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Does the order of integers matter?

Updated: 4/28/2022
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11y ago

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The order of integers may or may not matter, it depends upon what you are doing with them. If, for example, you are adding up a group of integers, you will get the same total no matter what order they are in. 1 + 2 + 3 + 4 = 10, and 3 + 4 + 2 + 1 = 10. However, there are other circumstances in which the order matters. For example, you can take the number 140 and rearrange the digits to 104 and get a different number. That matters.

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Q: Does the order of integers matter?
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Associative property of addition using integers?

The associative property states, no matter how you order three or more integers being added, they will always equal the same solution. For example, A + (B + C) = (A +B) + C * * * * * The equation is correct but the description is not. When you say "no matter how you order three or more integers" you are implying that A + B + C = A + C + B and that need not be true. Associativity refers to the order in which the summation is carried out. That does not matter.


Associative principle for addition of integers?

The associative property states that, for the sum of three or more integers the order in which the summation in carried out does not make a difference to the answer. Thus, for any three integers, A, B and C: (A + B) + C = A + (B + C) and so, without ambiguity, we can write either as A + B + C. Note that A + B need not be the same as B + A. The order of the integers DOES matter. It is the order of the summing that does not.


Integers in counting order?

consecutive integers


How do you order integers?

in increasing order


Do integers have to be in order?

no


Does the order for the positive integers and negative integers of the addends affect the sum?

No.


If you put several integers in order least to greatest and greatest to least how is it that the same number is always third in order?

That will happen if you have 5 integers.


What is integers and order of operations?

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Can you reverse the order of the integers when subtracting and still get the same answer?

no.


Visualizing integers and their order in a number line?

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Which integers would be compared or ordered?

Basically you can compare or order any finite set of integers.


When will the sum of 2 integers be positive?

The sum of two integers is positive whenever the integer with the larger absolute value is positive. The sign of the other one doesn't matter.