Problem 123 - Prealgebra

Question

Apartment size Jackson lives in a 7 room apartment. The number of square feet in each room is 238, 120, 156, 196, 100, 132, and 225. What is the total number of square feet in all 7 rooms?

Step-by-Step Solution

Answer

The total number of square feet in all 7 rooms is 1167.

Step 1 - List the Room Sizes

Identify and list the square footage of each room: 238, 120, 156, 196, 100, 132, and 225.

Step 2 - Set Up the Addition

Prepare to add these numbers together: 238 + 120 + 156 + 196 + 100 + 132 + 225

Step 3 - Perform the Addition

Add the numbers together step by step: 238 + 120 = 358 358 + 156 = 514 514 + 196 = 710 710 + 100 = 810 810 + 132 = 942 942 + 225 = 1167

Step 4 - Verify the Calculation

Double-check the addition to ensure it is correct. The total square footage is confirmed to be 1167.

Key Concepts

Addition

Addition is one of the fundamental operations in math. It involves combining two or more numbers to get a total sum. For example, in the context of our exercise, we need to add the square footage of different rooms in Jackson's apartment to find the total square footage.

Here's a quick breakdown:

• You start with the first number (238).
• Then, you add the second number (120) to it.
• Continue this process until all numbers are added.

The role of addition in this problem is to simply combine all the individual areas to get the overall area of the apartment. This method is straightforward but requires careful attention to detail to avoid mistakes.

Step-by-Step Solutions

By following a step-by-step solution, we break down the problem into smaller parts, making it easier to solve. For our word problem, here’s how we can summarize the step-by-step approach:

**Step 1: List and Identify the Numbers**
List the square footage of each room: 238, 120, 156, 196, 100, 132, and 225.

**Step 2: Set Up the Addition**
Write down the numbers prepared for addition: 238 + 120 + 156 + 196 + 100 + 132 + 225.

**Step 3: Perform the Addition**
Add the numbers step by step:

• 238 + 120 = 358
• 358 + 156 = 514
• 514 + 196 = 710
• 710 + 100 = 810
• 810 + 132 = 942
• 942 + 225 = 1167

This ensures that each part of the addition is accurate and that we can easily verify each step.

Verification of Calculations

Verification is an essential part of solving math problems. It ensures that the calculated result is accurate and free of errors. In this exercise, we also need to verify our addition to confirm that the total square footage is 1167.

Here’s a simple process to verify the calculation:

• Recheck each individual addition step to ensure no numbers were added incorrectly.
• Sometimes, redoing the addition from scratch can help find any mistakes made initially.
• Alternatively, using a calculator or another person to double-check your work can be a good verification method.

In this way, we are confident that the sum of 1167 square feet is accurate. Verification helps avoid errors and confirms that our addition has been performed correctly.