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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