Multiply. (2 * 10^5)(4 * 10^1) Choices: (A)8 * 10^5 (B)8 * 10^4 (C)8 * 10^2 (D)8 * 10^6

Group Coefficients and Powers: We have the expression (2 * 10^5)(4 * 10^1). First, we need to group the coefficients and the power terms together. Coefficients: 2 and 4 Power terms: 10^5 and 10^1Multiply Coefficients: Multiply the coefficients together. What is 2 × 4? 2 × 4 = 8Combine Power Terms: Combine the power terms 10^5 and 10^1 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 in Scientific Notation: We have found the coefficient to be 8 and the power term to be 10^6. Now, we write the final answer in scientific notation by combining the coefficient and the power term. Scientific notation: 8 × 10^6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. $\newline$ $(2 \times 10^5)(4 \times 10^1)$ $\newline$ Choices: $\newline$ (A) $8 \times 10^5$ $\newline$ (B) $8 \times 10^4$ $\newline$ (C) $8 \times 10^2$ $\newline$ (D) $8 \times 10^6$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply numbers written in scientific notation

Full solution

Q. Multiply.

\newline

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

\newline

Choices:

\newline

(A)

8 \times 10^5

\newline

(B)

8 \times 10^4

\newline

(C)

8 \times 10^2

\newline

(D)

8 \times 10^6

Group Coefficients and Powers: We have the expression $2 \times 10^5$ ( $4$ \times $10$ ^ $1$ \). First, we need to group the coefficients and the power terms together. $\newline$ Coefficients: $2$ and $4$ $\newline$ Power terms: $10^5$ and $10^1$
Multiply Coefficients: Multiply the coefficients together. What is $2 \times 4$ ? $\newline$ $2 \times 4 = 8$
Combine Power Terms: Combine the power terms $10^5$ and $10^1$ into a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^1$ $\newline$ = $10^{5 + 1}$ $\newline$ = $10^6$
Write in Scientific Notation: We have found the coefficient to be $8$ and the power term to be $10^6$ . Now, we write the final answer in scientific notation by combining the coefficient and the power term. $\newline$ Scientific notation: $8 \times 10^6$