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

Identify numbers: Identify the numbers to be multiplied. We have: (3 × 10^3)(2 × 10^4) Group the coefficients and power terms together. Coefficients: 3 and 2 Power terms: 10^3 and 10^4Group coefficients and powers: Multiply the coefficients. Calculate 3 × 2. 3 × 2 = 6Multiply coefficients: Multiply the power terms. Write 10^3 × 10^4 as a single power of 10. When multiplying powers with the same base, we add the exponents. 10^3 × 10^4 = 10^(3 + 4) = 10^7Multiply power terms: Combine the results from Step 2 and Step 3. Coefficient = 6 Power term = 10^7 Write the final answer in scientific notation. 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. $\newline$ $(3 \times 10^3)(2 \times 10^4)$ $\newline$ ______

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

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

\newline

______

Identify numbers: Identify the numbers to be multiplied. $\newline$ We have: $3 \times 10^3$ ( $2$ \times $10$ ^ $4$ \) $\newline$ Group the coefficients and power terms together. $\newline$ Coefficients: $3$ and $2$ $\newline$ Power terms: $10^3$ and $10^4$
Group coefficients and powers: Multiply the coefficients. $\newline$ Calculate $3 \times 2$ . $\newline$ $3 \times 2 = 6$
Multiply coefficients: Multiply the power terms. $\newline$ Write $10^3 \times 10^4$ as a single power of $10$ . When multiplying powers with the same base, we add the exponents. $\newline$ $10^3 \times 10^4$ $\newline$ $= 10^{3 + 4}$ $\newline$ $= 10^7$
Multiply power terms: Combine the results from Step $2$ and Step $3$ . $\newline$ Coefficient = $6$ $\newline$ Power term = $10^7$ $\newline$ Write the final answer in scientific notation. $\newline$ Scientific notation: $6 \times 10^7$