Multiply. Write your answer in scientific notation. (2 * 10^5)(2 * 10^1) ______

Identify Components: Identify the components of the multiplication problem. We have: (2 × 10^5)(2 × 10^1) Group the coefficients and power terms together. Coefficients: 2 and 2 Power terms: 10^5 and 10^1Multiply Coefficients: Multiply the coefficients. What is 2 × 2? 2 × 2 = 4Combine Power Terms: Combine the power terms into a single power of 10. When multiplying powers with the same base, we add the exponents. 10^5 × 10^1 = 10^(5 + 1) = 10^6Write Final Answer: Combine the results from Step 2 and Step 3 to write the final answer in scientific notation. Coefficient = 4 Power term = 10^6 Scientific notation: 4 × 10^6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in scientific notation. $\newline$ $(2 \times 10^5)(2 \times 10^1)$ $\newline$ ______

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

\newline

______

Identify Components: Identify the components of the multiplication problem. $\newline$ We have: $2 \times 10^5$ ( $2$ \times $10$ ^ $1$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $2$ and $2$ $\newline$ Power terms: $10^5$ and $10^1$
Multiply Coefficients: Multiply the coefficients. $\newline$ What is $2 \times 2$ ? $\newline$ $2 \times 2 = 4$
Combine Power Terms: Combine the power terms into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $10^5 \times 10^1 = 10^{5 + 1} = 10^6$
Write Final Answer: Combine the results from Step $2$ and Step $3$ to write the final answer in scientific notation. $\newline$ Coefficient = $4$ $\newline$ Power term = $10^6$ $\newline$ Scientific notation: $4 \times 10^6$