Homework

Illustrative
Mathematics
6.NS Tenths of (and So On)
Task
Since 0.1
=
1
, when we multiply by 0.1, we are multiplying by one-tenth.
10
a. Multiply:
0.1 × 100
0.1 × 10
0.1 × 1
0.1 × 0.1
0.1 × 0.01
0.1 × 0.001
b. Describe the patterns you see in the products above.
Similarly, since 0.01
hundredth.
=
1
, when we multiply by 0.01, we are multiplying by one100
c. Multiply:
0.01 × 100
0.01 × 10
0.01 × 1
0.01 × 0.1
0.01 × 0.01
0.01 × 0.001
d. Describe the patterns you see in the products above.
1

Illustrative
Mathematics
Based only on the patterns above, what do you expect 0.0001 × 0.00001 to be?
Explain why that must be true by thinking of these decimals as fractions.
6.NS Tenths of (and So On)
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2

Based on the patterns above I think that the answer will be 0.00010 because when you go up a place value you move the decimal one place to the right and then that would result in the answer being 0.00010.