Problem 48 - Beginning and Intermediate Algebra

Question

Find each sum or product. $$ 106+8+14+72 $$

Step-by-Step Solution

Answer

200

Step 1 - Identify the numbers to be added

The problem provides the following numbers: 106, 8, 14, and 72. These are the numbers that need to be summed.

Step 2 - Add the first two numbers

First, add 106 and 8 together. \[ 106 + 8 = 114 \]

Step 3 - Add the third number

Next, take the result from Step 2 and add 14 to it. \[ 114 + 14 = 128 \]

Step 4 - Add the last number

Finally, add 72 to the result from Step 3. \[ 128 + 72 = 200 \]

Key Concepts

Basic Arithmetic Operations

Arithmetic operations are the foundation of mathematics. Understanding these operations helps solve various problems quickly and accurately.
One of the fundamental operations in arithmetic is addition. Addition combines two or more numbers to get a single sum. In algebra, we often combine integers to find a total.
The four basic arithmetic operations include:

• Addition: Adding numbers together.
• Subtraction: Taking one number away from another.
• Multiplication: Combining equal groups of numbers.
• Division: Splitting a number into equal parts.

By mastering these operations, you can solve more complex problems with ease.

Step-by-Step Problem Solving

Breaking down problems into step-by-step solutions makes them easier to understand and solve. In the given exercise, we follow four steps:
Step 1 - Identify the numbers to be added: The problem gives us the numbers 106, 8, 14, and 72. We need to sum these numbers.
Step 2 - Add the first two numbers: Start by adding 106 and 8.
\[ 106 + 8 = 114 \]
Step 3 - Add the third number: Next, take the sum from Step 2 (which is 114) and add 14.
\[ 114 + 14 = 128 \]
Step 4 - Add the last number: Finally, add 72 to the result from Step 3 (which is 128).
\[ 128 + 72 = 200 \]
This structured approach simplifies complex problems and ensures accuracy.

Addition of Integers

Adding integers is a crucial skill in algebra and everyday life. An integer is any whole number, positive or negative, including zero.
In the given exercise, we add the integers 106, 8, 14, and 72.
To find the sum, follow these steps:

• Start with the first two numbers: \[ 106 + 8 = 114 \]
• Add the third number to the result: \[ 114 + 14 = 128 \]
• Finally, add the last number: \[ 128 + 72 = 200 \]

This gives a final sum of 200.
Understanding how to add integers helps in solving algebraic problems and improves your number sense.