Multiply. (1 * 10^5)(4 * 10^4) Choices: (A)4 * 10^9 (B)3 * 10^9 (C)8 * 10^9 (D)2 * 10^9

Group Coefficients and Power Terms: We have: (1 × 10^5)(4 × 10^4) Group the coefficients and power terms together. Coefficients: 1 and 4 Power terms: 10^5 and 10^4Multiply Coefficients: What is 1 × 4? Multiply the coefficients. 1 × 4 = 4Combine Power Terms: Write 10^5 × 10^4 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^5 × 10^4 = 10^(5 + 4) = 10^9Write Final Answer: We found: Coefficient = 4 Power term = 10^9 Write the final answer in scientific notation. Substitute 4 for a and 9 for b in a × 10^b. Scientific notation: 4 × 10^9

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Multiply. $\newline$ $(1 \times 10^5)(4 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $4 \times 10^9$ $\newline$ (B) $3 \times 10^9$ $\newline$ (C) $8 \times 10^9$ $\newline$ (D) $2 \times 10^9$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

4 \times 10^9

\newline

(B)

3 \times 10^9

\newline

(C)

8 \times 10^9

\newline

(D)

2 \times 10^9

Group Coefficients and Power Terms: We have: $\newline$ $(1 \times 10^5)(4 \times 10^4)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $4$ $\newline$ Power terms: $10^5$ and $10^4$
Multiply Coefficients: What is $1 \times 4$ ? Multiply the coefficients. $\newline$ $1 \times 4 = 4$
Combine Power Terms: Write $10^5 \times 10^4$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^4$ $\newline$ $= 10^{5 + 4}$ $\newline$ $= 10^9$
Write Final Answer: We found: $\newline$ Coefficient = $4$ $\newline$ Power term = $10^9$ $\newline$ Write the final answer in scientific notation. Substitute $4$ for $a$ and $9$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $4 \times 10^9$