Powers of Ten and the Zero Exponent Topic 2.2. ExponentPowerRepeated Multiplication Standard Form 55 5x5x5x5x53125 45454 5x5x5x5625 35353 5x5x5125 25252.

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Presentation transcript:

Powers of Ten and the Zero Exponent Topic 2.2

ExponentPowerRepeated Multiplication Standard Form 55 5x5x5x5x x5x5x x5x x What happens to the standard form when you increase the exponent by 1? What happens to the standard form when you decrease the exponent by 1?

ExponentPowerRepeated Multiplication Standard Form 5(-5) 5 -5x-5x-5x-5x (-5) 4 -5x-5x-5x (-5) 3 -5x-5x (-5) 2 -5x-525 1(-5) (-5) 0 1 How does the negative sign affect the standard form answer? Does the pattern of increasing and decreasing Change with the negative base?

A Power of 10 always has a BASE of 10 and then any integer exponent. Number in WordsStandard FormPower One Billion One Hundred Million Ten Million One Million One Hundred Thousand Ten Thousand One Thousand One Hundred Ten One110 0 How are the exponent and the number of zeros in the Standard Form related?

EXAMPLES Write the following numbers using powers of 10: 3452 = (3 x 1000) + (4 x 100) + (5 x 10) + (2 x 1) (3 x 10 3 ) + (4 x 10 2 ) + (5 x 10 1 ) + (2 X 10 0 ) 234 = (2 x 100) + (3 x 10) + (4 x 1) (2 x 10 2 ) + (3 x 10 1 ) + (4 x 10 0 )

A power with an integer base, other than 0, and an exponent 0 is always equal to 1. n 0 =1 n≠0 2 0 = =1 (-5) 0 =1

EXAMPLES Evaluate each expression: 4 0 = (-4) 0 = = -4 0 = -(-5) 0 = When does the exponent apply to the negative sign? It applies to what is inside the bracket (if no bracket it only applies to the number)

ASSIGNMENT PAGE 61 DISCUSS: 1, 2, 3 # 4ac, 5, 6ace, 8ace, 9bce, 10, 11, 12, 13a, 14

Interactive Website For Powers of Ten ndex.html?l=0&ID1=AB.MATH.JR.NUMB&ID2= AB.MATH.JR.NUMB.EXPO