Video Transcript
In a class, Victoria calculates 𝑎
plus 𝑏 minus 𝑐 and Liam calculates 𝑎 plus 𝑏 minus 𝑐. Which property of addition tells us
that their answers will be the same?
There are four mathematical
properties which involve addition. Firstly, we have the commutative
property. This states that when two numbers
are added, the sum is the same regardless of the order. The second property is the
associative property. This states that when three or more
numbers are added, the sum is the same regardless of the grouping. Our third property is the identity
property. This states that the sum of any
number and zero is the original number. Finally, we have the distributive
property. This states that the sum of two
numbers times a third number is equal to the sum of each of the first two numbers
multiplied by the third number.
In this question, we’re told that
𝑎 plus 𝑏 minus 𝑐 is equal to 𝑎 plus 𝑏 minus 𝑐. This means that the correct answer
is the associative property. The numbers 𝑎, 𝑏, and negative 𝑐
are being added and their sum will be the same regardless of the grouping.
