Show two ways of simplifying this expression: 4(25-3)
To simplify the expression 4(25-3), we can follow two possible methods:
Method 1: The Distributive Property
The Distributive Property states that for any numbers a, b, and c, a(b + c) = ab + ac. We can apply this property to simplify the expression:
4(25-3) = 4 * 25 - 4 * 3
= 100 - 12
= 88
Therefore, the simplified expression is 88.
Method 2: The Order of Operations (PEMDAS/BODMAS)
The Order of Operations guides us on the sequence of calculations we need to perform. To simplify the expression, we can use the following steps:
Step 1: Evaluate the expression within parentheses: 25-3 = 22.
Step 2: Multiply 4 by the previous result: 4 * 22 = 88.
Again, the simplified expression is 88.
Both methods lead us to the same result: 88.