Multiply. Write your answer in scientific notation. (2 * 10^3)(2 * 10^2) ______

Group Coefficients and Powers: We have the expression (2 * 10^3)(2 * 10^2). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 2 Power terms: 10^3 and 10^2Multiply Coefficients: Multiply the coefficients together. What is 2 × 2? 2 × 2 = 4Combine Power Terms: Combine the power terms 10^3 × 10^2 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^2 = 10^(3 + 2) = 10^5Write in Scientific Notation: We have found the coefficient to be 4 and the power term to be 10^5. Now, we write the final answer in scientific notation by substituting 4 for the coefficient a and 5 for the exponent b in the form a × 10^b. Scientific notation: 4 × 10^5

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Multiply. Write your answer in scientific notation. $\newline$ $(2 \times 10^3)(2 \times 10^2)$ $\newline$ ______

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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

(2 \times 10^3)(2 \times 10^2)

\newline

______

Group Coefficients and Powers: We have the expression $(2 \times 10^3)(2 \times 10^2)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $2$ $\newline$ Power terms: $10^3$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. What is $2 \times 2$ ? $\newline$ $2 \times 2 = 4$
Combine Power Terms: Combine the power terms $10^3 \times 10^2$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^2 = 10^{3 + 2} = 10^5$
Write in Scientific Notation: We have found the coefficient to be $4$ and the power term to be $10^5$ . Now, we write the final answer in scientific notation by substituting $4$ for the coefficient $a$ and $5$ for the exponent $b$ in the form $a \times 10^b$ . $\newline$ Scientific notation: $4 \times 10^5$