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How do you write $60,500$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

60,500

in scientific notation?

\newline

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

Find Coefficient: What will be the coefficient when $60,500$ is written in scientific notation? $\newline$ We should move the decimal to the right of the last non-zero digit to the left until the number is greater than or equal to $1$ and less than $10$ . $\newline$ Coefficient: $6.05$
Sign of Exponent: Would $60,500$ have a positive or negative exponent when written in scientific notation? $\newline$ $60,500$ is a number greater than $10$ . $\newline$ It can be represented by a positive exponent.
Calculate Exponent: What is the exponent when $60,500$ is written in scientific notation? $\newline$ We moved the decimal to the left $4$ times to make the coefficient $6.05$ . $\newline$ $60,500 = 6.05 \times 10^4$ $\newline$ Exponent: $4$
Write in Scientific Notation: Fill in the values to write $60,500$ in scientific notation. $\newline$ Substitute $6.05$ for the coefficient and $4$ for the exponent in the expression $a \times 10^b$ . $\newline$ Scientific notation: $6.05 \times 10^4$

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