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
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 ? ____________
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?
Location of Exponent
An exponent is a little number high and to the right of a regular number (base number).
3 4Base
Exponent
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
Why do we use Exponents?
They make things simpler!
7 __ 7 x 7 x 7 =
Why do we use Exponents?
They make things simpler!
7 3 7 x 7 x 7 =
Exponent Language
This exponent is read three to the fourth power.
3 4Base
Exponent
Read These Exponents
3 2 6 72 3 5 4
Rewrite using Exponents
2 x 2 x 2 =
2 x 2 x 2 = 2 3
Rewrite using Exponents
9 x 9 =
Rewrite using Exponents
9 x 9 = 92
Rewrite using Exponents
5 x 5 x 5 x 5 x 5 =
Rewrite using Exponents
5 x 5 x 5 x 5 x 5 = 55
Rewrite using Exponents
1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 =
Rewrite using Exponents
1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8
Rewrite using Exponents
1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1 8
Rewrite using Exponents
1 =8
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
Simplify the Base and Exponentin Standard Form?
4 2= 16
2 3= 8
Simplify the Base and Exponentin Standard Form?
3 2= 9
Simplify the Base and Exponentin Standard Form?
5 0= 1
Simplify the Base and Exponentin Standard Form?
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:
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
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
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
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