Let's compare arithmetic expressions!
We already know how to compare two numbers using:
- \(=\) (equal to)
- \(<\) (less than)
- \(>\) (greater than)
In the same way, we can compare expressions using these symbols, by checking their values.
The signs used to compare two expressions:
- \(=\) if both sides are the same.
- \(>\) if the left side value is bigger.
- \(<\) if the right side value is bigger.
Example:
Compare \(4 + 7\) _______ \(5 \times 2\).
Solution: \(4 + 7 = 11\) and \(5 \times 2 = 10\)
Since \(11 > 10\), we get \(4 + 7 > 5 \times 2\).
Solution: \(4 + 7 = 11\) and \(5 \times 2 = 10\)
Since \(11 > 10\), we get \(4 + 7 > 5 \times 2\).
How Do We Avoid Confusion while calculating complex expressions?
We use something magical in Mathville: BRACKETS!
Brackets are the heroes. They tell exactly what to do in what order.
Expression: \(30 + (5 \times 4) = 30 + 20 = 50\)
Rules for doing complex expressions:
- Brackets are special. Always follow them first.
- And, then do the next operation
Terms in Expressions
Terms are parts of the expression separated by a ‘\(+\)’ sign.
Example:
In the expression \(10 + 7\), there are two terms present.
One is \(10\) and the other is \(7\).
What if there’s a minus sign?
Suppose the expression is \(30 - 8\).
Subtracting \(8\) from \(30\) is same as adding the opposite of \(8\).
So, \(30 - 8 = 30 + (-8)\).
Now, the terms are \(30\) and \(-8\).