Multiply. Write your answer in scientific notation. (2 * 10^3)(3 * 10^4) ______

Identify Components: Identify the components of the multiplication problem. We have: (2 * 10^3)(3 * 10^4) Group the coefficients and power terms together. Coefficients: 2 and 3 Power terms: 10^3 and 10^4Multiply Coefficients: Multiply the coefficients. What is 2 × 3? Multiply the coefficients. 2 × 3 = 6Combine Power Terms: Combine the power terms into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^4 = 10^(3 + 4) = 10^7Write Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 6 Power term = 10^7 Scientific notation: 6 × 10^7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in scientific notation. $\newline$ $(2 \times 10^3)(3 \times 10^4)$ $\newline$ ______

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply. Write your answer in scientific notation.

\newline

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

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $2 \times 10^3$ ( $3$ \times $10$ ^ $4$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $2$ and $3$ $\newline$ Power terms: $10^3$ and $10^4$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $2 \times 3$ ? Multiply the coefficients. $\newline$ $2 \times 3 = 6$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $10^3 \times 10^4 = 10^{3 + 4} = 10^7$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $6$ $\newline$ Power term = $10^7$ $\newline$ Scientific notation: $6 \times 10^7$