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5th grade math · Unit 5: Multiplying and dividing decimals

Not always bigger, not always smaller

What this lesson shows

Fixes a mistake

20 × 0.5 = 10, smaller than 20. 20 ÷ 0.5 = 40, bigger: it counts the halves.

The worked example

The lesson works this one step by step: 20 × 0.5. Then your kid tries one like it on paper.

The steps

  1. Times less than 1: smaller
  2. Divided by less than 1: bigger
  3. Ask: more than 1, or less?

Helping at home

Times 0.5 takes half of the number, so it is smaller. Divided by 0.5 counts how many halves fit, so it is bigger. Ask first: is the number you multiply or divide by more than 1, or less?

If your kid gets stuck

Is the decimal less than 1? Then times shrinks and divided by grows.

Watch it with Lux

With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.

See how Lux works

Standards

  • Common Core 5.NBT.B.7
    Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Matches a standard in all 50 states and DCSee each state's code

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