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Related Pages
Illustrative Math
Grade 6
Let’s multiply decimals.
Illustrative Math Unit 6.5, Lesson 8 (printable worksheets)
The following diagram shows how to use a product of whole numbers to find a product of decimals.
Evaluate mentally.
20 · 5
20 · (0.8)
20 · (0.04
20 · (5.84)
Scroll down the page for the solutions to the “Are you ready for more?” section.
a. 1 - 0.1 = 0.9
b. 1 - 0.1 + 10 - 0.01 = 0.9 + 9.99 = 10.89
c. 1 - 0.1 + 10 - 0.01 + 100 - 0.001 = 0.9 + 9.99 + 99.999 = 110.889
The value will keep increasing.
1 · 0.1 · 10 · 0.01 · 100 · 0.001 · 1000 ·…
= 1 · (0.1 · 10) · (0.01 · 100) · (0.001 · 1000) ·…
= 1 · (0.1 · 10) · (0.01 · 100) · (0.001 · 1000) ·…
= 1 · 1 · 1 · 1 · …. = 1
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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