# 9. Practice shifting the positions of the digits in a number when multiplying and dividing by 10 (FP)

teaches Common Core State Standards CCSS.Math.Content.5.NBT.A.2 http://corestandards.org/Math/Content/5/NBT/A/2
teaches Common Core State Standards CCSS.Math.Practice.MP1 http://corestandards.org/Math/Practice/MP1
teaches Common Core State Standards CCSS.Math.Practice.MP6 http://corestandards.org/Math/Practice/MP6

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Lesson objective: Shift the position of the digits within the place value system when multiplying and dividing a number by 10.

This lesson helps to build procedural skill with multiplication and division of a number by the powers of 10. Place value chart is used here because it highlights the relationship between the digits within a number. This work develops students' understanding that multiplying a number by 10 shifts the position of its digits one place to the left, and dividing a number by 10 shifts the position of its digits one place to the right.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they practice shifting the digits within a number to the left when multiplying by the powers of 10 and to the right when they are dividing by the powers of 10.

Key vocabulary:

• decimal

• digit

• expanded notation

• hundredths

• tenths

• thousandths

• value of a digit

Special materials needed:

• place value chart
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