Question

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

If the new number is less than the original number, the percent of change is a percent of increase.

Short answer

The given statement is false.

If the new number is less than the original number, the percent of change is a percent of decrease.

Step-by-step solution

Step 1. Given Statement.

If the new number is less than the original number, the percent of change is a percent of increase.

Step 2. Description of step.

According to the given information the new number is less than the original number. Thus the percent of change is calculated as percent of decrease not a percent of increase.

Step 3. Conclusion.

Thus, the given statement is false.

Therefore, if the new number is less than the original number, the percent of change is a percent of decrease.