The Transitive Property states that if a = b and b = c , then a = c. Explain how you can use the Transitive Property to show that the expressions 0+x+13 and 13+x are equivalent.
YOu will have to use the zero addition principle also.
0+a=a
so
0+(x+13)=x+13=13+x
To use the Transitive Property to show that the expressions 0+x+13 and 13+x are equivalent, we need to start by establishing two equations that satisfy the Transitive Property.
First, let's equate 0+x+13 and "a" for the first equation:
0+x+13 = a
Next, we equate 13+x and "b" for the second equation:
13+x = b
Now, we'll perform the steps to prove the expressions are equivalent using the Transitive Property:
1. Start with the first equation: 0+x+13 = a
2. Simplify the equation: x+13 = a
3. Next, replace the "a" in the second equation with x+13, using the Transitive Property: 13+x = x+13
4. Simplify the equation: 13+x = x+13
By applying the Transitive Property, we have shown that the expressions 0+x+13 and 13+x are equivalent.