Last year, I had a good discussion with some teachers about Venn diagrams. Several teachers commented that I should change the diagram below because it might give an impression that the number of rational numbers is the same as the number of irrational numbers. Sadly, I was not sure if I was able to explain […]

Continue reading…

# Posts tagged with 'rational numbers'

## Are all fractions rational numbers?

No. A rational number can be expressed in the form where and are integers and . In other words, it is a fraction whose denominator is not zero, and both the denominator and numerator are integers. Some fractions, however, may contain a numerator or denominator that is not an integer. Some examples of such fractions are […]

Continue reading…

## Why are Non-terminating, Repeating Decimals Rational

Last night, I received a Facebook message from a Grade 8 student asking why non-terminating repeating decimals are rational. I am posting the answer here for reference. Rational numbers is closed under addition. That is, if we add two rational numbers, we are guaranteed that the sum is also a rational number. The proof of […]

Continue reading…