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Rational Numbers

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Videos, worksheets, solutions and songs to help Grade 6 students learn about rational numbers.
A rational number is a number that can be written as a fraction whose numerator and denominator are both integers (and the denominator must not be zero).

How to classify real numbers as rational or irrational?
Real Numbers are numbers that would appear on the number line.

Rational Numbers are numbers that can be written in the form a/b with a and b as integers (b ≠ 0). In decimal form they terminate or do not terminate and repeat.

Irrational numbers are numbers in decimal form that do not terminate and do not repeat.

Example:
Classify each number as rational or irrational.
3√27, π √27, 5.9, √81, 3√16 What are Rational Numbers? Rational Numbers - Decimals, Fractions, Percents Three forms of rational numbers - Fractions, percents and decimals
Rational Numbers



Number Types Song - Natural Numbers, Whole Numbers, Integers, Rational Numbers
Natural numbers are naturally
Numbers you count on your hands and your feet
1, 2, 3, 4, 5, 6, and so on

Whole numbers are natural numbers plus zero
That's the only difference, oh, oh
0, 1, 2, 3, and so on

Integers are whole numbers plus negatives
They look a little bit like this
-2, -1, 0, 1, and so on

Last but not least, not to be outdone
Rational numbers are integers plus fractions
Like -3, 1/2, 5/8 and 14.2

All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!

What about 4? It's a natural number so it's also whole, integer, and rational
What about -2? Integer and rational
What about 1.5? It's just rational
What about 0? It's whole, integer, and rational

All natural numbers are whole numbers
All whole numbers are integers
All integers are rational numbers
Now listen to that drummer!
Rational Number Song
A song about rational number and rules in adding signed numbers.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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