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How do you write $971$ in scientific notation? $\newline$ $\_\_\_\_\_\_ \times 10^{\_\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

971

in scientific notation?

\newline

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

Find Coefficient: What will be the coefficient when $971$ is written in scientific notation? $\newline$ We should move the decimal to the right of the last digit and then to the left until the number is greater than or equal to $1$ and less than $10$ . $\newline$ Coefficient: $9.71$
Determine Exponent Sign: Would $971$ have a positive or negative exponent when written in scientific notation? $\newline$ $971$ is a number greater than $10$ . $\newline$ It can be represented by a positive exponent.
Identify Exponent: What is the exponent when $971$ is written in scientific notation? $\newline$ We moved the decimal to the left $2$ times to make the coefficient $9.71$ . $\newline$ $971 = 9.71 \times 10^2$ $\newline$ Exponent: $2$
Write in Scientific Notation: Fill in the values to write $971$ in scientific notation. $\newline$ Substitute $9.71$ for the coefficient and $2$ for the exponent in the expression $a \times 10^b$ . $\newline$ Scientific notation: $9.71 \times 10^2$

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