write two equations that prove the associative property is not true for division
To show that the associative property is not true for division, we need to find two equations where changing the grouping of the numbers yield different results.
Let's consider the numbers 10, 2, and 5 for our equations.
Equation 1: (10 ÷ 2) ÷ 5
Dividing 10 by 2 gives us 5. Now we divide this result, 5, by 5, which gives us 1.
Equation 2: 10 ÷ (2 ÷ 5)
Dividing 2 by 5 gives us 0.4. Now we divide 10 by this result, 0.4, which gives us 25.
As we can see, Equation 1 yields a result of 1, while Equation 2 yields a result of 25. Since changing the grouping of the numbers changes the end result, we can conclude that the associative property does not hold for division.