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How to to Order Integers

You can order a set of integers by determining their location on a number line. Integers are numbers that have no decimals or fractions. They consist of whole numbers, negative numbers and zero. A number line lists positive integers that increase in value to the right of zero and negative integers that decrease in value to the left of zero, such as -3, -2, -1, 0, 1, 2 and 3. Lower value integers sit to the left of higher value integers and higher value integers will sit to the right of the lower value integers.

Instructions

  1. Least to Greatest

    • 1

      Determine a set of integers that you want to order from least to greatest. For example, order 7, -4, and 8.

    • 2

      Determine the integer in the set that would be located the farthest to the left on a number line to determine the first integer in the order. In the example, -4 is the first integer because it would be the farthest to the left on a number line.

    • 3

      Determine the integer that would be located to the right of the first integer on a number line, but farther to the left than the others to determine the second integer in the order. In the example, 7 is the second integer because it would be to the right of -4, but to the left of 8.

    • 4

      Determine the integer that would be to the right of the second integer on a number line, but farther to the left than the others to determine the next integer in the order. In the example, 8 is the third and last integer because it would be to the right of 7. This results in the integers -4, 7 and 8 in order from least to greatest. Continue to determine the next integer in the order if your set contains more integers.

    Greatest to Least

    • 5

      Determine a set of integers that you want to order from greatest to least. For example, order 4, 10, and -5.

    • 6

      Determine the integer in the set that would be located the farthest to the right on a number line to identify the first integer in your order. In the example, 10 would be the farthest to the right on a number line and is the first integer in the order.

    • 7

      Determine the integer that would be to the left of the first integer on a number line, but to the right of the others to identify the second integer in your order. In the example, 4 is the second integer because it would be to the left of 10, but to the right of -5.

    • 8

      Determine the integer that would be to the left of the second integer on a number line, but to the right of the others to determine the third integer in your list. In the example, -5 is the third and last integer because it would be to the left of 4. This results in the integers 10, 4 and -5 in order from greatest to least. Find the remaining integers in the order if there are more integers in the set.

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