Converting Decimals to Percents and Vice Versa

This lesson teaches how to convert decimals to percents and vice versa by understanding decimal naming. It explains rational numbers and their representation as decimals, fractions, and percents. The process involves naming the decimal, converting it to a fraction, and adjusting it to have 100 in the denominator before multiplying by 100%. The lesson also covers converting percents back to decimals by simplifying fractions. A problem-solving example is provided to identify non-equivalent percent representations.

What is the relationship between decimals, fractions, and percents?

• They are all whole numbers.

• They represent numbers divided into equal parts.

• They are only used in financial calculations.

• They are unrelated mathematical concepts.

How do you convert a decimal like 0.3 to a percent?

• Divide by 100.

• Multiply by 10.

• Write it as a fraction and adjust to 100 in the denominator.

• Add 100 to the decimal.

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

• Multiply the decimal by 100.

• Name the decimal.

• Convert it directly to a fraction.

• Add a percent sign to the decimal.

Which of the following is not equivalent to 40%?

• 0.4

• 0.04

• 40/100

• 2/5

How can you simplify the fraction 40/100?

• By dividing both numerator and denominator by 5.

• By multiplying both numerator and denominator by 2.

• By adding 10 to both numerator and denominator.

• By dividing both numerator and denominator by 10.