Correct the Decimal Point
Focus: Multiplying Decimals by 10, 100, and 1000. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.
Teaching Notes
Focus: Multiplying Decimals by 10, 100, and 1000. Use the worked example and teaching sequence below to explain the reasoning before independent practice.
Before You Begin
- Understand decimal place value.
Teaching Steps for Parents and Teachers
- For an error-correction problem, find the first incorrect step. Explain why it is wrong, then recompute all later steps.
- Multiplying by 10 makes each digit worth 10 times as much.
- Dividing by 10 makes each digit worth one tenth as much.
- Repeat for 100 or 1,000 and use zeros to hold places when needed.
Worked Examples
3.47 × 100
- Multiplying by 10 gives 34.7.
- Multiplying by 10 again gives 347.
Answer: 347
Common Mistakes and How to Help
The operation changes each digit’s place value, not the order of the digits.
Divide 347 by 100 to recover 3.47.
Questions to Check Understanding
- Divide 347 by 100 to recover 3.47.
- Which step explains your answer?
- Can you apply the same reasoning when the numbers change?
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.