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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: _____________
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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: _____________ 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). Exponent 3 4 Base
Definition of Exponent • An exponent tells how many times a number is multiplied by itself. Exponent 3 4 Base = 3 x 3 x 3 x 3 3 4
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. Exponent 3 4 Base
Read These Exponents 3 2 2 3 6 5 7 4
Rewrite using Exponents 2 x 2 x 2 =
Rewrite using Exponents 3 2 x 2 x 2 = 2
Rewrite using Exponents 9 x 9 =
Rewrite using Exponents 2 9 x 9 = 9
Rewrite using Exponents 5 x 5 x 5 x 5 x 5 =
Rewrite using Exponents 5 5 x 5 x 5 x 5 x 5 = 5
Rewrite using Exponents 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 =
Rewrite using Exponents 8 1 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 =
Rewrite using Exponents 8 1 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 8 1 =
How to Multiply Out an Exponent to Find theStandard Form (simplify):just multiply, one number at a time. 4 3 = 3 x 3 x 3 x 3 9 27 81
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 theFeet Are Squared Length x width = area A pool is a rectangle Length = 30 ft. Width = 15 ft. Area = 30 x 15 = 450 ft. 15ft. 30ft 2
Exponents Are Often Used inVolume Problems to Show theCentimeters Are Cubed Length x width x height = volume A box is a rectangle Length = 10 cm. Width = 10 cm. Height = 20 cm. Volume = 20 x 10 x 10 = 2,000 cm. 10 10 10 3
Here Are Some AreasChange Them to Exponents 2 40 feet squared = 40 ft. 56 sq. inches = 56 in. 38 m. squared = 38 m. 56 sq. cm. = 56 cm. 2 2 2
Here Are Some VolumesChange Them to Exponents 3 30 feet cubed = 30 ft. 26 cu. inches = 26 in. 44 m. cubed = 44 m. 56 cu. cm. = 56 cm. 3 3 3