1.03 Order numbers

Plot 41\,590, 41\,690, and 41\,490 on the number line below.

Find how much each space between tick marks represents.

On the number lines the first two numbers are 41\,450 and 41\,500.

41\,500-41\,450=50, and there are 5 spaces between 41\,450 and 41\,500 which means that each space represents an increase of 10, since there are five lots of 10 in 50.

41\,490 is 4 tens more than 41\,450, so it should be 4 spaces to the right of 41\,450.

41\,590 is 4 tens more than 41\,550, so it should be 4 spaces to the right of 41\,550.

41\,690 is 4 tens more than 41\,650, so it should be 4 spaces to the right of 41\,650.

The numbers are plotted below:

Write the three numbers from smallest to largest.

Use the number line from part (a).

Remember that the smaller a number is, the further to the left on a number line it is.

41\,490 was plotted furthest to the left which makes it the smallest.

Moving right 41\,590 was plotted next and then 41\,690.

So the numbers in order are:

41\,490, \,41\,590,\, 41\,690

60\,679,70\,966,70\,669

Use a place value table and compare the digits from ten thousands.

The numbers in a place value table is shown below:

We can see that 60\,679 has the smallest number of ten thousands so it is the smallest number.

70\,966 and 70\,699 have the same number of thousands.

70\,699 has less hundreds than 70\,966, so 70\,699 \lt 70\,966.

So the numbers from largest to smallest are:70\,966,70\,669,60\,679

95\,036,90\,536,95\,306

Use a place value table and compare the digits from ten thousands.

The numbers in a place value table is shown below:

We can see that all the numbers have the same number of ten thousands.

90\,536 has the smallest number of thousands so it is the smallest number.

95\,036 and 95\,306 have the same number of thousands.

95\,036 has less hundreds than 95\,306, so 95\,036 \lt 95\,306.

So the numbers from largest to smallest are:95\,306,95\,036,90\,536