Multiply. (3 * 10^5)(3 * 10^2) Choices: (A)9 * 10^7 (B)5 * 10^8 (C)9 * 10^8 (D)5 * 10^7

Group Coefficients and Powers: We have the expression (3 * 10^5)(3 * 10^2). First, we group the coefficients and power terms together. Coefficients: 3 and 3 Power terms: 10^5 and 10^2Multiply Coefficients: Multiply the coefficients together. 3 * 3 = 9Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same (10). 10^5 * 10^2 = 10^(5 + 2) = 10^7Write Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 9 Power term = 10^7 Scientific notation: 9 * 10^7

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Multiply. $\newline$ $(3 \times 10^5)(3 \times 10^2)$ $\newline$ Choices: $\newline$ (A) $9 \times 10^7$ $\newline$ (B) $5 \times 10^8$ $\newline$ (C) $9 \times 10^8$ $\newline$ (D) $5 \times 10^7$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^5)(3 \times 10^2)

\newline

Choices:

\newline

(A)

9 \times 10^7

\newline

(B)

5 \times 10^8

\newline

(C)

9 \times 10^8

\newline

(D)

5 \times 10^7

Group Coefficients and Powers: We have the expression $3 \times 10^5$ ( $3$ \times $10$ ^ $2$ \). First, we group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $3$ $\newline$ Power terms: $10^5$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. $\newline$ $3 \times 3 = 9$
Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same $10$ . $10^5 \times 10^2 = 10^{(5 + 2)} = 10^7$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $9$ $\newline$ Power term = $10^7$ $\newline$ Scientific notation: $9 \times 10^7$