Unit 2 Section 2 : Decimals and Place Value
In this section we will look at the place values to the right of the decimal point.
In the example questions, work out the answer then click
to see whether you are correct.
Place values for decimals
The number 1.743 can be broken into four parts:
Example
What is the value of the '6' in the number 2.164?
Sorting Decimals
We can sort decimal numbers into order, just like we can sort whole numbers.
Imagine we want to sort these numbers: 0.5, 0.95, 0.905, 0.59, 0.6, 0.9
Comparing these numbers is easier if we write all the numbers with the same number of decimal places.
Now we have: 0.500, 0.950, 0.905, 0.590, 0.600, 0.900
The extra "0"s on the end make no difference to the value of the number, but they are easier to compare.
We can now see that sorting these numbers gives:
0.500, 0.590, 0.600, 0.900, 0.905, 0.950
After removing the extra "0"s, the final answer is:
0.5, 0.59, 0.6, 0.9, 0.905, 0.95
Example
Sort these numbers into order:
0.7, 0.27, 0.72, 0.702, 0.207, 0.2
Rounding to a certain number of decimal places
If we want to round 4.732 to 2 decimal places, it will either round to 4.73 or 4.74.
4.732 rounded to 2 decimal places would be 4.73 (because it is the nearest number to 2 decimal places).
4.737 rounded to 2 decimal places would be 4.74 (because it would be closer to 4.74).
4.735 is halfway between 4.73 and 4.74, so it is rounded up: 4.735 rounded to 2 decimal places is 4.74.
Examples
(a) What is 5.79 rounded to 1 decimal place.
(b) What is 3.242 rounded to 2 decimal places?
Exercises
Work out the answers to the questions below and fill in the boxes. Click on the
button to find out whether you have answered correctly. If you are right
then will appear and you should move on to the next
question. If appears then your answer is wrong. Click
on to clear your original answer and have another go.
If you can't work out the right answer then click on
to see
the answer.
You have now completed Unit 2 Section 2
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Produced by A.J. Reynolds January 2001