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Model and Multiply
You can think of decimals as fractions with denominators of 10, 100, 1000, and so on.
or 0.1
or 0.25
or 0.052
= or 0.4
Since decimal numbers are fractions, you can use what you know about multiplying fractions to help you think about multiplying decimals.
- This grid shows or 0.1. This grid shows 3 0.1.
- Is 3 0.1 greater than or less than 3?
- Describe how the decimal moves from its place in 3 to its place in 0.3 when you multiply
3 0.1. - How many times smaller is 0.3 than 3?
- This grid shows or 0.1. This grid shows 3 0.01.
- Is 3 0.01 greater than or less than 3?
- Describe how the decimal moves from its place in 3 to its place in 0.03 when you multiply
3 0.01. - How many times smaller is 0.03 than 3?