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How do you write $8,000$ in scientific notation? $\newline$ $\_\_\_\_\_ \times 10^{\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

8,000

in scientific notation?

\newline

\_\_\_\_\_ \times 10^{\_\_\_\_\_}

Express in Scientific Notation: To write a number in scientific notation, we need to express it as a number between $1$ and $10$ multiplied by a power of $10$ . We do this by moving the decimal point in the number to the left until we have a number between $1$ and $10$ . We count the number of places we move the decimal point to determine the exponent on the $10$ .
Move Decimal Point: The number $8,000$ has its decimal point after the last zero. To get a number between $1$ and $10$ , we move the decimal point three places to the left. This gives us $8.000$ , or simply $8$ .
Determine Exponent: Since we moved the decimal point three places to the left, the exponent on the $10$ will be $3$ . This is because each move to the left increases the exponent by $1$ .
Write in Scientific Notation: Now we can write $8,000$ in scientific notation as $8 \times 10^3$ .

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