Multiply. (2 * 10^2)(3 * 10^4) Choices: (A)6 * 10^3 (B)6 * 10^9 (C)6 * 10^0 (D)6 * 10^6

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

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Multiply. $\newline$ $(2 \times 10^2)(3 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^3$ $\newline$ (B) $6 \times 10^9$ $\newline$ (C) $6 \times 10^0$ $\newline$ (D) $6 \times 10^6$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

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Choices:

\newline

(A)

6 \times 10^3

\newline

(B)

6 \times 10^9

\newline

(C)

6 \times 10^0

\newline

(D)

6 \times 10^6

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