Weston used the steps below to determine the percent equivalent to StartFraction 1 Over 40 EndFraction.

Question

Step 1: mc013-2.jpg

Step 2: StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. StartFraction 1 Over 40 EndFraction = StartFraction question mark Over 100 EndFraction. Multiply both sides by 2.5.

Step 3: 1 times 2.5 = 2.5

Step 4: StartFraction 2.5 Over 100 EndFraction = 25%

What was Weston’s error?
In Step 2, the second fraction should have been out of a multiple of 40.
In Step 2, the multiplication relationship shown should have been division.
In Step 4, the decimal should not have been moved.
In Step 4, the decimal should have been moved two places instead of one.

Answer 1

Weston's error lies in Step 4. The calculation of converting \(\frac{2.5}{100}\) to a percentage is incorrect because he moved the decimal point only once instead of two places.

The correct progression should be:

1. Start with \(\frac{2.5}{100}\).
2. To convert \(\frac{2.5}{100}\) to a percentage, you move the decimal point two places to the right, resulting in \(2.5%\), not \(25%\).

Therefore, the correct option that identifies Weston's error is:

In Step 4, the decimal should have been moved two places instead of one.