Multiply. (7 * 10^1)(1 * 10^1) Choices: (A)7 * 10^2 (B)7 * 10^7 (C)7 * 10^4 (D)7 * 10^5

Group Coefficients and Powers: We have the expression: (7 × 10^1)(1 × 10^1) First, group the coefficients and power terms together. Coefficients: 7 and 1 Power terms: 10^1 and 10^1Multiply Coefficients: What is 7 × 1? Multiply the coefficients. 7 × 1 = 7Combine Power Terms: Write 10^1 × 10^1 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^1 × 10^1 = 10^(1 + 1) = 10^2Write in Scientific Notation: We found: Coefficient = 7 Power term = 10^2 Write the final answer in scientific notation. Substitute 7 for the coefficient and 2 for the exponent in a × 10^b. Scientific notation: 7 × 10^2

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Multiply. $\newline$ $(7 \times 10^1)(1 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $7 \times 10^2$ $\newline$ (B) $7 \times 10^7$ $\newline$ (C) $7 \times 10^4$ $\newline$ (D) $7 \times 10^5$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(7 \times 10^1)(1 \times 10^1)

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Choices:

\newline

(A)

7 \times 10^2

\newline

(B)

7 \times 10^7

\newline

(C)

7 \times 10^4

\newline

(D)

7 \times 10^5

Group Coefficients and Powers: We have the expression: $\newline$ $(7 \times 10^1)(1 \times 10^1)$ $\newline$ First, group the coefficients and power terms together. $\newline$ Coefficients: $7$ and $1$ $\newline$ Power terms: $10^1$ and $10^1$
Multiply Coefficients: What is $7 \times 1$ ? Multiply the coefficients. $\newline$ $7 \times 1 = 7$
Combine Power Terms: Write $10^1 \times 10^1$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^1$ $\newline$ $= 10^{(1 + 1)}$ $\newline$ $= 10^2$
Write in Scientific Notation: We found: $\newline$ Coefficient = $7$ $\newline$ Power term = $10^2$ $\newline$ Write the final answer in scientific notation. Substitute $7$ for the coefficient and $2$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $7 \times 10^2$