How to Order Integers and Numbers? (+FREE Worksheet!)
- Step 1: For the first step, look at the smallest numbers, which are the negative numbers that are farthest from zero, and arrange them. The bigger the negative number, the smaller the value.
- Step 2: Zero is bigger than all negative numbers, so in ordering numbers, it ranks higher than negative.
- Step 3: We said that the more numbers move to the right, the bigger they are, so the positive numbers are after zero. The bigger the positive number, the bigger the value.
For education statistics and research National Center for Education Statistics.
Ordering Integers and Numbers – 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:
\(- 5 \ < \ – 4 \ < \ -1 \ < \ 2 \ < \ 4 \ < \ 7\)
Ordering Integers and Numbers – 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:
\( 8 \ > \ 6 \ > \ 3 \ > \ – \ 1 \ > \ – \ 2 \ > \ – \ 9 \)
Ordering Integers and Numbers – 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:
\(-5<-2<-1<1<2<4\)
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Ordering Integers and Numbers – 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 for Ordering Integers and Numbers
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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Watch this practice video for additional examples and reinforcement:
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