Rounding and Estimating

When estimating a calculation the usual rule is to round each calculation to 1 significant figure.

1st what is a significant figure?
The word significant means: having meaning.

With the number 3 468 249, the 3 is the most significant digit, because it tells us that the number is 3 million and something. It follows that the 4 is the next most significant, and so on.

So if we want to round this number to 1 significant we round it to the nearest million as this is where the first significant figure is

Examples:
Round the following to 1 significant figure

4325 is 4000 (because the 4 is the 1st significant figure so we round it to the nearest thousand)

0.007821 is 0.008 the 7 is the 1st significant figure so we round it to 3 decimal places.

Now on to estimating.  To estimate we round to 1 significant figure then work out the calculation

Estimate the answer to 

First round each number to 1 significant figure so 19.4 becomes 20 and 0.0437
is 0.04

Now we need to make the denominator a whole number. We can do this by multiplying both 20 and 0.04 by 100.        

Divide everything by 4.

(Question taken from GCSE Bitesize http://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev4.shtml)

Ordering Fractions and Converting between fractions and decimals

When ordering fractions there are two main ways to do this

1) Convert each fraction to a decimal and then order

                                        or
2) Write each fraction over a common denominator.

Example of method 2)

 




















If we are to use method one we need to know how to convert fractions to decimals.  Some are easy such as 1/2 = 0.5 and 1/4 = 0.25.

If we come across a fraction that we do not know as a decimal and we cannot compare it to percentages to help us we can use division to help us.