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

Group Coefficients and Powers: We have the expression (2 * 10^4)(3 * 10^5). First, we group the coefficients (2 and 3) and the power terms (10^4 and 10^5) together.Multiply Coefficients: Multiply the coefficients. We calculate 2 * 3 to get the new coefficient. 2 * 3 = 6Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same (10). We use the rule 10^m * 10^n = 10^(m+n). 10^4 * 10^5 = 10^(4 + 5) = 10^9Write in Scientific Notation: We now have the new coefficient (6) and the combined power term (10^9). We write the final answer in scientific notation by combining these two results. Scientific notation: 6 * 10^9

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

\newline

Choices:

\newline

(A)

8 \times 10^9

\newline

(B)

4 \times 10^9

\newline

(C)

3 \times 10^9

\newline

(D)

6 \times 10^9

Group Coefficients and Powers: We have the expression $2 \times 10^4$ $3 \times 10^5$ . First, we group the coefficients $2$ and $3$ and the power terms $10^4$ and $10^5$ together.
Multiply Coefficients: Multiply the coefficients. We calculate $2 \times 3$ to get the new coefficient. $\newline$ $2 \times 3 = 6$
Combine Power Terms: Combine the power terms by adding the exponents, since the base is the same $10$ . We use the rule $10^m \times 10^n = 10^{(m+n)}$ . $\newline$ $10^4 \times 10^5 = 10^{(4 + 5)} = 10^9$
Write in Scientific Notation: We now have the new coefficient $6$ and the combined power term $10^9$ . We write the final answer in scientific notation by combining these two results. $\newline$ Scientific notation: $6 \times 10^9$