GCSE Secondary Maths Age 13-17 - Number: Recurring Decimal - Explained

The video tutorial explains how to prove algebraically that the recurring decimal 0.25 recurring equals 23/90. It outlines a step-by-step procedure, starting with defining X as the recurring decimal, multiplying to isolate the decimal part, and solving the resulting equations. The tutorial emphasizes the routine nature of such questions and explains the marks allocation for each step.

What is the recurring decimal that needs to be proven equal to 23/90?

• 0.125 recurring

• 0.25 recurring

• 0.75 recurring

• 0.5 recurring

Why do we multiply the equation by 10 in the first step?

• To simplify the equation

• To isolate the recurring decimal part

• To make the number larger

• To convert it into a fraction

What is the result of multiplying 10X by 10?

• 20X

• 90X

• 10X

• 100X

What is the final value of X after solving the equations?

• 25/90

• 23/100

• 25/100

• 23/90

How many marks are awarded for correctly solving this type of question?

• One mark

• Two marks

• Four marks

• Three marks