By close proximity, we mean that the integers being compared differ very little in value.
Depending on the range, we have allowed various differences between the two integers being compared.
Taking out the zeros means removing as many pairs of yellow and red chips as you can.
You do this because -1 and 1 when added together equals zero (this is called the zero principle).
Subtracting Integers Subtracting with integer chips is a little different. To subtract with integer chips, begin by modeling the first number (the minuend) with integer chips.
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Next, remove the chips that would represent the second number from your pile and you will have your answer. This works beautifully if you have enough of the right color chip to remove, but often times you don't.Multiplying and dividing integers in various ranges and including worksheets that focus on specific types of integer operations.Multiplying integers is normally where students learn the general rules for multiplying negatives and positives. In other words, multiplying two positives or two negatives together results in a positive products, and multiplying a negative and a positive together results in a negative product.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.For homeschoolers or those with only one or a few students, the paper versions should do. Comparing and ordering integers worksheets for learning about ordinality in integers.The other thing that we highly recommend are integer chips a.k.a. For students who are just starting with integers, it is very helpful if they can use an integer number line to compare integers and to see how the placement of integers works.Adding with two-color counters is actually quite easy.You model the first number with a pile of chips flipped to the correct side and you also model the second number with a pile of chips flipped to the correct side, then you mash them all together, take out the zeros (if any) and voila! Since there are a few confused faces in the audience, let us explain a little further.In the first set where the range is -9 to 9, the difference between the two numbers is always 1.With the largest range, a difference of up to 5 is allowed.