Module 3: Number
Recurring Decimals to Fractions
Grade A
Innovation & excellence
Task 1:

Convert the following RECURING DECIMALS to a fraction:
1
0.8
5
1.46
2
0.4
6
0.14
3
0.27
7
0.04
4
0.241
8
0.045
Task 2:

Prove that 0.9 is exactly the same as 1.
Task 3:

One third is a recurring decimal. One third, squared, is also a recurring decimal.
Is this always true? Try at least 4 numerical examples before you make your
decision.

One quarter is a terminating decimal. One quarter, squared, is also a recurring
decimal. Is this always true? Try at least 4 numerical examples before you make
your decision.

What type of fraction do you get when you multiply a fraction that gives a
recurring decimal by a fraction that gives a terminating decimal? Try at least 4
numerical examples before you make your decision.
Homework:



Is it possible to have a non-terminating, non recurring decimal? Research this
topic and try to find at least 2 SPECIAL decimals that have this definition.
Use GOOGLE and these key words:
o non-terminating, non recurring decimal
o irrational numbers
DO NOT JUST PRINT OFF A PAGE FROM THE INTERNET!
Module 3: Number
Recurring Decimals to Fractions
Grade A
Innovation & excellence
Task 1:

Convert the following RECURING DECIMALS to a fraction:
1
0.8
5
1.46
2
0.4
6
0.14
3
0.27
7
0.04
4
0.241
8
0.045
Task 2:

Prove that 0.9 is exactly the same as 1.
Task 3:

One third is a recurring decimal. One third, squared, is also a recurring decimal.
Is this always true? Try at least 4 numerical examples before you make your
decision.

One quarter is a terminating decimal. One quarter, squared, is also a recurring
decimal. Is this always true? Try at least 4 numerical examples before you make
your decision.

What type of fraction do you get when you multiply a fraction that gives a
recurring decimal by a fraction that gives a terminating decimal? Try at least 4
numerical examples before you make your decision.
Homework:



Is it possible to have a non-terminating, non recurring decimal? Research this
topic and try to find at least 2 SPECIAL decimals that have this definition.
Use GOOGLE and these key words:
o non-terminating, non recurring decimal
o irrational numbers
DO NOT JUST PRINT OFF A PAGE FROM THE INTERNET!