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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
Special materials needed: