Multiply. (2 * 10^5)(3 * 10^4) Choices: (A)6 * 10^20 (B)8 * 10^20 (C)8 * 10^9 (D)6 * 10^9

Group Terms: We have the expression (2 * 10^5)(3 * 10^4). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 3 Power terms: 10^5 and 10^4Multiply Coefficients: Multiply the coefficients together. 2 * 3 = 6Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. 10^5 * 10^4 = 10^(5 + 4) = 10^9Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 6 Power term = 10^9 Scientific notation: 6 * 10^9

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Multiply. $\newline$ $(2 \times 10^5)(3 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^{20}$ $\newline$ (B) $8 \times 10^{20}$ $\newline$ (C) $8 \times 10^9$ $\newline$ (D) $6 \times 10^9$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^5)(3 \times 10^4)

\newline

Choices:

\newline

(A)

6 \times 10^{20}

\newline

(B)

8 \times 10^{20}

\newline

(C)

8 \times 10^9

\newline

(D)

6 \times 10^9

Group Terms: We have the expression $2 \times 10^5$ ( $3$ \times $10$ ^ $4$ \). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $3$ $\newline$ Power terms: $10^5$ and $10^4$
Multiply Coefficients: Multiply the coefficients together. $2 \times 3 = 6$
Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^4 = 10^{(5 + 4)} = 10^9$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $6$ $\newline$ Power term = $10^9$ $\newline$ Scientific notation: $6 \times 10^9$