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Grade 5 Module 1 Lesson 3 Use Exponents to name place value units and explain patterns in the placement of the decimal point.

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Presentation on theme: "Grade 5 Module 1 Lesson 3 Use Exponents to name place value units and explain patterns in the placement of the decimal point."— Presentation transcript:

1 Grade 5 Module 1 Lesson 3 Use Exponents to name place value units and explain patterns in the placement of the decimal point.

2 State the Unit as a Decimal 9 tenths = ___ 10 tenths = ___ 11 tenths = ___ 12 tenths = ___ 18 tenths = ___ 28 tenths = ___ 58 tenths = ___

3 Place Value Chart 1 M100 TH 10 TH 1 TH HundTensOne  1/101/100 1/1000 

4 Place Value Chart 1 M100 TH 10 TH 1 TH HundTensOne  1/101/100 1/1000  0.002

5 Place Value Chart 1 M100 TH 10 TH 1 TH HundTensOne  1/101/100  1/1000

6 Place Value Chart 1 M100 TH 10 TH 1 TH HundTensOne  1/101/100  1/1000 0.02

7 Application Jack and Kevin are creating a mosaic by using fragments of broken tiles for art class. They want the mosaic to have 100 sections. If each section requires 31.5 tiles, how many tiles will they need to complete the mosaic? Explain your reasoning with a place value chart?

8 Example of Mosaic

9 Place Value Chart 1 M100 TH 10 TH 1 TH HundTensOne  1/101/100 1/1000

10 Concept Development 1,000,000100,00010,000 100010010 10 x 1010 x 1

11 Concept Development 1,000,000100,00010,000 100010010 10x10x10x10x10x1 0 10x10x10x10x10 10x10x10x10 10x10x1010 x 1010 x 1

12 Exponent 1,000,000100,00010,000 100010010 10x10x10x10x10x1 0 10x10x10x10x10 10x10x10x10 10x10x1010 x 1010 x 1 10 2

13 Exponent 1,000,000100,00010,000 100010010 10x10x10x10x10x1 0 10x10x10x10x10 10x10x10x10 10x10x1010 x 1010 x 1 10 6 10 5 10 4 10 3 10 2 10 1

14 A Googol Multiply 10 one hundred times.

15 A Googol Multiply 10 one hundred times. 10 100 = a googol, with exponents.

16 Problem 2 Write ten to the fifth power as a product of tens.

17 Problem 2 Write ten to the fifth power as a product of tens. 10 5 = 10x10x10x10x10 Find the product

18 Problem 2 Write ten to the fifth power as a product of tens. 10 5 = 10x10x10x10x10 Find the product 10x10x10x10x10 = 100,000

19 Problem 3 Write the expression 10 x 100 using an exponent on your personal board.

20 Problem 4-5 3 x 10 2 3.4 x 10 3

21 Problem 6-7 700 ÷ 10 2 7.1 ÷ 10 2

22 Problems 8-9 Complete this pattern: 0.0434.3430______________ 6,300,000 ______6306.3_____

23 Problem Set Take about 10 minutes to solve the problem set, doing your personal best to complete.

24 Debried Today, we used exponents to name place value units and explain patterns in the placement of the decimal point.

25


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