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How do you multiply #(5times10^2)(1times10^8)# in scientific notation?

Answer 1

Kennedy Adams

#5xx10^10#

#(5times10^2)(1times10^8)#

Expand,

#5xx10^2xx10^8#

Simplify,

#5xx10^(8+2)=5xx10^10#

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Answer 2

Kennedy Adams

To multiply ((5 \times 10^2)(1 \times 10^8)) in scientific notation, you multiply the coefficients (5 and 1) and add the exponents (2 and 8).

[5 \times 10^2 \times 1 \times 10^8 = 5 \times 1 \times 10^{2+8} = 5 \times 10^{10}]

So, the result in scientific notation is (5 \times 10^{10}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.