negative exponents swbat express powers with negative exponents as decimals; express decimals as...
TRANSCRIPT
Negative ExponentsNegative ExponentsSWBAT express powers with negative SWBAT express powers with negative
exponents as decimals; express exponents as decimals; express decimals as powers with negative decimals as powers with negative
exponents; simplify expressions with exponents; simplify expressions with negative exponentsnegative exponents
ExponentsExponents
What does an exponent mean (what are What does an exponent mean (what are you doing when you solve an exponent)?you doing when you solve an exponent)?– Repeatedly multiplying the base numberRepeatedly multiplying the base number
Discuss with a partner: What do you think Discuss with a partner: What do you think you would do if you had a negative you would do if you had a negative exponent?exponent?– Repeatedly dividingRepeatedly dividing
How do we rewrite negative exponents as How do we rewrite negative exponents as a positive one?a positive one?– Write it as a fraction xWrite it as a fraction x-y-y = 1/x = 1/xyy
ExamplesExamples
Write as a fraction, and a power of Write as a fraction, and a power of 1010
0.010.01 0.000010.00001 0.0010.001
ExamplesExamples
EvaluateEvaluate 44-1-1
66-2-2
88-3-3
1/91/9-3-3
ReviewReview
When we multiply exponents with When we multiply exponents with the same base what do we do?the same base what do we do?– Keep the base and add the exponentKeep the base and add the exponent
When we divide exponents with the When we divide exponents with the same base what do we do?same base what do we do?– Keep the base and subtract the Keep the base and subtract the
exponentexponent
ExamplesExamples
77-2-2 x 7 x 7-2-2
22-5-5 x 2 x 2-1-1
(4(4-1-1)(4)(4-2-2)) _10_10-9-9__
1010-4-4
_8_800__
88-2-2
Do the try these problems on Do the try these problems on your paperyour paper
33-1-1 – 1/31/3
44-3-3
– 1/41/433
– 1/641/64 1010-7-7
– 1/101/1077
– 1/100000001/10000000 1010-8-8
– 1/101/1088
0.0000010.000001– 1010-6-6
0.010.01– 1010-2-2
22-5-5(2(2-3-3))– 22-8-8
– 1/21/288
– 1/2561/256
33-4-4(3(3-2-2))– 33-6-6
– 1/31/366
_11_11-7-7_ _ 1111-6-6
– 1111-1-1
– 1/111/11– 1/21/255
_5_5-6-6__ 55-2-2
– 55-4-4
– 1/51/544
33-7-7__ 33-3-3
– 33-4-4
– 1/31/344
22-10-10__ 22-5-5
– 22-5-5
– 1/21/255