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Chapter 3: Problem 73

Evaluate the expression. $$5+8-3$$

Short Answer

Expert verified
The result is 10.

Step by step solution

01

Perform Addition

Start from the left and begin with the first operation, which is addition. Add the first two numbers: \(5 + 8 = 13\).
02

Perform Subtraction

Next, subtract the third number from the result obtained in the first step: \(13 - 3 = 10\). This is the final result.

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Key Concepts

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

Addition
Addition is one of the basic arithmetic operations you will encounter frequently in mathematics. It involves combining two or more numbers to get a total sum. In this case, the numbers are simply added together to form a single number.
  • The symbol for addition is "+".
  • It does not matter in which order you add the numbers, as addition is commutative. For example, 5 + 8 is the same as 8 + 5.
  • Adding zero to a number does not change its value, so 5 + 0 = 5.
With our example problem of 5 + 8, you simply add these numbers to get 13. This step sets the stage for any further operations you might need to perform with the result.
Subtraction
Subtraction is another fundamental arithmetic operation. Unlike addition, subtraction involves taking a number away from another, which makes it crucial to follow the steps carefully to ensure accuracy.
  • The symbol for subtraction is "鈭�".
  • It is not commutative, so 8 - 3 is not the same as 3 - 8.
  • Subtracting a number from itself results in zero, meaning 5 - 5 = 0.
In the original exercise, after adding 5 and 8 to get 13, the next step is to subtract 3. This leads us to the final result of 10. Watching the operation and following it precisely helps in achieving the correct answer.
Order of Operations
Understanding the correct order of operations is crucial when working with multiple numbers and different operations. The order of operations helps to solve mathematical problems accurately and are universally accepted rules.
  • It can be remembered easily by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
  • In simple expressions like 5 + 8 - 3, you work from left to right because addition and subtraction are at the same level in the hierarchy.
  • Ignoring the order can result in incorrect results, so make sure to tackle each operation one step at a time following the rules.
By first adding and then subtracting according to the order of operations, you can accurately evaluate expressions and avoid mistakes.

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