Problem 52 - Fundamentals of Mathematics

Question

A person borrows $$\$ 7$$ on Monday and then $$\$ 12$$ on Tuesday. How much has this person borrowed?

Step-by-Step Solution

Answer

The person borrowed a total of $19.

Step 1: Understand the Problem

We need to calculate the total amount borrowed by adding the amounts borrowed on Monday and Tuesday.

Step 2: Identify Borrowed Amounts

On Monday, the person borrowed \( \\(7 \). On Tuesday, the person borrowed \( \\)12 \).

Step 3: Add the Borrowed Amounts

Add the amounts borrowed on the two days: \( 7 + 12 \).

Step 4: Calculate the Total Amount

Perform the addition: \( 7 + 12 = 19 \).

Key Concepts

Understanding Basic Arithmetic

Basic arithmetic forms the foundation for most mathematical applications. It consists of operations like addition, subtraction, multiplication, and division.
Each of these operations helps us perform calculations and solve everyday problems. In our problem, the primary focus is on addition.

• Addition: It combines two or more numbers to arrive at a total sum. When we add numbers, we are essentially finding out how much we have in total.
• Example: If you have 3 apples and someone gives you 2 more, you use addition to find out you now have 5 apples in total.

Understanding these basic operations is essential for problem solving in mathematics and real-life scenarios. In the given exercise, understanding how to add the amounts borrowed provides clarity on the total money borrowed.

Problem Solving in Mathematics

Problem solving in mathematics is like piecing together a puzzle. It involves understanding the problem, organizing information, and determining the best method to reach a solution. Let's look at how this applies to our original exercise.

• Understanding the Problem: Identify what is being asked. In this case, we need to calculate the total borrowed amount.
• Organizing Information: Break down the details you have. Here, it's the amount borrowed on each day—Monday and Tuesday.
• Applying a Method: Use the correct operation (addition, in this case) to find the solution. We add \(7\) and \(12\) to find the total.
• Checking Your Work: Ensure that your solution makes sense in context. The total amount borrowed is indeed the sum of the amounts from both days.

This structured approach helps in effectively tackling not just mathematical problems but also everyday challenges.

Exploring Mathematical Operations

Mathematical operations are like tools that help us manipulate numbers to get results. Let's explore how they work, focusing on addition as it relates to our problem.

• Operation as a Tool: Each mathematical operation has a specific function. Addition helps increase a quantity by combining numbers.
• Using Addition: In our exercise, we are using addition to combine the borrowed amounts from two days. This shows how we can merge quantities to find a total amount.
• Why It Matters: Understanding how to use these operations not only helps in academic settings but also in managing daily tasks like budgeting, shopping, or planning.
• Practice Makes Perfect: The more you practice using these operations, the more innate they become, making it easier to tackle complex problems.

By consistently practicing mathematical operations, you develop a strong foundation that aids in problem solving across various subjects and life situations.