Indices and Surds.

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Presentation transcript:

Indices and Surds

Indices 1B Indices (Powers) You need to be able to simplify expressions involving Indices, where appropriate. 1B

Indices 1B Indices (Powers) You need to be able to simplify expressions involving Indices, where appropriate. Examples a) b) c) d) e) f) 1B

Indices 1F Extending the rules of Indices The rules of indices can also be applied to rational numbers (numbers that can be written as a fraction) Examples a) b) c) d) 1F

Indices 1F Extending the rules of Indices The rules of indices can also be applied to rational numbers (numbers that can be written as a fraction) Examples a) b) c) d) 1F

Indices 1F Extending the rules of Indices The rules of indices can also be applied to rational numbers (numbers that can be written as a fraction) Examples a) b) 1F

SURDS

Surds 1G Surd Manipulation You can use surds to represent exact values. Examples Simplify the following… a) b) c) 1G

Surds 1H Rationalising Examples Rationalising is the process where a Surd is moved from the bottom of a fraction, to the top. Examples Rationalise the following… a) Multiply top and bottom by Multiply top and bottom by Multiply top and bottom by 1H

Surds 1H Rationalising Examples Rationalising is the process where a Surd is moved from the bottom of a fraction, to the top. Examples Rationalise the following… b) Multiply top and bottom by Multiply top and bottom by Multiply top and bottom by 1H

Surds 1H Rationalising Examples Rationalising is the process where a Surd is moved from the bottom of a fraction, to the top. Examples Rationalise the following… c) Multiply top and bottom by Multiply top and bottom by Multiply top and bottom by 1H