As a professional teacher, it is important for me to provide explanations and solutions that are easy to understand for my students. In this article, I will explain the meaning of the expression "7 2 5v 3v 14" and provide a step-by-step solution for it.
The Meaning of the Expression
The expression "7 2 5v 3v 14" is a combination of numbers and variables. The numbers in the expression are 7, 2, and 14. The variables in the expression are represented by the letters "v". There are two variables in the expression, 5v and 3v.
Understanding Variables
A variable is a symbol that represents a value or a quantity that can change. In algebra, variables are used to represent unknown values. The letter "v" is often used as a variable, but any letter can be used.
Solution for the Expression
To solve the expression "7 2 5v 3v 14", we need to follow the order of operations. The order of operations is a set of rules that tells us the order in which we need to perform arithmetic operations.
Order of Operations
The order of operations is as follows: 1. Parentheses 2. Exponents 3. Multiplication and Division (from left to right) 4. Addition and Subtraction (from left to right)
Solving the Expression Step-by-Step
Step 1: Simplify the expression inside the parentheses (if there were any). There are no parentheses in this expression. Step 2: Simplify any exponents (if there were any). There are no exponents in this expression. Step 3: Perform any multiplication or division, working from left to right. There is no multiplication or division in this expression. Step 4: Perform any addition or subtraction, working from left to right. 7 + 2 = 9 Step 5: Combine the variables. 5v + 3v = 8v Step 6: Add the result from Step 4 to the result from Step 5. 9 + 8v = 8v + 9 Step 7: Simplify the expression. The final solution for "7 2 5v 3v 14" is 8v + 9.
Conclusion
In conclusion, the expression "7 2 5v 3v 14" is a combination of numbers and variables. To solve the expression, we need to follow the order of operations, which is a set of rules that tells us the order in which we need to perform arithmetic operations. By following the steps outlined in this article, we can simplify the expression and arrive at the final solution of 8v + 9.
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