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Real Numbers Numbers that are used to count objects in real life are called REAL NUMBERS. These counting numbers can also be called natural numbers or positive integers eg 1, 2, 3,....... Integers are whole numbers which can be positive, negative or zero. eg -3, -2, -1, 0, 1, 2, 3,........... Integers can be added, subtracted, multiplied and divided, the same as natural numbers.   Irrational Numbers Using the Calculator Any number that can be expressed as a fraction or ratio is called a natural number Irrational Real Numbers, including some roots. Irrational numbers cannot be expressed as a fraction. They are infinite, non-recurring decimals such as Some square roots and cube roots etc cannot be evaluated exactly.   Using the calculator. On the calculator: to evaluate Press , the calculator screen shows 2.4494989743......, and to evaluate Press , the calculator screen shows 2.236067977.......

 

 

Examples

Multiplication of Surds

Addition of Surds

Simplification of Surds

Rationalising the Denominator

 

 

 

 

 

 

 

 

 

Multiplication of Surds Return to Examples                     Addition of Surds                  Return to Examples                    Simplification of Surds           A surd is in its simplest form if the number under the root sign           does not have a perfect square as one of its factors.               Return to Examples             Rationalising the Denominator              Return to Examples

 

Have a Go Problem 1 Multiplication Simplify: Problem 2 Addition Simplify:

 

Practice Questions Question 1 Simplify: Answer 36 Question 2 Simplify: Click to see answer Question 3 Simplify: Click to see answer Question 4 Simplify by rationalising the denominator: Click to see answer

 

Solution 1 back to Have a Go

Solution 2 back to Have a Go

 

 

 

 

 

 

Answer to Practice Question 2

 

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Answer to question 3

 

 

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Answer to Practice Question 4

 

 

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