Multiply. (3 * 10^4)(2 * 10^3) Choices: (A)5 * 10^1 (B)6 * 10^7 (C)5 * 10^7 (D)6 * 10^1

Identify Coefficients and Power Terms: We have: (3 × 10^4)(2 × 10^3) Group the coefficients and power terms together. Coefficients: 3 and 2 Power terms: 10^4 and 10^3Multiply Coefficients: What is 3 × 2? Multiply the coefficients. 3 × 2 = 6Combine Power Terms: Write 10^4 × 10^3 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^3 = 10^(4 + 3) = 10^7Write Final Answer in Scientific Notation: We found: Coefficient = 6 Power term = 10^7 Write the final answer in scientific notation. Substitute 6 for a and 7 for b in a × 10^b. Scientific notation: 6 × 10^7

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Multiply. $\newline$ $(3 \times 10^4)(2 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $5 \times 10^1$ $\newline$ (B) $6 \times 10^7$ $\newline$ (C) $5 \times 10^7$ $\newline$ (D) $6 \times 10^1$

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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 10^3)

\newline

Choices:

\newline

(A)

5 \times 10^1

\newline

(B)

6 \times 10^7

\newline

(C)

5 \times 10^7

\newline

(D)

6 \times 10^1

Identify Coefficients and Power Terms: We have: $\newline$ $(3 \times 10^4)(2 \times 10^3)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^4$ and $10^3$
Multiply Coefficients: What is $3 \times 2$ ? Multiply the coefficients. $\newline$ $3 \times 2 = 6$
Combine Power Terms: Write $10^4 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^3$ $\newline$ $= 10^{4 + 3}$ $\newline$ $= 10^7$
Write Final Answer in Scientific Notation: We found: $\newline$ Coefficient = $6$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. Substitute $6$ for $a$ and $7$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $6 \times 10^7$