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Mathematics / Real Numbers

Mathematics / Real Numbers

A number which can be represented by a unique point on the number line and a number whose square is non-negative is called a real number. Between two real numbers there exists infinitely many real numbers. This includes both rational and irrational numbers. Infinity is not a real number.

Exercises
Lessons
Topics
Exercises
Lessons
Topics
  • Operations on Rational Numbers

    • Questions: 75

    Irrational Numbers

    • Questions: 175

    Exponents and Surds

    • Questions: 75

    Euclids Division Lemma -- SmartTest

    This is an exercise that tests your knowledge of Euclid's Division Lemma and how to use it to find HCF of two numbers.

    • Questions: 151

    Real Numbers -- SmartTest

    • Questions: 151

    The Fundamental Theorem of Arithmetic -- SmartTest

    • Questions: 151
    • Revision of natural numbers, integers, rational numbers and irrational numbers
    • Existence of irrational numbers and their representations on the number line
    • Real Numbers and Number Line
    • Properties of real numbers
    • Definition of nth root of a real number
    • Surds - Definition
    • Forms of surds
    • Operations and Laws of surds
    • Rationalization of Surds
    • Absolute value of real numbers
    • Euclid's division Lemma
    • Fundamental theorem of Arithmetic
  • The Number System -- Summary

    Learnhive Lesson on The Number System

    Rational Numbers -- Summary

    Learnhive Lesson on Rational Numbers

    BODMAS -- Summary

    Learnhive Lesson on BODMAS

    Rational numbers

    Learnhive Lesson on Rational numbers

    Real numbers

    Learnhive Lesson on Real numbers

    Irrational Numbers -- Summary

    Learnhive Lesson on Irrational Numbers

    Real Numbers -- Summary

    Learnhive Lesson on Real Numbers

    Euclids Division Lemma -- Summary

    Learnhive Lesson on Euclids Division Lemma

    Fundamental Theorem of Arithmetic -- Summary

    Learnhive Lesson on Fundamental Theorem of Arithmetic

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