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Multiply. Write your answer in scientific notation. $\newline$ $(2 \times 10^3)(4 \times 10^3)$ $\newline$ ______

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Multiply numbers written in scientific notation

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Q. Multiply. Write your answer in scientific notation.

\newline

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

\newline

______

Group Terms: We have the expression $2 \times 10^3)\$4 \times 10^3$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $4$ $\newline$ Power terms: $10^3$ and $10^3$
Multiply Coefficients: Multiply the coefficients together. What is $2 \times 4$ ? $\newline$ $2 \times 4 = 8$
Combine Power Terms: Combine the power terms $10^3 \times 10^3$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^3$ $\newline$ $= 10^{3 + 3}$ $\newline$ $= 10^6$
Final Answer in Scientific Notation: We have found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^6$ $\newline$ Now, write the final answer in scientific notation by substituting $8$ for the coefficient and $6$ for the exponent. $\newline$ Scientific notation: $8 \times 10^6$

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