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

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

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

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

4 \times 10^5

\newline

(B)

2 \times 10^6

\newline

(C)

2 \times 10^5

\newline

(D)

4 \times 10^6

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