Question

Simplify the expression. Write your answer in scientific notation. (4 x 10^8)(8.2 x 10^-2)

Answer 1

3.28×10^7

Answer 2

Multiply 4 and 8.2 to get 4*8.2 = 32.8

Then multiply 10^8 and 10^(-2) by adding the exponents to get

10^8*10^(-2) = 10^(8 + (-2))

10^8*10^(-2) = 10^(8 - 2)

10^8*10^(-2) = 10^6

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So we now have 32.8 x 10^6

Now convert 32.8 to scientific notation to get 3.28 x 10^1

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We now have

(3.28 x 10^1) x 10^6

3.28 x (10^1 x 10^6)

3.28 x 10^(1 + 6)

3.28 x 10^7


So that means

(4 x 10^8)(8.2 x 10^-2) = 3.28 x 10^7

Answer 3

Thank you!! :)

Answer 4

you're welcome