# How to Order 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.

### 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:
$$-5<-2<-1<1<2<4$$

### 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.

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

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

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