Curriculum
Mathematics — Second Preparatory
Unit 1: Real Numbers
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Real Numbers
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Real Numbers — Lesson quiz
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Intervals and Operations on Them
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Intervals and Operations on Them — Lesson quiz
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Operations on Real Numbers
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Operations on Real Numbers — Lesson quiz
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Square and Cube Root Laws
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Square and Cube Root Laws — Lesson quiz
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Laws of Exponents
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Laws of Exponents — Lesson quiz
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Unit 2: Algebra
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Unit 3: Geometry
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Unit 4: Statistics
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Text lesson
Real Numbers
Real Numbers
Square roots and irrational numbers
Square roots and irrational numbers
- The square root of a positive number is the number that, multiplied by itself, gives the original number.
- If the number is a perfect square, such as 16 or 25, its square root is an integer and therefore rational.
- If the number is not a perfect square, its square root is irrational.
| Number | Type | Reason |
|---|---|---|
| 7/9 | Rational | A fraction with integer numerator and denominator |
| 0.5 | Rational | A terminating decimal equal to 1/2 |
| √25 | Rational | Equals 5, an integer |
| √10 | Irrational | 10 is not a perfect square |
| π | Irrational | Its decimal form neither ends nor repeats |
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