A student erroneously multiplied a number by 2/5 instead of 5/2.What is the percentage error in the calculation?*1 point24547484

To find the percentage error, we first need to understand the mistake. The student multiplied by 2/5 instead of 5/2.

Step 1: Find the ratio of the correct operation to the incorrect one. This is (5/2) / (2/5) = 25/4.

Step 2: The percentage error is then the absolute difference between this ratio and 1 (since 1 would mean no error), divided by 1 (since we're finding the percentage of the error), times 100% to convert to a percentage.

So, the percentage error is |(25/4 - 1)| / 1 * 100% = 525%.

So, the student's error resulted in a calculation that was 525% off from the correct result.