Multiply. (2 * 10^5)(1 * 10^3) Choices: (A)2 * 10^9 (B)2 * 10^7 (C)2 * 10^13 (D)2 * 10^8

Group Terms: We have the expression (2 * 10^5)(1 * 10^3). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 1 Power terms: 10^5 and 10^3Multiply Coefficients: Multiply the coefficients together. 2 * 1 = 2Multiply Power Terms: Multiply the power terms together by adding the exponents, since the base is the same (10). 10^5 * 10^3 = 10^(5 + 3) = 10^8Combine Results: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 2 Power term = 10^8 Scientific notation: 2 * 10^8

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Multiply. $\newline$ $(2 \times 10^5)(1 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $2 \times 10^9$ $\newline$ (B) $2 \times 10^7$ $\newline$ (C) $2 \times 10^{13}$ $\newline$ (D) $2 \times 10^8$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

2 \times 10^9

\newline

(B)

2 \times 10^7

\newline

(C)

2 \times 10^{13}

\newline

(D)

2 \times 10^8

Group Terms: We have the expression $2 \times 10^5$ ( $1$ \times $10$ ^ $3$ \). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $1$ $\newline$ Power terms: $10^5$ and $10^3$
Multiply Coefficients: Multiply the coefficients together. $2 \times 1 = 2$
Multiply Power Terms: Multiply the power terms together by adding the exponents, since the base is the same $10$ . $10^5 \times 10^3 = 10^{(5 + 3)} = 10^8$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $2$ $\newline$ Power term = $10^8$ $\newline$ Scientific notation: $2 \times 10^8$