Multiply. (3 * 10^4)(2 * 10^1) Choices: (A)6 * 10^4 (B)5 * 10^4 (C)5 * 10^5 (D)6 * 10^5

Group Terms: We have the expression (3 * 10^4)(2 * 10^1). First, we need to group the coefficients and the power terms together. Coefficients: 3 and 2 Power terms: 10^4 and 10^1Multiply Coefficients: Multiply the coefficients together. What is 3 × 2? 3 × 2 = 6Combine Power Terms: Combine the power terms 10^4 and 10^1 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^1 = 10^(4 + 1) = 10^5Write in Scientific Notation: We have found the coefficient to be 6 and the power term to be 10^5. Now, we write the final answer in scientific notation by combining the coefficient and the power term. Scientific notation: 6 × 10^5

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Multiply. $\newline$ $(3 \times 10^4)(2 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^4$ $\newline$ (B) $5 \times 10^4$ $\newline$ (C) $5 \times 10^5$ $\newline$ (D) $6 \times 10^5$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^4)(2 \times 10^1)

\newline

Choices:

\newline

(A)

6 \times 10^4

\newline

(B)

5 \times 10^4

\newline

(C)

5 \times 10^5

\newline

(D)

6 \times 10^5

Group Terms: We have the expression $(3 \times 10^4)(2 \times 10^1)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^4$ and $10^1$
Multiply Coefficients: Multiply the coefficients together. What is $3 \times 2$ ? $\newline$ $3 \times 2 = 6$
Combine Power Terms: Combine the power terms $10^4$ and $10^1$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^1$ $\newline$ = $10^{4 + 1}$ $\newline$ = $10^5$
Write in Scientific Notation: We have found the coefficient to be $6$ and the power term to be $10^5$ . Now, we write the final answer in scientific notation by combining the coefficient and the power term. $\newline$ Scientific notation: $6 \times 10^5$