Problem 109 - Fundamentals of Mathematics

Question

(Section 1.5) Find the sum of \(22,42,\) and 101 .

Step-by-Step Solution

Answer

The sum is 165.

Step 1: Understand the Problem

We need to find the total when three numbers, 22, 42, and 101, are added together. This requires adding the numbers to find their sum.

Step 2: Add the First Two Numbers

Start by adding the first two numbers. Add 22 and 42 using the equation: \( 22 + 42 \). This results in 64.

Step 3: Add the Result to the Third Number

Now, take the result from the previous step and add it to the third number, 101. Use the equation: \( 64 + 101 \). This addition gives us a total of 165.

Step 4: Conclude the Solution

After completing the addition, we find that the sum of 22, 42, and 101 is 165.

Key Concepts

Problem-Solving

When faced with a problem like finding the sum of a set of numbers, the key first step is understanding what the problem is asking. In this exercise, we need to find the total sum of three numbers: 22, 42, and 101.
To tackle problems effectively, it's crucial to break them down into smaller, manageable parts. This makes the task less daunting and more straightforward. Begin by focusing on the task of identifying what numbers need to be added and in what sequence.
Following a methodical approach:

• Clearly define the goals of the problem.
• Identify all necessary components required for a solution.
• Perform the calculations in a logical order.
• Double-check each step to verify accuracy.

Applying these steps not only helps in solving the problem at hand but also builds skills that can be applied to more complex mathematical challenges.

Mathematics

Mathematics is more than just numbers and equations; it's a way of thinking and understanding the world. In this problem, the concept of addition is a fundamental mathematical operation.
By understanding how addition fits into mathematics as a whole, students can start to see patterns and relationships between numbers. Mathematics allows us to represent real-world situations in a structured manner, providing solutions through logical processes.
When you approach a math problem:

• Start by considering the operations involved.
• Visualize the numbers using diagrams or even physical objects.
• Relate the problem to real-life situations for better understanding.

Through mathematics, what might initially seem like an abstract concept can become clear and engaging when approached with the right strategies and mindset.

Arithmetic Operations

Arithmetic operations form the basis of all mathematics. These operations include addition, subtraction, multiplication, and division. They are the building blocks that help us solve a variety of problems every day.
In the context of this problem, addition is the operation used to find the total of the numbers given. Addition involves combining numbers to find a sum, which is a simple yet powerful tool for calculations.
Consider these simple steps in performing addition:

• Start with the first two numbers: calculate their sum.
• Take the result and add it to the next number.
• Repeat this process until all numbers are added.

Practicing these steps regularly will increase speed and accuracy. Whether it's adding numbers on a grocery list or calculating a bill, understanding arithmetic operations is essential for everyday life.