Video: The Associative Property of Addition

In a class, Victoria calculates (π‘Ž + 𝑏) βˆ’ 𝑐 and Liam calculates π‘Ž + (𝑏 βˆ’ 𝑐). Which property of addition tells us that their answers will be the same?

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Video Transcript

In a class, Victoria calculates π‘Ž plus 𝑏 minus 𝑐 and Liam calculates π‘Ž 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 π‘Ž plus 𝑏 minus 𝑐 is equal to π‘Ž plus 𝑏 minus 𝑐. This means that the correct answer is the associative property. The numbers π‘Ž, 𝑏, and negative 𝑐 are being added and their sum will be the same regardless of the grouping.

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