Multiply. (2 * 10^1)(4 * 10^5) Choices: (A)6 * 10^6 (B)8 * 10^7 (C)6 * 10^7 (D)8 * 10^6

Identify Coefficients and Power Terms: We have: (2 × 10^1)(4 × 10^5) Group the coefficients and power terms together. Coefficients: 2 and 4 Power terms: 10^1 and 10^5Multiply Coefficients: What is 2 × 4? Multiply the coefficients. 2 × 4 = 8Combine Power Terms: Write 10^1 × 10^5 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^1 × 10^5 = 10^(1 + 5) = 10^6Final Scientific Notation: We found: Coefficient = 8 Power term = 10^6 Write the final answer in scientific notation. Substitute 8 for a and 6 for b in a × 10^b. Scientific notation: 8 × 10^6

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Multiply. $\newline$ $(2 \times 10^1)(4 \times 10^5)$ $\newline$ Choices: $\newline$ (A) $6 \times 10^6$ $\newline$ (B) $8 \times 10^7$ $\newline$ (C) $6 \times 10^7$ $\newline$ (D) $8 \times 10^6$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^1)(4 \times 10^5)

\newline

Choices:

\newline

(A)

6 \times 10^6

\newline

(B)

8 \times 10^7

\newline

(C)

6 \times 10^7

\newline

(D)

8 \times 10^6

Identify Coefficients and Power Terms: We have: $\newline$ $(2 \times 10^1)(4 \times 10^5)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $2$ and $4$ $\newline$ Power terms: $10^1$ and $10^5$
Multiply Coefficients: What is $2 \times 4$ ? Multiply the coefficients. $\newline$ $2 \times 4 = 8$
Combine Power Terms: Write $10^1 \times 10^5$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^1 \times 10^5$ $\newline$ = $10^{1 + 5}$ $\newline$ = $10^6$
Final Scientific Notation: We found: $\newline$ Coefficient = $8$ $\newline$ Power term = $10^6$ $\newline$ Write the final answer in scientific notation. Substitute $8$ for $a$ and $6$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $8 \times 10^6$