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

Group Terms: We have the expression (1 * 10^1)(4 * 10^2). First, we need to group the coefficients and the power terms together. Coefficients: 1 and 4 Power terms: 10^1 and 10^2Multiply Coefficients: Multiply the coefficients together. 1 * 4 = 4Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. 10^1 * 10^2 = 10^(1 + 2) = 10^3Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 4 Power term = 10^3 Scientific notation: 4 * 10^3

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

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

6 \times 10^3

\newline

(B)

4 \times 10^4

\newline

(C)

4 \times 10^2

\newline

(D)

4 \times 10^3

Group Terms: We have the expression $1 \times 10^1$ $(4 \times 10^2)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $1$ and $4$ $\newline$ Power terms: $10^1$ and $10^2$
Multiply Coefficients: Multiply the coefficients together. $\newline$ $1 \times 4 = 4$
Multiply Power Terms: Multiply the power terms together. When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^2 = 10^{(1 + 2)} = 10^3$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $4$ $\newline$ Power term = $10^3$ $\newline$ Scientific notation: $4 \times 10^3$