QuestionConvert 0.000000783 to scientific notation.

Studdy Solution

STEP 1

Assumptions1. The number we are converting to scientific notation is0.000000783. In scientific notation, a number is written as a product of two numbers a coefficient and10 raised to a power. The coefficient is always between1 and10 (including1 but excluding10), and the power of10 indicates the number of places the decimal point was moved.

STEP 2

To convert the number to 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. This will be the exponent of10.

STEP 3

Move the decimal point7 places to the right.
$0.000000783 \rightarrow7.83$

STEP 4

The number of places we moved the decimal point (7) becomes the negative exponent of10, because we moved the decimal point to the right.
$7.83 \times10^{-7}$ So,0.000000783 written in scientific notation is $7.83 \times10^{-7}$ .

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