Math

QuestionCalculate the value of 1.49×1071.49 \times 10^{-7}.

Studdy Solution

STEP 1

Assumptions1. We are given a number in scientific notation 1.49×1071.49 \times10^{-7}

STEP 2

To convert a number from scientific notation to standard notation, we move the decimal point to the left if the exponent of10 is negative, and to the right if the exponent of10 is positive. The number of places we move the decimal point is equal to the absolute value of the exponent.

STEP 3

In this case, the exponent of10 is -7, which is negative. So, we move the decimal point in 1.491.49 seven places to the left.

STEP 4

Moving the decimal point seven places to the left in 1.491.49 gives us 0.0000001490.000000149.
So, 1.49×107=0.0000001491.49 \times10^{-7} =0.000000149.

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