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Multiply. $\newline$ $(4 \times 10^4)(2 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $8 \times 10^8$ $\newline$ (B) $8 \times 10^9$ $\newline$ (C) $8 \times 10^0$ $\newline$ (D) $6 \times 10^8$

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Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

8 \times 10^8

\newline

(B)

8 \times 10^9

\newline

(C)

8 \times 10^0

\newline

(D)

6 \times 10^8

Group Terms: We have the expression $4 \times 10^4$ $2 \times 10^4$ . First, we need to group the coefficients $4$ and $2$ and the power terms $10^4$ and $10^4$ together.
Multiply Coefficients: Multiply the coefficients. What is $4 \times 2$ ? $\newline$ Calculation: $4 \times 2 = 8$
Combine Power Terms: Combine the power terms $10^4 \times 10^4$ . When multiplying powers with the same base, we add the exponents. $\newline$ Calculation: $10^4 \times 10^4 = 10^{4 + 4} = 10^8$
Final Scientific Notation: We found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^8$ $\newline$ Now, write the final answer in scientific notation by combining the coefficient and the power term. $\newline$ Scientific notation: $8 \times 10^8$

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