Decimal Expansions of Rational Numbers
aligned to Ky.8.ns.1 Understand Informally That Every Number Has A Decimal Expansion; The Rational Numbers Are Those With Decimal Expansions That Terminate In 0s Or Eventually Repeat. Know That Other Numbers Are Called Irrational.
Learning Objective
I can explain how rational numbers have decimal expansions that terminate or repeat.
Lesson Flow
Watch Video
Trick to Identify Terminating Rational Numbers & Non-Terminating Recurring Decimals | Don't Memorise
Infinity Learn NEET
Guided Notes
Key concepts students will learn:
- •
Rational numbers can be expressed as either terminating decimals or non-terminating recurring decimals.
- •
To determine if a fraction will result in a terminating or non-terminating decimal, reduce the denominator to its prime factors.
- •
If the prime factors of the denominator are only 2 or 5, the decimal will terminate; otherwise, it will be a non-terminating recurring decimal.
Practice
12 questions • Multiple choice & Short answer & True/false
Exit Ticket
“Determine whether ¹³/₄₀ will result in a terminating or non-terminating recurring decimal. Show the prime factorization of the denominator to justify your answer.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
