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Mental Math Grade 6 Teacher's Guide

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d) For, 0.4 × 0.01, think, “The 4 tenths will decrease two places to 4<br />

thousandths, therefore the answer is 0.004.”<br />

e) For 5 × 0.001, think, “The 5 ones will decrease three places to 5<br />

thousandths; so, the answer is 0.005.”<br />

Practice Items<br />

6 × 0.1 = 8 × 0.1 = 3 × 0.1 =<br />

9 × 0.1 = 1 × 0.1 = 12 × 0.1 =<br />

72 × 0.1 = 136 × 0.1 = 406 × 0.1 =<br />

0.7 × 0.1 = 0.5 × 0.1 = 0.1 × 10 =<br />

1.6 × 0.1 = 0.1 × 84 = 0.1 × 3.2 =<br />

6 × 0.01 = 8 × 0.01 = 1.2 × 0.01 =<br />

0.5 × 0.01 = 0.4 × 0.01 = 0.7 × 0.01 =<br />

2.3 × 0.01 = 3.9 × 0.01 = 10 × 0.01 =<br />

100 × 0.01 = 330 × 0.01 = 46 × 0.01 =<br />

3 × 0.001 = 7 × 0.001 = 80 × 0.001 =<br />

21 × 0.001 = 45 × 0.001 = 12 × 0.001 =<br />

62 × 0.001 = 9 × 0.001 = 75 × 0.001 =<br />

4mm =_____m 9mm = _____m 6m = ______km<br />

Add your own practice items<br />

• Dividing by 0.1, 0.01and 0.001 Using a Place-Value-Change<br />

Strategy (New)<br />

All the place values of the number being<br />

divided increase one place when dividing by<br />

0.1, two places when dividing by 0.01 and three<br />

places when dividing by 0.001.<br />

By exploring the patterns that result when numbers are divided by decimal<br />

tenths, hundredths and thousandths, students will see that all the place<br />

values of the number being divided increase one place when dividing by 0.1,<br />

two places when dividing by 0.01 and three places when dividing by 0.001.<br />

40 <strong>Mental</strong> <strong>Math</strong> – <strong>Grade</strong> 6

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