Ordering Integers and Numbers

Ordering Integers and Numbers

We can use a number line for ordering numbers and integers. Learn how to order numbers in few simple steps.

Step by step guide to ordering integers and numbers

  • When using a number line, numbers increase as you move to the right.
  • When comparing two numbers, think about their position on the number line. If one number is on the right side of another number, it is a bigger number. For example, \(- \ 3\) is bigger than \(- \ 5\) because it is on the right side of \(- \ 5\) on number line.

Example 1:

Order this set of integers from least to greatest. \(- \ 4, – \ 1, – \ 5, 4, 2, 7\)

Solution:

The smallest number is \(- \ 5\) and the largest number is \(7\).
Now compare the integers and order them from least to greatest:
\(- \ 5 \ < \ – \ 4 \ < \ – \ 1 \ < \ 2 \ < \ 4 \ < \ 7\)

Example 2:

Order this set of integers from greatest to least. \(3, – \ 2, – \ 1, 6, – \ 9, 8\)

Solution:

The largest number is \(8\) and the smallest number is \(- \ 9\).
Now compare the integers and order them from greatest to least:
\( 8 \ > \ 6 \ > \ 3 \ > \ – \ 1 \ > \ – \ 2 \ > \ – \ 9 \)

Example 3:

Order this set of integers from least to greatest. \(-2,1,-5,-1,2,4\)

Solution:

The smallest number is \(-5\) and the largest number is \(4\).
Now compare the integers and order them from greatest to least:
\(-5<-2<-1<1<2<4\)

Example 4:

Order each set of integers from greatest to least. \(10,-6,-2,5,-8,4\)

Solution:

The largest number is \(10\) and the smallest number is \(-8\).
Now compare the integers and order them from least to greatest:
\(10>5>4>-2>-6>-8\)

Exercises

Order each set of integers from least to greatest.

  • \(\color{blue}{ – 15, – 19, 20, – 4, 1 }\)
  • \(\color{blue}{ 6, – 5, 4, – 3, 2}\)
  • \(\color{blue}{ 15, – 42, 19, 0, – 22 }\)

Order each set of integers from greatest to least.

  • \(\color{blue}{ – 2, 5, – 3, 6, – 4 }\)
  • \(\color{blue}{ – 37, 7, – 17, 27, 47 }\)
  • \(\color{blue}{ 32, – 27, 19, – 17, 15 }\)

Download Ordering Integers and Numbers Worksheet

Answers

  • \(\color{blue}{ – 19, – 15, – 4, 1, 20 }\)
  • \(\color{blue}{ – 5, – 3, 2, 4, 6 }\)
  • \(\color{blue}{ – 42, – 22, 0, 15, 19}\)
  • \(\color{blue}{6, 5, – 2, – 3, – 4}\)
  • \(\color{blue}{47, 27, 7, – 17, – 37}\)
  • \(\color{blue}{32, 19, 15, – 17, – 27}\)

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