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

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

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

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

4 \times 10^4

\newline

(B)

3 \times 10^4

\newline

(C)

3 \times 10^3

\newline

(D)

4 \times 10^3

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