By following the order of operations and simplifying each step, we find that the expression 24x1-8+5(9/3-3) simplifies to 16. The properties used in the simplification process include the zero property of multiplication and the identity property of addition.
To simplify the expression 24x1-8+5(9/3-3), we follow the order of operations (PEMDAS/BODMAS) and simplify each step:
Step 1: Start by simplifying the parentheses first.
- Inside the parentheses, we have 9/3-3.
- This simplifies to 3-3, which equals 0.
- Therefore, the expression becomes 24x1-8+5(0).
Step 2: Next, we multiply 5 by 0.
- The property used here is the zero property of multiplication, which states that any number multiplied by zero equals zero.
- Therefore, 5(0) equals 0.
- The expression now becomes 24x1-8+0.
Step 3: Continue simplifying by performing multiplication and division from left to right.
- 24 multiplied by 1 equals 24.
- The expression becomes 24-8+0.
Step 4: Finally, perform addition and subtraction from left to right.
- 24-8 equals 16.
- The expression becomes 16+0.
Step 5: Addition with zero does not change the value.
- The property used here is the identity property of addition, which states that adding zero to any number does not change the value.
- Therefore, 16+0 equals 16.
The question probable may be:
Justify each step of the solution by stating the name of the property that was used to get to each step of the equation.
Given equation: 24x1-8+5(9/3-3)