Lesson 3 · Rational and Irrational Numbers

Rational and Irrational Numbers Presentation

MathematicsSubject
8 minEstimated read
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Mathematics, Class 8

Rational and Irrational Numbers

Fractions and non fractions · Roots on the number line · Scientific notation

What We Will Be Able to Do

🔢

Tell a rational number from an irrational one

➗

Turn a recurring decimal into a fraction

📏

Mark a square root on the number line

🪐

Write and simplify in scientific notation

Two Families of Numbers

✅Rational numbers
Can be written as \( \frac{a}{b} \)
The decimal stops or repeats
\( \frac{5}{8} \), \( -7 \), \( 0.\overline{3} \)
VS
🚫Irrational numbers
Cannot be written as \( \frac{a}{b} \)
The decimal neither stops nor repeats
\( \sqrt{2} \), \( \sqrt{7} \), \( \pi \)

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Presenter notes: Today we sort numbers into two families and learn a short way of writing very large and very small numbers.