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How do you write $74$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

74

in scientific notation?

\newline

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

Determine Coefficient: Determine the coefficient for the number $74$ in scientific notation. $\newline$ To write a number in scientific notation, we need to place the decimal point such that the number is between $1$ and $10$ . For the number $74$ , we move the decimal point between the $7$ and the $4$ . $\newline$ Coefficient: $7.4$
Decide Exponent Sign: Decide whether the exponent in the scientific notation will be positive or negative. $\newline$ Since $74$ is greater than $10$ , the exponent in scientific notation will be positive.
Calculate Exponent: Calculate the exponent for the number $74$ in scientific notation. $\newline$ We moved the decimal point one place to the left to get the coefficient $7.4$ . Therefore, the exponent will be $1$ because $10$ to the power of $1$ is $10$ , which is the factor needed to get back to the original number. $\newline$ $74 = 7.4 \times 10^1$ $\newline$ Exponent: $1$
Write in Scientific Notation: Write the number $74$ in scientific notation using the coefficient and exponent determined in the previous steps. $\newline$ Substitute $7.4$ for the coefficient and $1$ for the exponent in the expression $a \times 10^b$ . $\newline$ Scientific notation: $7.4 \times 10^1$

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