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Math

Math Snap

PROBLEM

Convert the number 2.58×1032.58 \times 10^{-3} to decimal notation.

STEP 1

Assumptions1. The number is in scientific notation, which is a way of expressing numbers that are too big or too small to be conveniently written in decimal form.
. The number is .58×103.58 \times10^{-3}

STEP 2

To convert a number from scientific notation to decimal notation, we move the decimal point in the number part (2.58 in this case) to the left or right depending on the exponent of10. If the exponent is negative, we move the decimal point to the left. If the exponent is positive, we move the decimal point to the right.

STEP 3

In this case, the exponent of10 is -3, which is negative. So, we will move the decimal point in2.58 three places to the left.

SOLUTION

When we move the decimal point three places to the left, we get0.00258.
So, 2.58×1032.58 \times10^{-3} in decimal notation is0.00258.

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