what is 4.58 when approximated to the nearest hundredth
The Correct Answer and Explanation is:
Correct Answer: 4.58
To approximate a number to the nearest hundredth, we look at the digit in the thousandths place and decide whether to round up or leave the number as it is. The hundredths place is the second digit to the right of the decimal point. For the number 4.58, the digit in the hundredths place is 8. Since this number has only two digits after the decimal point, we are already at the hundredths place, and we need to check if any further rounding is necessary.
Let’s analyze further. In the number 4.58:
- The tenths place is 5
- The hundredths place is 8
- There is no digit in the thousandths place, which would be the third digit to the right of the decimal point
Since there is no digit following the hundredths place, there is nothing to influence the rounding. Therefore, there is no need to change any digit, and 4.58 is already in its rounded form to the nearest hundredth.
Rounding becomes necessary only when there are more than two decimal digits. For example, if the number had been 4.586, then the third decimal digit (6) would influence the rounding. In that case, since 6 is greater than or equal to 5, we would round up the hundredths digit from 8 to 9, and the result would be 4.59.
In this situation, with 4.58 having only two decimal digits, the number is already in the correct form when rounded to the nearest hundredth. No further adjustment is needed, and the number remains as it is.
Thus, when approximated to the nearest hundredth, 4.58 stays 4.58.
