Multiply. Write your answer in scientific notation. (1 * 10^1)(8 * 10^1) ______

Group Coefficients and Powers: We have the expression (1 * 10^1)(8 * 10^1). First, we need to group the coefficients and the power terms together. Coefficients: 1 and 8 Power terms: 10^1 and 10^1Multiply Coefficients: Multiply the coefficients together. What is 1 × 8? 1 × 8 = 8Combine Power Terms: Combine the power terms 10^1 × 10^1 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^1 × 10^1 = 10^(1 + 1) = 10^2Write in Scientific Notation: We have found: Coefficient = 8 Power term = 10^2 Now, write the final answer in scientific notation by substituting 8 for the coefficient and 2 for the exponent. Scientific notation: 8 × 10^2

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Multiply. Write your answer in scientific notation. $\newline$ $(1 \times 10^1)(8 \times 10^1)$ $\newline$ ______

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Algebra 1

Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

(1 \times 10^1)(8 \times 10^1)

\newline

______

Group Coefficients and Powers: We have the expression $1 \times 10^1$ $(8 \times 10^1)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $1$ and $8$ $\newline$ Power terms: $10^1$ and $10^1$
Multiply Coefficients: Multiply the coefficients together. What is $1 \times 8$ ? $\newline$ $1 \times 8 = 8$
Combine Power Terms: Combine the power terms $10^1 \times 10^1$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^1$ $\newline$ $= 10^{(1 + 1)}$ $\newline$ $= 10^2$
Write in Scientific Notation: We have found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^2$ $\newline$ Now, write the final answer in scientific notation by substituting $8$ for the coefficient and $2$ for the exponent. $\newline$ Scientific notation: $8 \times 10^2$