Converting Numbers: Decimals, Percents, and Fractions

The video tutorial explains how to convert the fraction 7/8 into a decimal and a percent. It begins by demonstrating the long division process to find the decimal equivalent, 0.875. The tutorial then shows how to convert this decimal into a percent by shifting the decimal point two places to the right, resulting in 87.5%. The explanation includes reasoning behind the conversion methods and tips to avoid confusion.

What is the first step in converting 7/8 into a decimal?

• Divide 7 by 8

• Divide 8 by 7

• Multiply 7 by 8

• Subtract 7 from 8

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When performing long division for 7/8, what do you do after bringing down the first zero?

• Multiply by 8

• Subtract 8

• Divide 70 by 8

• Add 8

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What is the decimal representation of 7/8?

• 0.758

• 0.857

• 0.785

• 0.875

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How do you convert a decimal to a percent?

• Shift the decimal place one to the left

• Shift the decimal place two to the right

• Multiply by 10

• Divide by 100

What is 0.875 as a percent?

• 0.875%

• 875%

• 87.5%

• 8.75%

Why does shifting the decimal point two places to the right convert a decimal to a percent?

• It divides the number by 10

• It divides the number by 100

• It multiplies the number by 10

• It multiplies the number by 100

What is another way to express 0.875 as a fraction?

• None of the above

• Both A and B

• 87.5/100

• 875/1000

What is the relationship between the decimal and percent representation of a number?

• The decimal is 10 times smaller

• The percent is 100 times smaller

• The percent is 10 times smaller

• The decimal is 100 times smaller

What is a quick way to remember the conversion from decimal to percent?

• Divide by 10

• Shift the decimal to the left

• Multiply by 10

• Shift the decimal to the right

What is the decimal representation of 87.5%?

• 0.0875

• 0.875

• 87.5

• 8.75