A recurring decimal is one that has an infinite number of digits after the decimal point.

An irrational number is one that cannot be written in the form a/b where a and b are integers and b is not equal to 0.

A terminating decimal is one that has a finite number of digits after the decimal point.

Converting any recurring decimal to a fraction

Maths

In this unit, pupils formalised their understanding of the index laws. This understanding will allow them to perform calculations with values written in standard form more efficiently.

The conditions for standard form mean that pupils have explored how different powers of 10 can be written in the prior unit. In this unit, this understanding is generalised and the index laws formalised.

Arithmetic procedures: index laws

Which of these fractions is equivalent to $$0.\dot{3}$$?

Which of these fractions is equivalent to $$0.\dot{0}\dot{9}$$?

Which of these fractions is equivalent to $$0.8\dot{3}$$?

Which of these fractions is equivalent to $$0.08\dot{3}$$?

Which of these fractions is equivalent to $$0.\dot{5}$$?

Which of these fractions is equivalent to $$0.0\dot{6}$$?

This lesson will be removed by end of Summer Term 2025.

Converting any recurring decimal to a fraction

Lesson outcome

This lesson will be removed by end of Summer Term 2025.