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How do you write $26$ in scientific notation? $\newline$ $\_\_\_\_\_\times 10^{\_\_\_\_\_}$

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Convert between standard and scientific notation

Full solution

Q. How do you write

26

in scientific notation?

\newline

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

Determine Coefficient: Determine the coefficient for the scientific notation of the number $26$ . To find the coefficient, we need to move the decimal point so that the number is at least $1$ but less than $10$ . Coefficient: $2.6$ (since $26$ becomes $2.6$ when we move the decimal one place to the left)
Decide Exponent Sign: Decide whether the exponent in the scientific notation of the number $26$ will be positive or negative. $\newline$ Since $26$ is greater than $10$ , the exponent will be positive.
Calculate Exponent: Calculate the exponent for the scientific notation of the number $26$ . We moved the decimal one place to the left to get the coefficient $2.6$ . Therefore, $26 = 2.6 \times 10^1$ Exponent: $1$
Write in Scientific Notation: Write the number $26$ in scientific notation using the coefficient and exponent determined in the previous steps. $\newline$ Substitute $2.6$ for the coefficient and $1$ for the exponent in the expression $a \times 10^b$ . $\newline$ Scientific notation: $2.6 \times 10^1$

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