Math

QuestionConvert 0.0019 to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number we are converting is0.0019. We are converting this number into scientific notation, which is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is commonly used in scientific calculations where the analysis often involves very large or very small numbers. The format for writing a number in scientific notation is a×10na \times10^n, where1 ≤ |a| <10 and n is an integer.

STEP 2

To convert a number into scientific notation, we need to move the decimal point to the right until we have a number between1 and10. We count the number of places we move the decimal point, which will be the exponent of10.
0.0019=1.9×100.0019 =1.9 \times10^{-}

STEP 3

The number of places we moved the decimal point is3, so the exponent of10 is -3. This is because we moved the decimal point to the right, which makes the exponent negative. If we had moved the decimal point to the left, the exponent would be positive.
0.0019=1.9×1030.0019 =1.9 \times10^{-3}The number0.0019 in scientific notation is 1.9×1031.9 \times10^{-3}.

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