Class 10MathematicsReal Numbers

Decimal Expansions of Rational Numbers

A rational number has either a terminating decimal expansion or a non-terminating recurring decimal expansion. For a fraction p/q in lowest form, the decimal terminates if the prime factors of q are only 2 and/or 5.

How to study this topic

Read the core explanation once without solving.
Open the formula links below and connect them with the topic meaning.
Practice the 10 example pages one by one.
Use the AI ask page for text, voice or image-based doubts.

10 example pages

Concept check 1

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on concept check and show the working clearly.

Definition to application 2

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on definition to application and show the working clearly.

Formula warm-up 3

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on formula warm-up and show the working clearly.

Reasoning practice 4

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on reasoning practice and show the working clearly.

Board-style short answer 5

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on board-style short answer and show the working clearly.

Mistake correction 6

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on mistake correction and show the working clearly.

Visual interpretation 7

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on visual interpretation and show the working clearly.

Applied word problem 8

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on applied word problem and show the working clearly.

Revision challenge 9

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on revision challenge and show the working clearly.

Exam recap 10

For Class 10 Mathematics, explain or solve a decimal expansions of rational numbers question from the chapter "Real Numbers". Focus on exam recap and show the working clearly.