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# Introduction to Exponents

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#### Transcript of Introduction to Exponents

What Are Exponents? Let's do a quick review... 5 X 2 When writing or talking about an exponent, here is what you say: 7 Introduction to Exponents Now You Try! 4 X 5 4 X 5 ? 4 + 4 + 4 + 4 + 4 If multiplication is just a number adding itself a certain number of times... Then what does this mean? 3 3 3 3 Base Exponent The base is the main number, and the exponent tells us how many times it MULTIPLIES ITSELF. 3 3 3 X 3 x 3 = 9 X 3 = 27 Let's try another together 10 2 What number is the base? 10 What number is the exponent? 2 And the answer

is: 10 X 10 = 100 4 "Seven raised to the fourth power." 8 12 "Eight raised to the twelfth power." With your shoulder partner, tell each other how you would say: 2 5 "Two to the fifth power." Now let's solve the problem: Is it:

2 X 5? 2 5 NO! 2X2X2X2X2 = 4 X 4 X 2 = 16 X 2 = 32 WHEN WE WRITE OUT (OR EXPAND) THE PROBLEM, IT IS CALLED: EXPANDED NOTATION There are two exceptions to this rule: Any base to the second power can also be called SQUARED: 4 2 Four to the second power

OR

Four squared. Also, any base to the third power can also

be called CUBED: 7 3 Seven to the third power

OR

Seven cubed Any base with an exponent of 1, equals itself. 10 There are two tricky

exponents: 3 1 = 3 Any base with an exponent of 0 will ALWAYS EQUAL 1. 0 =1 5 0 =1 5 + 5 = 10 Exit Ticket: 4 2 1. Label the base and exponent

2. Write how you would say this.

3. Write the expanded notation of this problem.

4. Solve the problem.

Full transcriptis: 10 X 10 = 100 4 "Seven raised to the fourth power." 8 12 "Eight raised to the twelfth power." With your shoulder partner, tell each other how you would say: 2 5 "Two to the fifth power." Now let's solve the problem: Is it:

2 X 5? 2 5 NO! 2X2X2X2X2 = 4 X 4 X 2 = 16 X 2 = 32 WHEN WE WRITE OUT (OR EXPAND) THE PROBLEM, IT IS CALLED: EXPANDED NOTATION There are two exceptions to this rule: Any base to the second power can also be called SQUARED: 4 2 Four to the second power

OR

Four squared. Also, any base to the third power can also

be called CUBED: 7 3 Seven to the third power

OR

Seven cubed Any base with an exponent of 1, equals itself. 10 There are two tricky

exponents: 3 1 = 3 Any base with an exponent of 0 will ALWAYS EQUAL 1. 0 =1 5 0 =1 5 + 5 = 10 Exit Ticket: 4 2 1. Label the base and exponent

2. Write how you would say this.

3. Write the expanded notation of this problem.

4. Solve the problem.