Multiply. (2 * 10^4)(2 * 10^3) Choices: (A)1 * 10^7 (B)4 * 10^12 (C)1 * 10^12 (D)4 * 10^7

Identify Coefficients and Power Terms: We have: (2 × 10^4)(2 × 10^3) Group the coefficients and power terms together. Coefficients: 2 and 2 Power terms: 10^4 and 10^3 Multiply Coefficients: What is 2 × 2? Multiply the coefficients. 2 × 2 = 4 Combine Power Terms: Write 10^4 × 10^3 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^4 × 10^3 = 10^(4 + 3) = 10^7 Write Final Answer in Scientific Notation: We found: Coefficient = 4 Power term = 10^7 Write the final answer in scientific notation. Substitute 4 for the coefficient and 7 for the exponent in a × 10^b. Scientific notation: 4 × 10^7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(2 \times 10^4)(2 \times 10^3)$ $\newline$ Choices: $\newline$ (A) $1 \times 10^7$ $\newline$ (B) $4 \times 10^{12}$ $\newline$ (C) $1 \times 10^{12}$ $\newline$ (D) $4 \times 10^7$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

(2 \times 10^4)(2 \times 10^3)

\newline

Choices:

\newline

(A)

1 \times 10^7

\newline

(B)

4 \times 10^{12}

\newline

(C)

1 \times 10^{12}

\newline

(D)

4 \times 10^7

Identify Coefficients and Power Terms: We have: $\newline$ $(2 \times 10^4)(2 \times 10^3)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $2$ and $2$ $\newline$ Power terms: $10^4$ and $10^3$
Multiply Coefficients: What is $2 \times 2$ ? Multiply the coefficients. $\newline$ $2 \times 2 = 4$
Combine Power Terms: Write $10^4 \times 10^3$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^4 \times 10^3$ $\newline$ $= 10^{4 + 3}$ $\newline$ $= 10^7$
Write Final Answer in Scientific Notation: We found: $\newline$ Coefficient = $4$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. Substitute $4$ for the coefficient and $7$ for the exponent in $a \times 10^b$ . $\newline$ Scientific notation: $4 \times 10^7$