Ordering numbers to 100

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How do you order numbers to 100?

When you order numbers to 100, you can arrange them from smallest to greatest or from greatest to smallest.

Look at the tens first and then the ones if you need to.

This number line goes from 0 to 100.

From top to bottom: The text ‘Smallest to greatest’. Then an arrow going from left to right above a number line going from 0 to 100 in steps of 10. Underneath the number line is an arrow going right to left. Underneath that is the text ‘Greatest to smallest’.

From left to right, the numbers increase from smallest to greatest.

From right to left, the numbers decrease from greatest to smallest.

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Quiz: Ordering numbers to 100

Test out your knowledge of ordering from smallest to greatest with this quiz, then read on to complete the page.

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Ordering numbers using tens and ones

Here are three numbers:

34, 19, 50

To find out which number is the smallest, you need to look at which number has the fewest tens.

Fewest means the smallest number, or the least amount. You can use this word when comparing numbers or amounts.

Here are the three numbers represented using blocks.

On the left the number 34, with 3 vertical stacks of 10 cubes and 1 vertical stack of 4 above it. In the middle the number 19, with 1 vertical stack of 10 and 1 vertical stack of 9 above it. On the right, the number 50 with 5 vertical stacks of 10 cubes.

19 has the fewest tens, so 19 is the smallest number.

50 has the most tens, so 50 is the greatest number.

If two numbers have the same number of tens, you can use the ones to decide which number is smaller.

Let’s put them in order from smallest to greatest. You can place the 'less than' (<) symbol between the numbers.

19 < 34 < 50

Now let’s put them in order from greatest to smallest. You can place the 'greater than' symbol (>) between the numbers.

50 > 34 > 19

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Ordering numbers using a number line

Here is a number line counting up in ones, from 43 to 63.

A partial number line from 43 to 63, increasing in steps of 1.

Now let's mark the numbers 52, 61 and 49 on the number line.

You can order them by finding them on a number line.

A partial number line going from 43 to 63, increasing in steps of 1. With the numbers 49, 52 and 61 highlighted with arrows beneath them.

The greatest number is furthest along the number line.

61 is the furthest along the number line. It is the greatest number.

The smallest number is the least far along the number line.

49 is the least far along the number line. It is the smallest number.

Let’s order them from smallest to greatest:

49 < 52 < 61

Now let’s order them from greatest to smallest:

61 > 52 > 49

Did you notice that 52 has stayed in the middle?

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Ordering numbers using a hundred square

Sometimes you might need to order four numbers. Look at these numbers:

91, 19, 63, 67

You would need a very long number line to order 91 and 19.

This is where a number square can be useful.

As well as helping you to count, a number square can also help you to order numbers.

A one-hundred square going from 0-100. The numbers 19, 63, 67 and 91 are all highlighted.

The numbers have been highlighted on this number square.

19 has the smallest number of tens. 91 has the largest number of tens.

Therefore, the smallest number is 19 and the greatest number is 91.

Did you notice that 63 and 67 both have the same number of tens?

63 has 3 ones and 67 has 7 ones. 7 ones are greater than 3 ones.

So, 67 is greater than 63.

Let’s order these numbers from smallest to greatest:

19 < 63 < 67 < 91

Now let's order them from greatest to smallest:

91 > 67 > 63 > 19

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Example 1

Look at these four numbers.

On the left, the number 16, above that 1 vertical stack of 10 cubes and 1 vertical stack of 6 cubes. To the right, the number 61, above that 6 vertical stacks of 10 cubes and 1 vertical stack of 1 cube. Next to that on the right the number 39, above that 3 vertical stacks of 10 cubes and 1 vertical stack of 9. The final one on the right is the number 32, above 3 vertical stacks of 10 cubes and 1 vertical stack of 2 cubes.

Order the numbers 16, 61, 32 and 39 from smallest to greatest.

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Example 2

A partial number line from 30 to 60, increasing in steps of 2.

Can you order these numbers from greatest to smallest using the number line?

41, 31, 59, 34

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