Video: Finding the Part given a Whole and the Percentage and Then Rounding

What is 72.3% of 376 rounded to the nearest hundredth?

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Video Transcript

What is 72.3 percent of 376 rounded to the nearest hundredth?

In order to calculate any percentage of a number on a calculator, we firstly need to convert the percentage into either a fraction or a decimal. As the word ’percent’ means out of 100, we can convert from any percentage to a decimal by dividing by 100. When dividing by 100, all of our digits move two places to the right. This means that 72.3 divided by 100 is 0.723. The word ’of’ in mathematics means multiply, so we need to multiply 0.723 by 376.

Typing this into the calculator gives us 271.848. We were asked to round our answer to the nearest hundredth. This means to two decimal places. Therefore, the deciding number is the eight in the thousandths column. If the deciding number is greater than or equal to five, we round up. 271.848 to the nearest hundredth is 271.85. This means that 72.3 percent of 376 rounded to the nearest hundredth is 271.85.

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