daily dose:
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Daily Dose:. There are 3 kids sharing a bag of candy. If the bag of candy is pounds of candy, how much does each kid get? The definition of _________________ is repeated addition . For example, the problem 8 + 8 + 8 + 8 could be rewritten as: _____________ - PowerPoint PPT PresentationTRANSCRIPT
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Daily Dose:1. There are 3 kids sharing a bag of candy. If the bag of candy is
pounds of candy, how much does each kid get?
2. The definition of _________________ is repeated addition.
3. For example, the problem 8 + 8 + 8 + 8 could be rewritten as: _____________
4. How can you rewrite 8 x 8 x 8 x 8 ? ____________
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Exponents!! * My goal is... to use patterns to generate the laws of exponents and apply them. Where is an exponent?
What is an exponent? Why do we use exponents?
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Location of Exponent
An exponent is a little number high and to the right of a regular number (base number).
3 4Base
Exponent
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Definition of Exponent
An exponent tells how many times a number is multiplied by itself.
3 4Base
Exponent
3 = 3 x 3 x 3 x 34
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Why do we use Exponents?
They make things simpler!
7 __ 7 x 7 x 7 =
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Why do we use Exponents?
They make things simpler!
7 3 7 x 7 x 7 =
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Exponent Language
This exponent is read three to the fourth power.
3 4Base
Exponent
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Read These Exponents
3 2 6 72 3 5 4
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Rewrite using Exponents
2 x 2 x 2 =
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2 x 2 x 2 = 2 3
Rewrite using Exponents
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9 x 9 =
Rewrite using Exponents
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9 x 9 = 92
Rewrite using Exponents
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5 x 5 x 5 x 5 x 5 =
Rewrite using Exponents
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5 x 5 x 5 x 5 x 5 = 55
Rewrite using Exponents
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1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 =
Rewrite using Exponents
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1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8
Rewrite using Exponents
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1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8
Rewrite using Exponents
1 =8
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How to Multiply Out an Exponent to Find theStandard Form (simplify):
just multiply, one number at a time.
= 3 x 3 x 3 x 33
927
81
4
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Simplify the Base and Exponentin Standard Form?
4 2= 16
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2 3= 8
Simplify the Base and Exponentin Standard Form?
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3 2= 9
Simplify the Base and Exponentin Standard Form?
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5 0= 1
Simplify the Base and Exponentin Standard Form?
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Daily Dose:1. What is the base number and what is the exponent?
2. What is the value of 9 to the second power?
3. Write in EXTENDED FORM: (written all out):
A: B:
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Exponents Are Often Used inArea Problems to Show the
Feet Are Squared
Length x width = areaA pool is a rectangleLength = 30 ft.Width = 15 ft.Area = 30 x 15 = 450 ft. 2
15ft.
30ft
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Exponents Are Often Used inVolume Problems to Show the
Centimeters Are CubedLength x width x height = volumeA box is a rectangleLength = 10 cm.Width = 10 cm.Height = 20 cm.Volume =
20 x 10 x 10 = 2,000 cm.3
10
10
10
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Here Are Some AreasChange Them to Exponents
40 feet squared = 40 ft.56 sq. inches = 56 in.38 m. squared = 38 m.56 sq. cm. = 56 cm.
2
2
2
2
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Here Are Some VolumesChange Them to Exponents
30 feet cubed = 30 ft.26 cu. inches = 26 in.44 m. cubed = 44 m.56 cu. cm. = 56 cm.
3
3
3
3