Exponents I’ve Got the Power!. WARM-UP: September 30th Chang’s family bought tickets for a charity lottery for October 1st. The winner will have 2 options.

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Presentation transcript:

Exponents I’ve Got the Power!

WARM-UP: September 30th Chang’s family bought tickets for a charity lottery for October 1st. The winner will have 2 options for the prize: Option 1: Take $1000 immediately Option 2: Take the prize money on October 11 th, if it is calculated by doubling the amount each day beginning with $2 on October 1 st.

DateAmount Won ($) October October 2 October 3 October 4 October 5 October 6 October 7 October 8 October 9 October 10 October 11

DateAmount Won ($) October October 2 2×2 4 October 3 October 4 October 5 October 6 October 7 October 8 October 9 October 10 October 11

DateAmount Won ($) October October 2 2×2 4 October 3 2×2×2 8 October 4 October 5 October 6 October 7 October 8 October 9 October 10 October 11

DateAmount Won ($) October October 2 2×2 4 October 3 2×2×2 8 October 4 2×2×2×2 16 October 5 October 6 October 7 October 8 October 9 October 10 October 11

DateAmount Won ($) October October 2 2×2 4 October 3 2×2×2 8 October 4 2×2×2×2 16 October 5 October 6 October 7 October 8 October 9 October 10 October 11 2×2×2×2×2×2×2×2×2×2×2×2 2048

DateAmount Won ($) October October 2 2×2 4 October 3 2×2×2 8 October 4 2×2×2×2 16 October 5 2×2×2×2×2 32 October 6 2×2×2×2×2×2 64 October 7 2×2×2×2×2×2×2 128 October 8 2×2×2×2×2×2×2×2 256 October 9 2×2×2×2×2×2×2×2×2 512 October 10 2×2×2×2×2×2×2×2×2× October 11 2×2×2×2×2×2×2×2×2×2×2×2 2048

EXPONENTS: I’ve Got the Power!  Exponential form is a way of writing repeated multiplication It looks like this: 3 2 and it represents 3 × 3  Base: is the number in exponential form that is being multiplied by itself  Exponent: the number, in the exponential form, indicating how many times the base is multiplied by itself.  Power: Another way to express exponential form  “ 3 to the power of 2” is the same as 3 2

 Expanded form : writing out the multiplication (showing a number multiplied by itself repeatedly)  Ex: 5 × 5 × 5 × 5 is the expanded form of 5 4

DateAmount Won ($) Exponential Form October October 2 2×2 42 October 3 2×2× October 4 2×2×2× October 5 2×2×2×2× October 6 2×2×2×2×2× October 7 2×2×2×2×2×2× October 8 2×2×2×2×2×2×2× October 9 2×2×2×2×2×2×2×2× October 10 2×2×2×2×2×2×2×2×2× October 11 2×2×2×2×2×2×2×2×2×2×

Check your Understanding 1) Write in expanded form: a) 2 4 ___________________ b) 10 3 ___________________ c) 6 5 ___________________ 2) Write in exponent form: a) 3x3x3x3 ______________ b) 2x2x2_________________ c) 5x5x5x5x5x5___________ 3) Write in standard form (solve): a) 2 4 __________________ b) 10 3 __________________ c) 3 5 ___________________ 4) Write each number in exponential form with a base of 3: a) 9 __________ b) 81_________ c) 27 _________ 5) Express each number with exponent 2 16 = _______ b. 64=______