Multiply. (3 * 10^3)(1 * 10^5) Choices: (A)7 * 10^8 (B)4 * 10^8 (C)3 * 10^15 (D)3 * 10^8

Group Terms: We have the expression (3 * 10^3)(1 * 10^5). First, we need to group the coefficients and the power terms together. Coefficients: 3 and 1 Power terms: 10^3 and 10^5Multiply Coefficients: Multiply the coefficients together. What is 3 * 1? 3 * 1 = 3Combine Power Terms: Combine the power terms 10^3 * 10^5 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 * 10^5 = 10^(3 + 5) = 10^8Write in Scientific Notation: We have found the coefficient to be 3 and the power term to be 10^8. Now, we write the final answer in scientific notation by substituting 3 for the coefficient and 8 for the exponent. Scientific notation: 3 * 10^8

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Multiply. $\newline$ $(3 \times 10^3)(1 \times 10^5)$ $\newline$ Choices: $\newline$ (A) $7 \times 10^8$ $\newline$ (B) $4 \times 10^8$ $\newline$ (C) $3 \times 10^{15}$ $\newline$ (D) $3 \times 10^8$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^3)(1 \times 10^5)

\newline

Choices:

\newline

(A)

7 \times 10^8

\newline

(B)

4 \times 10^8

\newline

(C)

3 \times 10^{15}

\newline

(D)

3 \times 10^8

Group Terms: We have the expression $3 \times 10^3$ $(1 \times 10^5)$ . First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $3$ and $1$ $\newline$ Power terms: $10^3$ and $10^5$
Multiply Coefficients: Multiply the coefficients together. What is $3 \times 1$ ? $\newline$ $3 \times 1 = 3$
Combine Power Terms: Combine the power terms $10^3 \times 10^5$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^5 = 10^{3 + 5} = 10^8$
Write in Scientific Notation: We have found the coefficient to be $3$ and the power term to be $10^8$ . Now, we write the final answer in scientific notation by substituting $3$ for the coefficient and $8$ for the exponent. $\newline$ Scientific notation: $3 \times 10^8$