the thousandths place (the third decimal). If the digit in the thousandths place is 5 or greater, the number rounds up, and if it’s less than 5, it rounds down.
In this case, all the numbers provided round to 0.96 because their third decimal places meet the rule for rounding. For example:
- 0.955 rounds up to 0.96 since the digit in the thousandths place is 5.
- 0.956 rounds up to 0.96 because the thousandths place has a 6, which is greater than 5.
- 0.957 rounds up similarly, as the thousandths place has a 7.
- 0.965 rounds up to 0.96 because 5 in the thousandths place makes it round up.
- 0.964 rounds to 0.96 because the 4 in the thousandths place is less than 5, but rounding to the nearest hundredth, it stays at 0.96.
By understanding this rounding rule, you can determine any decimal number that rounds to 0.96 when rounded to two decimal places.