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[tex]\bf{Answer:}[/tex]

=8.3%

Step-by-step explanation:

To find the overall change in the number as a percentage, we can calculate it by multiplying the individual percentage changes.

First, the number is increased by 2%, which means it becomes 102% of the original number.

Then, the resulting number is decreased by 10%, which means it becomes 90% of the increased number.

To find the overall change, we multiply 102% by 90%:

102% * 90% = 91.8%

Therefore, the overall change in the number is a decrease of 8.2%.

Answer:

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To find the overall change in a number when it is first increased by a certain percentage and then decreased by another percentage, you can use the following formula:

Overall Change Percentage = [(1 + First Percentage) * (1 - Second Percentage) - 1] * 100%

In this case, the first percentage is an increase of 2% (0.02) and the second percentage is a decrease of 10% (0.10). Plug these values into the formula:

Overall Change Percentage = [(1 + 0.02) * (1 - 0.10) - 1] * 100%

Now, calculate it:

Overall Change Percentage = [(1.02) * (0.90) - 1] * 100%

Overall Change Percentage = [0.918 - 1] * 100%

Overall Change Percentage = (-0.082) * 100%

Overall Change Percentage = -8.2%

So, the overall change in the number is a decrease of 8.2%.