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Chapter 1: Problem 4

Find each of the following sums. $$2+8+3$$

Short Answer

Expert verified
The sum is 13.

Step by step solution

01

Add the First Two Numbers

Start by adding the first two numbers given in the sum. We have 2 + 8. Calculate this addition:\[ 2 + 8 = 10 \]
02

Add the Result to the Third Number

Now take the result from Step 1 and add the third number to it. So, we need to add 10 and 3:\[ 10 + 3 = 13 \]

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Key Concepts

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

Step-by-Step Solution
When solving a math problem, breaking it down into smaller, more manageable steps can be incredibly helpful. This is known as a step-by-step solution approach. Let's see how this method works using our example.
It starts with the first step: adding the first two numbers. We take them one at a time to simplify the process. For instance, we add 2 and 8 to get 10.
The next step is to take the result of the previous calculation, which is 10, and add it to the last number, 3.
By breaking down the problem this way, it becomes more manageable to arrive at the final answer of 13.
This technique ensures clarity and accuracy, minimizing the chance of mistakes.
Basic Math Concepts
In arithmetic, addition is one of the fundamental operations. It involves combining numbers to determine their total.
This process relies heavily on certain basic concepts:
  • Commutative Property: This property states that changing the order of the numbers does not change the sum. Thus, 2 + 8 is the same as 8 + 2.
  • Associative Property: When three or more numbers are added, the way the numbers are grouped does not affect the sum. So, you can add 2 + 8 and then add 3, or you can add 8 + 3 first and then 2.
  • Identity Property: Any number plus zero equals the original number. This might not seem relevant here, but it's crucial for understanding how numbers behave.
Understanding these principles makes performing arithmetic operations smoother and enhances problem-solving skills.
Prealgebra
Prealgebra serves as a crucial bridge from basic arithmetic to more complex concepts in mathematics, such as algebra. In prealgebra, students familiarize themselves with:
  • Number Operations: Such as addition, subtraction, multiplication, and division. These operations form the foundation for all mathematical calculations.
  • Order of Operations: Understanding the correct sequence to follow when performing operations is key. Traditionally summarized by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
  • Understanding Variables: Although not used in simple arithmetic, variables become essential in algebra. Recognizing their use starts in prealgebra.
By mastering these elements, students build a strong base for higher-level math subjects, like algebra, geometry, and beyond.

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Most popular questions from this chapter

Mentally give a one-digit estimate for each of the following quotients. That is, for each quotient, mentally estimate the answer using one of the digits \(1,2,3,4,5,6,7,8,\) or 9 $$673 \div 218$$

Add each of the following. (All problems involve carrying in at least one column. $$\begin{aligned} &9,245\\\ &\begin{array}{r} 672 \\ 8,341 \\ 27 \\ \hline \end{array} \end{aligned}$$

Work Problems 35 through 38 mentally, without using a calculator. The quotient \(845+93\) is closest to which of the following numbers? a. 10 b. 100 c. \(1,000\) d. \(10,000\)

Add each of the following. (All problems involve carrying in at least one column. $$\begin{array}{l} 21 \\ 43 \\ 65 \\ 87 \\ \hline \end{array}$$

Divide. You shouldn't have any wrong answers because you can always check your results with multiplication. $$1,206 \div 67$$
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