Math

QuestionConvert 4810000 into scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number to be converted into scientific notation is 48100004810000.

STEP 2

Scientific notation 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 mathematics and engineering. The format for writing a number in scientific notation is a×10na \times10^n, where 1a<101 \leq |a| <10 and nn is an integer.

STEP 3

To convert the number 48100004810000 into scientific notation, we need to move the decimal point to the right of the first non-zero digit. In this case, the first non-zero digit is $$.

STEP 4

Moving the decimal point6 places to the left, we get 4.8100004.810000.

STEP 5

We can ignore the trailing zeros after the decimal point, so the number becomes 4.814.81.

STEP 6

The number of places we moved the decimal point (6) becomes the exponent of 1010 in the scientific notation. Therefore, the number 48100004810000 in scientific notation is 4.81×1064.81 \times10^6.
The number 48100004810000 in scientific notation is 4.81×1064.81 \times10^6.

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