(4/7) • (7/4) =1 is what property ?
The property being illustrated here is the multiplicative inverse property. This property states that for any non-zero number a, there exists a multiplicative inverse (also known as reciprocal) such that a * (1/a) = 1. In this case, 4/7 * 7/4 = 1, which demonstrates the multiplicative inverse property.
The equation (4/7) • (7/4) = 1 represents the property of multiplicative identity. This property states that when any number is multiplied by 1, the product is equal to that number. In this case, multiplying (4/7) by (7/4) gives us 1 as the product.
To find out which property is being demonstrated in the equation, we need to simplify the expression and then analyze it.
To multiply fractions, we multiply the numerators together and the denominators together. Therefore, (4/7) • (7/4) can be simplified as:
(4 • 7) / (7 • 4)
This simplifies to:
28 / 28
And finally:
1
So, (4/7) • (7/4) simplifies to 1.
Now, let's determine the property being demonstrated.
The property displayed here is the Multiplicative Identity Property. According to this property, any number multiplied by 1 results in the same number. In this case, multiplying (4/7) by (7/4) yields 1, which implies that 1 is the multiplicative identity for fractions.