Multiply. (8 * 10^1)(1 * 10^5) Choices: (A)6 * 10^6 (B)8 * 10^6 (C)6 * 10^5 (D)8 * 10^5

Group Coefficients and Powers: We have the expression (8 * 10^1)(1 * 10^5). First, we group the coefficients and power terms together. Coefficients: 8 and 1 Power terms: 10^1 and 10^5Multiply Coefficients: Multiply the coefficients. What is 8 × 1? 8 × 1 = 8Combine Power Terms: Combine the power terms 10^1 × 10^5 into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^1 × 10^5 = 10^(1 + 5) = 10^6Write Final Answer: We found: Coefficient = 8 Power term = 10^6 Now, write the final answer in scientific notation by substituting 8 for the coefficient and 6 for the exponent. Scientific notation: 8 × 10^6

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Multiply. $\newline$ $(8 \times 10^1)(1 \times 10^5)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^6$ $\newline$ (B) $8 \times 10^6$ $\newline$ (C) $6 \times 10^5$ $\newline$ (D) $8 \times 10^5$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

6 \times 10^6

\newline

(B)

8 \times 10^6

\newline

(C)

6 \times 10^5

\newline

(D)

8 \times 10^5

Group Coefficients and Powers: We have the expression $8 \times 10^1$ ( $1$ \times $10$ ^ $5$ ). First, we group the coefficients and power terms together. Coefficients: $8$ and $1$ Power terms: $10^1$ and $10^5$
Multiply Coefficients: Multiply the coefficients. What is $8 \times 1$ ? $\newline$ $8 \times 1 = 8$
Combine Power Terms: Combine the power terms $10^1 \times 10^5$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^5 = 10^{(1 + 5)} = 10^6$
Write Final Answer: We 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: $8 \times 10^6$