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QuestionWhat is the standard form of the number 6.14×10−96.14 \times 10^{-9}? Drag the answer into the box.

Studdy Solution

STEP 1

Assumptions1. The number is given in scientific notation as 6.14×10−96.14 \times10^{-9}. . We need to convert this number into standard form.

STEP 2

The standard form of a number is written by moving the decimal point in the number part (6.14) to the right if the exponent of10 is negative, and to the left if the exponent is positive. The number of places to move the decimal point is equal to the absolute value of the exponent.

STEP 3

In this case, the exponent of10 is -9, which is negative. So, we need to move the decimal point in6.14 to the left by9 places.

STEP 4

Moving the decimal point to the left by9 places, we get6.14×10−9=0.000000006146.14 \times10^{-9} =0.00000000614So, the number 6.14×10−96.14 \times10^{-9} in standard form is 0.000000006140.00000000614.

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