Final answer:
To verify that 5/8 × 8/5 = 8/5 × 5/8 = 1, we can simplify both sides of the equation using the commutative property of multiplication.
Step-by-step explanation:
To verify that 5/8 × 8/5 = 8/5 × 5/8 = 1, we can simplify both sides of the equation:
Left side:
- Multiply the numerators: 5 × 8 = 40
- Multiply the denominators: 8 × 5 = 40
So, the left side simplifies to 40/40, which equals 1.
Right side:
- Multiply the numerators: 8 × 5 = 40
- Multiply the denominators: 5 × 8 = 40
So, the right side also simplifies to 40/40, which equals 1. Therefore, the equation is verified.
The property of multiplication used in this equation is the commutative property, which states that changing the order of the multiplicands does not change the product.
Learn more about commutative property of multiplication