The table shows the driving distance from certain cities.

From To Driving Dis(mi)

Pittsburgh Johnstown 55

Johnstown Allentown 184

1. Write a number sentence that compares the mileage from Pittsburgh to Johnstown to Allentown, and the mileage from Allentown to Johnstown to Pittsburgh.

2. Name the property that is illustrated by this sentence.

55+184 = 184+55

2. Commutative Property

1. To compare the mileage from Pittsburgh to Johnstown to Allentown with the mileage from Allentown to Johnstown to Pittsburgh as a number sentence, we can subtract the two distances.

The number sentence would be: (Mileage from Pittsburgh to Johnstown) - (Mileage from Allentown to Johnstown) = (Mileage from Allentown to Pittsburgh)

Using the given distances, the number sentence would be: 55 - 184 = -129.

2. The property illustrated by this sentence is the commutative property of subtraction. According to the commutative property of subtraction, changing the order of subtraction does not change the result. In this case, we can subtract the mileage from Johnstown to Allentown from the mileage from Pittsburgh to Johnstown and still get the same result as when we subtract the mileage from Allentown to Johnstown from the mileage from Pittsburgh to Johnstown.