How do you simplify #(0.4 times 10^-6)(0.7 times 10^-2)# and write the answer in scientific notation?

Answer 1

#(0.4xx10^(-6))(0.7xx10^-2)=2.8xx10^(-9)#

#(0.4xx10^(-6))(0.7xx10^-2)#
= #0.4xx10^(-6)xx0.7xx10^-2#
= #0.4xx0.7xx10^(-6)xx10^-2#
= #4/10xx7/10xx10^((-6)+(-2))#
= #28/100xx10^(-8)#
= #0.28xx10^(-8)#
Now to right the result in scientific notation, we need to shift decimal in #0.28#, one point to right (to make only one digit to left of decimal point), i.e. multiply by #10# and hence we should also multiply it by #10^(-1)#.
Hence #(0.4xx10^(-6))(0.7xx10^-2)=2.8xx10^(-1)xx10^(-8)=2.8xx10^(-9)#
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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.

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.

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.

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.

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