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Chapter 2: Problem 22

Find the sum of the given integers. \(14+1\)

Short Answer

Expert verified
The sum of 14 and 1 is 15.

Step by step solution

01

Identify the Integers

The given integers are 14 and 1. These are the two numbers that we need to add together in the next step.
02

Perform the Addition

Add the integers together: \(14 + 1\). This involves taking the number 14 and adding 1 to it.
03

Calculate the Sum

To find the sum, simply add 1 to the last digit of 14. Since 14 plus 1 equals 15, the sum is 15.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Integer Addition
Integer addition is a fundamental concept in mathematics and one of the basic operations you will frequently use. When adding integers, you are simply adding whole numbers, which can be positive, negative, or zero. In our example, we have 14 and 1, both of which are positive integers. Here's a simple way to think about it:
  • Start with the larger number: 14 in this case.
  • Add the smaller number to it, which is 1.
  • This process is essentially counting forward.
This straightforward addition process results in a total or sum. It's important to become comfortable with integer addition as it lays the groundwork for more complex number operations.
Number Operations
Number operations encompass a variety of basic and advanced arithmetic functions, including addition, subtraction, multiplication, and division. In our scenario, we focus on addition, specifically integer addition, which involves combining two numbers to obtain a sum. Additions are the simplest form of number operations. They are often the first math concept learned and involve the following:
  • Identifying the numbers involved in the operation.
  • Aligning the numbers properly, especially in vertical addition.
  • Adding each column of digits starting from the rightmost side.
With consistent practice of operations like these, understanding other operations becomes much easier. Number operations form the foundation upon which all other mathematical concepts are built.
Step-by-Step Solutions
Step-by-step solutions break down mathematical problems into manageable, understandable pieces. They allow you to tackle problems by following a logical sequence of steps. Starting with our example of adding 14 and 1, the methodical breakdown looks like this:
  • Step 1: Identify the integers involved. Here, it's clear we have 14 and 1.
  • Step 2: Add the integers together. This is simply performing the addition \(14 + 1\).
  • Step 3: Calculate the sum and conclude that 14 + 1 = 15.
This approach not only ensures accuracy but also builds understanding, allowing you to apply similar methods to more complex problems. Employing step-by-step solutions reinforces learning and promotes deep comprehension of mathematical concepts.

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