c Which Property of addition allows terms to change order without changing the sum?
A
a 497 miles
B
b 497 miles
C
c It's possible by the Commutative Property of Addition.
Practice makes perfect
a We know that the distance between Tulsa and Dallas is 258 miles and the distance between Dallas and Houston is 239 miles. To find the distance from Tulsa to Dallas to Houston, we need to add the segments of the trip.
258 miles_(Tulsa to Dallas) +239 miles_(Dallas to Houston)= 497 miles_(Total distance)
b We know that the distance between Houston and Dallas is 239 miles and the distance between Dallas and Tulsa is 258 miles. To find the distance from Houston to Dallas to Tulsa, we need to add the segments of the trip.
239 miles_(Houston to Dallas) + 258 miles_(Dallas to Tulsa) = 497 miles_(Total distance)
a+b=b+a
In this exercise, our terms are the distance between Tulsa (T) and Dallas (D) and the distance between Dallas (D) and Houston (H). Let's look at how this property works in our example.
