Problem 47 - Beginning and Intermediate Algebra

Question

Find each sum or product. $$ 159+12+141+88 $$

Step-by-Step Solution

Answer

The sum is 400.

Step 1: Add the first two numbers

Start by adding the first two numbers: 159 and 12. \[ 159 + 12 = 171 \]

Step 2: Add the third number

Next, add the result from Step 1 to the third number: 171 and 141. \[ 171 + 141 = 312 \]

Step 3: Add the fourth number

Finally, add the result from Step 2 to the fourth number: 312 and 88. \[ 312 + 88 = 400 \]

Key Concepts

Basic Arithmetic

Understanding basic arithmetic is the foundation for solving more complex math problems. In this exercise, we are working with addition. Knowing how to add numbers accurately is crucial.

Addition is combining two or more numbers to get a total or sum. Each of these numbers that you add together is called an addend. The result of adding these numbers is called the sum.

Let's break it down step by step: when you add 159 to 12, you start by aligning the numbers by their rightmost digits. Adding each column from right to left, if a column's sum exceeds 9, you carry over the tens digit to the next column. This principle helps in adding larger numbers accurately.

Practicing basic arithmetic by solving simple addition problems strengthens your skills for more advanced mathematics. Remember, accuracy in basic arithmetic is key to avoiding errors in complex problems later.

Sequential Addition

Sequential addition involves adding numbers in a specific, step-by-step order. This method ensures that you do not miss any numbers and helps keep your calculations organized.

In our exercise, we performed sequential addition as follows:

• First, we added 159 and 12 to get 171.
• Next, we added the result (171) to 141, making 312.
• Finally, we added 312 to 88 to reach the final sum, 400.

Sequential addition is straightforward and effective, especially when dealing with multiple numbers. It ensures that each number is accounted for and combined systematically. This method also helps in breaking down complex problems into manageable steps, making it easier to follow and understand the process.

Step-by-Step Solution

A step-by-step solution approach is ideal for understanding how to solve problems systematically. Each step in the process builds on the previous one, leading to the final solution in a clear and logical manner.

Here is the step-by-step solution for our exercise:

• Step 1: Add the first two numbers. Add 159 and 12. \[ 159 + 12 = 171 \]
  
• Step 2: Add the third number. Add the result from Step 1 (171) to 141. \[ 171 + 141 = 312 \]
  
• Step 3: Add the fourth number. Add the result from Step 2 (312) to 88. \[ 312 + 88 = 400 \]

The step-by-step solution method allows you to focus on one small part of the problem at a time. This reduces the chances of making mistakes and helps in understanding the flow of the solution. Each step's simplicity ensures that even complex problems become manageable. Remember, practice and patience are key. Taking it one step at a time will eventually make you comfortable with such problems.