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How do you write $700,000$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Scientific notation

Full solution

Q. How do you write

700,000

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 only one non-zero digit remains to the left of the decimal point. The number of places we move the decimal point will be the exponent of $10$ .
Move Decimal Point: $700,000$ has five zeros following the $7$ , so we move the decimal point $5$ places to the left to get $7.00000$ .
Identify Number: After moving the decimal point $5$ places to the left, we get $7.0$ , which is the number between $1$ and $10$ that we will use in the scientific notation.
Determine Exponent: Since we moved the decimal point $5$ places, the exponent of $10$ will be $5$ . Therefore, $700,000$ in scientific notation is written as $7.0 \times 10^5$ .

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