Multiply. (3 * 10^4)(3 * 10^4) Choices: (A)5 * 10^8 (B)5 * 10^7 (C)9 * 10^7 (D)9 * 10^8

Identify Coefficients and Power Terms: We have: (3 × 10^4)(3 × 10^4) Group the coefficients and power terms together. Coefficients: 3 and 3 Power terms: 10^4 and 10^4 Multiply Coefficients: What is 3 × 3? Multiply the coefficients. 3 × 3 = 9 Combine Power Terms: Write 10^4 × 10^4 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^4 = 10^(4 + 4) = 10^8 Final Answer in Scientific Notation: We found: Coefficient = 9 Power term = 10^8 Write the final answer in scientific notation. Substitute 9 for the coefficient and 8 for the exponent in a × 10^b. Scientific notation: 9 × 10^8

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Multiply. $\newline$ $(3 \times 10^4)(3 \times 10^4)$ $\newline$ Choices: $\newline$ (A) $5 \times 10^8$ $\newline$ (B) $5 \times 10^7$ $\newline$ (C) $9 \times 10^7$ $\newline$ (D) $9 \times 10^8$

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Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(3 \times 10^4)(3 \times 10^4)

\newline

Choices:

\newline

(A)

5 \times 10^8

\newline

(B)

5 \times 10^7

\newline

(C)

9 \times 10^7

\newline

(D)

9 \times 10^8

Identify Coefficients and Power Terms: We have: $\newline$ $(3 \times 10^4)(3 \times 10^4)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $3$ $\newline$ Power terms: $10^4$ and $10^4$
Multiply Coefficients: What is $3 \times 3$ ? Multiply the coefficients. $\newline$ $3 \times 3 = 9$
Combine Power Terms: Write $10^4 \times 10^4$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^4$ $\newline$ $= 10^{4 + 4}$ $\newline$ $= 10^8$
Final Answer in Scientific Notation: We found: $\newline$ Coefficient = $9$ $\newline$ Power term = $10^8$ $\newline$ Write the final answer in scientific notation. Substitute $9$ for the coefficient and $8$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $9 \times 10^8$