https://file.aiquickdraw.com/mathbot/file/1726144498418toi0y42e.jpg

The problem asks to find the area of a rectangular playground with the length and width given in scientific notation.

Given:
- Length = \(1 \times 10^3 \, \text{m}\)
- Width = \(3 \times 10^2 \, \text{m}\)

The area \(A\) of a rectangle is calculated as:

\[
A = \text{Length} \times \text{Width}
\]

Substituting the values:

\[
A = (1 \times 10^3) \times (3 \times 10^2)
\]

Using the laws of exponents:

\[
A = 1 \times 3 \times 10^{3+2} = 3 \times 10^5 \, \text{m}^2
\]

Thus, the area of the playground is \(3 \times 10^5 \, \text{m}^2\) in scientific notation.

Would you like a more detailed explanation? Here are five related questions for further practice:

1. If the length was \(2 \times 10^3\) meters, what would the area be in scientific notation?
2. How would you express an area of \(5 \times 10^6\) square meters in decimal form?
3. What are the steps to multiply two numbers in scientific notation?
4. How would you calculate the perimeter of the same rectangular playground?
5. If the playground's width doubled, what would the new area be?

**Tip**: When multiplying values in scientific notation, remember to multiply the coefficients and add the exponents!

The length and the width of a rectangular playground are 1 × 10^3 m and 3 × 10^2 m respectively. Find the area of the playground. Give your answer in scientific notation.

Learn how to calculate the area of a rectangular playground with dimensions 1 × 10^3 meters and 3 × 10^2 meters. This step-by-step solution explains the use of scientific notation and the laws of exponents, perfect for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation