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By close proximity, we mean that the integers being compared differ very little in value.
In our example 5 - (-5), you would add 5 zeros, so that you could remove five red chips.
You would then be left with 10 yellow chips (or 10) which is the answer to the question.
For example, 5 - (-5), would require five yellow chips to start and would also require the removal of five red chips, but there aren't any red chips! Adding or subtracting zero (a red chip and a yellow chip) has no effect on the original number, so we could add as many zeros as we wanted to the pile, and the number would still be the same.
All that is needed then is to add as many zeros (pairs of red and yellow chips) as needed until there are enough of the correct color chip to remove.
Students should be able to recognize easily that a positive number is always greater than a negative number and that between two negative integers, the one with the lesser absolute value is actually the greater number.
Have students practice with these integers worksheets and follow up with the close proximity comparing integers worksheets.
Adding Integers Have you heard about two-color counters and how they can make your life much easier while helping students understand integers better?
Sure, you could just teach them the the , -, - , and -- rules, but then they would have no color in their lives.
These worksheets will help students further hone their ability to visualize and conceptualize the idea of negative numbers and will serve as a foundation for all the other worksheets on this page.
Adding and subtracting integers worksheets in various ranges including a variety of options for parentheses use.