1.2.1 - Closure
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Are whole numbers closed under addition?
💡 Hint: Think about adding 2 and 3.
What is an example of two integers that subtract to a positive number?
💡 Hint: Choose integers such as 5 and 3 or similar.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
Are whole numbers closed under subtraction?
💡 Hint: Consider an example like 3 - 5.
What kind of numbers are rational numbers?
💡 Hint: Think of the definition of rational numbers.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Find two rational numbers p/q and r/s such that p/q + r/s results in a rational number, verifying closure.
💡 Hint: Think of a common denominator.
Using examples, explain why closure can't hold for division within integers.
💡 Hint: Consider outcomes when dividing if the divisor is larger or smaller.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.