Understanding Conversions: Fractions, Decimals, and Percents

The video tutorial explains how to convert between fractions, decimals, and percents. It covers the basic concepts that a fraction bar means division and a percent is a number compared to 100. The tutorial demonstrates converting a fraction to a decimal and percent, a decimal to a fraction and percent, and a percent to a fraction and decimal. It also provides formal rules for these conversions, emphasizing understanding over memorization.

What does a fraction bar represent in mathematical operations?

• Division

• Multiplication

• Subtraction

• Addition

How is a repeating decimal indicated when converting a fraction to a decimal?

• By placing a bar over the repeating digit

• By writing the digit in bold

• By using parentheses around the digit

• By underlining the repeating digit

What is the first step in converting a fraction to a percent?

• Add 100 to the numerator

• Multiply the fraction by 10

• Convert the fraction to a decimal

• Express the fraction with a denominator of 100

When converting a decimal to a fraction, what must be done if the fraction has a decimal in the numerator?

• Add 1 to the numerator

• Multiply the numerator and denominator by 10

• Subtract 1 from the denominator

• Divide the numerator by 10

How do you simplify a fraction after converting a decimal to a fraction?

• Add the numerator and denominator

• Multiply the numerator and denominator by 2

• Divide both by their greatest common factor

• Subtract the numerator from the denominator

What is the fraction form of 0.004?

• 1/100

• 2/500

• 1/250

• 4/1000

What is the shortcut for converting a percent to a decimal?

• Move the decimal point two places to the left

• Move the decimal point two places to the right

• Subtract 100 from the number

• Add two zeros to the number

What is the decimal equivalent of 108.2%?

• 0.1082

• 1.082

• 10.82

• 1082

What is the first step in converting a percent to a fraction?

• Add 100 to the percent

• Convert the percent to a decimal

• Multiply the percent by 10

• Express the percent as a fraction over 100

What is the simplified fraction form of 1082/1000?

• 541/1000

• 108/10

• 1082/100

• 541/500