LESSON 10 Strategies for Multiplying Decimals

A gardener filled 3 buckets of water. Each bucket contained 4.5 liters of water.

  1. Work with a partner to find how much water the gardener had.

Patterns in Problems

  1. Solve. Look for patterns.
    1. 36 1 =
    2. 36 10 =
    3. 36 100 =
    4. 36 1000 =
    5. 36 10,000 =
    1. Explain a rule for multiplying numbers by multiples of 10.
    2. Why does this rule work?
  2. Estimate the products. Solve. Use a calculator to check your answers. Look for patterns.
    1. 3.6 1 =
    2. 3.6 10 =
    3. 3.6 100 =
    4. 3.6 1000 =
    5. 3.6 10,000 =
    1. What happens to the decimal point when you multiply a decimal by a ten?
    2. Explain a rule for multiplying decimals by multiples of 10.