What is 17.318 rounded to the nearest hundredth
A. 17.31
B. 17.32
C. 17.3
D. 17.4
The Correct Answer and Explanation is:
The correct answer is B. 17.32.
Explanation:
To round the number 17.318 to the nearest hundredth, we need to follow these steps:
- Identify the place value:
- In the number 17.318, the digit in the hundredths place is 1 (this is the second digit after the decimal point).
- The digit in the thousandths place, which comes after the hundredths place, is 8.
- Determine how to round:
- When rounding to the nearest hundredth, we look at the digit in the thousandths place (the third digit after the decimal point).
- If the digit in the thousandths place is 5 or greater, we round the digit in the hundredths place up by 1.
- If the digit in the thousandths place is less than 5, we leave the digit in the hundredths place unchanged.
- Apply the rule:
- In this case, the digit in the thousandths place is 8, which is greater than 5.
- Therefore, we round the digit in the hundredths place (which is 1) up by 1.
- Final result:
- The rounded value is 17.32. This is the correct value when 17.318 is rounded to the nearest hundredth.
Why not the other options?
- A. 17.31: This would be the result if the thousandths place was less than 5, but since the thousandths place is 8, we round up.
- C. 17.3: This would be the result if we were rounding to the nearest tenth, not hundredth.
- D. 17.4: This would result from rounding to the nearest tenth, but we are rounding to the nearest hundredth, so this is not applicable.
Thus, the correct rounded value of 17.318 to the nearest hundredth is 17.32, making the correct answer B.