Multiply. Write your answer in scientific notation. (1 * 10^5)(4 * 10^1)

Group Coefficients and Powers: We have: (1 × 10^5)(4 × 10^1) Group the coefficients and power terms together. Coefficients: 1 and 4 Power terms: 10^5 and 10^1Multiply Coefficients: What is 1 × 4? Multiply the coefficients. 1 × 4 = 4Combine Power Terms: Write 10^5 × 10^1 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^5 × 10^1 = 10^(5 + 1) = 10^6Final Scientific Notation: We found: Coefficient = 4 Power term = 10^6 Write the final answer in scientific notation. Substitute 4 for a and 6 for b in a × 10^b. 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. $\newline$ $(1 \times 10^5)(4 \times 10^1)$

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

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

Group Coefficients and Powers: We have: $\newline$ $(1 \times 10^5)(4 \times 10^1)$ $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $1$ and $4$ $\newline$ Power terms: $10^5$ and $10^1$
Multiply Coefficients: What is $1 \times 4$ ? Multiply the coefficients. $\newline$ $1 \times 4 = 4$
Combine Power Terms: Write $10^5 \times 10^1$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^5 \times 10^1$ $\newline$ $= 10^{5 + 1}$ $\newline$ $= 10^6$
Final Scientific Notation: We found: $\newline$ Coefficient = $4$ $\newline$ Power term = $10^6$ $\newline$ Write the final answer in scientific notation. Substitute $4$ for $a$ and $6$ for $b$ in $a \times 10^b$ . $\newline$ Scientific notation: $4 \times 10^6$