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QuestionConvert the following numbers to scientific notation: 9. 3,230,000=3.23×1063,230,000=3.23 \times 10^{6}, 10. 0.0000085=0.0000085=

Studdy Solution

STEP 1

Assumptions1. The number to be converted into scientific notation is 0.00000850.0000085 . 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. It is written as a product of a number between1 and10 and a power of10.

STEP 2

First, we need to determine the decimal place movement to convert the number into a form between1 and10. In this case, we need to move the decimal place6 places to the right to get8.5.
0.0000085=8.5×10−60.0000085 =8.5 \times10^{-6}

STEP 3

Now, we have the number in the form of a number between1 and10, but we need to adjust this to be between1 and10. So we divide8.5 by10 to get0.85 and adjust the exponent of10 accordingly.
8.5×10−6=0.85×10−58.5 \times10^{-6} =0.85 \times10^{-5}

STEP 4

Finally, we simplify the notation to the standard form of scientific notation, which is a number between1 and10 multiplied by a power of10.
0.85×10−=8.×10−60.85 \times10^{-} =8. \times10^{-6}So, 0.0000080.000008 in scientific notation is 8.×10−68. \times10^{-6}.

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