Use Denominators 10, 100, 1000

Teaching Notes

Focus: Fractions as Decimals: Denominators of 10, 100, or 1000. Use the worked example and teaching sequence below to explain the reasoning before independent practice.

Before You Begin

• Know powers of 10.

Teaching Steps for Parents and Teachers

1. Identify whether the denominator is 10, 100, or 1,000.
2. Use one, two, or three decimal places respectively.
3. Write the numerator in those places, using leading decimal zeros when needed.

Worked Examples

Write 25/100 as a decimal.

1. The denominator 100 names hundredths.
2. 25 hundredths is 2 tenths and 5 hundredths.

Answer: 0.25

Common Mistakes and How to Help

The denominator determines the decimal place, not the number of digits in the numerator.

For example, 5/100 = 0.05, while 5/10 = 0.5.

Questions to Check Understanding

• What place does the denominator name?
• How can you check that the fraction and decimal are equivalent?

Practice Advice

Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.

Next Practice

• Use New Numbers to practice the same skill with different values.
• If the learner needs help, return to the example and model each step before trying again.