recurring decimals all recurring decimals can be written as fractions they are rational numbers
TRANSCRIPT
Recurring DecimalsAll recurring decimals can be written as fractionsThey are
‘rational numbers’
Recurring DecimalsTo write recurring
decimals as fractions, we use a simple multiplying
method…
Recurring Decimalse.g. 0.333333333…
Let x = 0.333333333…
Then 10x = 3.333333…
We do a subtraction…
Recurring Decimals10x = 3.33333333… - x = 0.33333333… 9x = 3
X = 3 = 1 9 3
Recurring Decimalse.g. 0.565656…
Let x = 0.5656565…
100x = 56.56565656…
We do a subtraction…
Recurring Decimals100x =
56.56565656… - x = 0.565656565 99x = 56X = 56
99
Recurring DecimalsReminder:
Recurring decimals are written by using a dot:
.e.g. 0.3333333…. = 0.3
Now you try
• Convert the decimals to fractions– 0.545454…..
– 0.599999….