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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