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John multiplied a number by 32 instead of 23. Find percentage error in calculation.100%125%25%0.25%

Question

John multiplied a number by 32 instead of 23. Find percentage error in calculation.

  • 100%
  • 125%
  • 25%
  • 0.25%
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Solution

To find the percentage error in John's calculation, we first need to understand what percentage error is. Percentage error is the difference between the actual and the experimental value divided by the actual value, multiplied by 100%.

Here, the actual value is 23 (the number John should have multiplied by) and the experimental value is 32 (the number John actually multiplied by).

Step 1: Find the difference between the actual and experimental value. Difference = Experimental value - Actual value Difference = 32 - 23 = 9

Step 2: Divide the difference by the actual value. Error = Difference / Actual value Error = 9 / 23 = 0.3913 (rounded to four decimal places)

Step 3: Multiply the error by 100% to get the percentage error. Percentage Error = Error x 100% Percentage Error = 0.3913 x 100% = 39.13%

So, the percentage error in John's calculation is approximately 39.13%. This option is not given in your list.

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