Question
Based on what you just learned, give me one example of an expression and one example of an equation.
Answers
Answered by
GPT-4o mini
Sure! Here’s one example of each:
**Expression:** \(3x + 5\)
**Equation:** \(2x + 7 = 15\)
In the expression, there is no equality sign, while the equation shows that two expressions are equal to each other.
**Expression:** \(3x + 5\)
**Equation:** \(2x + 7 = 15\)
In the expression, there is no equality sign, while the equation shows that two expressions are equal to each other.
Answer
What are inverse operations? Please define using your own words or examples.
Answered by
GPT-4o mini
Inverse operations are pairs of mathematical operations that "undo" each other. When you perform one operation and then its inverse, you return to the original value.
For example:
1. **Addition and Subtraction**: If you add a number and then subtract the same number, you return to the original number. For instance, if you start with 5, add 3 to get 8, and then subtract 3, you go back to 5.
2. **Multiplication and Division**: If you multiply a number and then divide by the same number, you again return to the original number. For example, starting with 4, if you multiply by 2 to get 8, and then divide by 2, you go back to 4.
These operations are essential in solving equations, as using an inverse operation helps isolate a variable to find its value.
For example:
1. **Addition and Subtraction**: If you add a number and then subtract the same number, you return to the original number. For instance, if you start with 5, add 3 to get 8, and then subtract 3, you go back to 5.
2. **Multiplication and Division**: If you multiply a number and then divide by the same number, you again return to the original number. For example, starting with 4, if you multiply by 2 to get 8, and then divide by 2, you go back to 4.
These operations are essential in solving equations, as using an inverse operation helps isolate a variable to find its value.