How to simplify #5 times 4.0 times 10^-4# in scientific notation?

Answer 1

#5xx4.0xx10^-4=2xx10^-3#

#5xx4.0xx10^-4#

Multiply #5xx4#.

#20xx10^-4#

Move the decimal to the left one place so that the coefficient has one non-zero digit in front of the decimal, and add #1# to the exponent.

#20xx10^-4=#

#2xx10^(-4+1)=#

#2xx10^-3#

Note: Since #5# has only one significant figure, and we are multiplying, the answer can have only one significant figure. Therefore, the coefficient must be #2# and not #2.0#, which has two significant figures.

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Answer 2

Julia Adams

To simplify (5 \times 4.0 \times 10^{-4}) in scientific notation, we multiply the coefficients and add the exponents. So, (5 \times 4.0 \times 10^{-4} = 20 \times 10^{-4}). Therefore, in scientific notation, it is (2.0 \times 10^{-3}).

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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.