### Powers of Ten

#### Multiply/Divide by Whole Number Exponent

Learning with Our Bodies

Base Ten Place Value System (clap and show 10 finger)
Nine digits: 0,1,2,3,4,5,6,7,8,9 (use fingers to show digits)
Make all numbers to infinity great and infinity small (stretch out horizontally with both arms)
To the Right , decrease (stretch out right arm in diagonal going down)
To the Left, increase (stretch out left arm in diagonal going up)
The decimal point separates whole numbers and parts

X10 or 10 to the first power increase by one place (show 10 fingers, both arms go up)
X100 or 10 squared increase by two places (show 10 X 10 fingers, both arms go up to the left diagonal twice)
X1000 or 10 to the third power, increase by three places and so on. (show 10 X 10 X 10, both arms go up to left diagonal three times)

Divide by 10 or X 1/10 decrease by one place (10 fingers down, arms go down right diagonal)
Divide by 100, 10 squared or X 1/100 decrease by two places (10 X 10, " two times)
Divide by 1000, 10 to the third power or 1/1000 decrease by three places (10 X 10 X 10 three times ")

Multiply by Whole Number (positive) Exponents
Move Left with the Number -- moves places equal to the exponent
Right with the Decimal -- move places equal to the exponent
Increase

Divide by Whole Number (positive) Exponents
Move right with the Number -- move places equal to the exponent
Left with the Decimal Point -- move places equal to the exponent
Decrease

 CCSS.Math.Content.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. CCSS.Math.Content.5.NBT.A.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. MA GRADE 5 STANDARD Proposed Update: Recognize that in a multi-digit number, including decimals, a digit in any one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. MA Grade Current 5 Math Place Value Standards:

Scratch Animated Model #1

Note that the practice pages are often manipulated to respond to each year's students' needs

Practice sheets can be used in any order: Practice1  Practice 2  Practice 3 Practice 4 Practice 5

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