Multiply. Write your answer in scientific notation. (4 * 10^1)(2 * 10^1) ______

Group Coefficients and Powers: We have the expression (4 * 10^1)(2 * 10^1). First, we need to group the coefficients and the power terms together. Coefficients: 4 and 2 Power terms: 10^1 and 10^1Multiply Coefficients: Multiply the coefficients together. What is 4 × 2? Calculation: 4 × 2 = 8Combine Power Terms: Combine the power terms 10^1 × 10^1 into a single power of 10. When multiplying powers with the same base, we add the exponents. Calculation: 10^1 × 10^1 = 10^(1 + 1) = 10^2Write in Scientific Notation: We have found the coefficient to be 8 and the power term to be 10^2. Now, we write the final answer in scientific notation by substituting 8 for the coefficient a and 2 for the exponent b in the form a × 10^b. Scientific notation: 8 × 10^2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Multiply. Write your answer in scientific notation. $\newline$ $(4 \times 10^1)(2 \times 10^1)$ $\newline$ ______

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

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

\newline

______

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