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How do you write $1,500$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Scientific notation

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Q. How do you write

1,500

in scientific notation?

\newline

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

Move decimal point left: 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. For $1,500$ , the decimal point is currently after the last zero, and we need to move it three places to the left to be after the first digit, which is $1$ .
Determine number between $1$ $-10$ : After moving the decimal point three places to the left, we get $1.5$ . This is the number between $1$ and $10$ that we will use in the scientific notation.
Multiply by $10$ raised to power: Since we moved the decimal point three places to the left, we multiply $1.5$ by $10$ raised to the power of $3$ to get the equivalent value in scientific notation. This is because each move of the decimal point to the left increases the exponent by $1$ .
Write in scientific notation: Therefore, $1,500$ written in scientific notation is $1.5 \times 10^3$ .

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