Answered

A line segment has length 10 inches. If the length of the segment is decreased by 10% and then increased by 10%, what would be the length of the new resulting line segment?



Answer :

Heather

Answer: 9.9 inches

Step-by-step explanation:

First, we will decrease the length of the line segment by 10%. To do this, we will multiply the original length by 90% (100% - 10% = 90%).

    10 * 90% = 10 * 0.9 = 9 inches

Next, we will increase this line segment again by 10%. To do this, we will multiply the new length by 110% (100% + 10% = 110%).

    9 * 110% = 9 * 1.1 = 9.9 inches

The new length will be 9.9 inches. You may assume that, "Well, 10% - 10% = 0, so there will be no change", but since you are increasing based on the already decreased segment, it is not proportional resulting in a different line segment length.

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