Unit 6 Indices and Factors Presentation 1Square and Square Roots Presentation 2Cube and Cube Roots Presentation 3Index Notation Presentation 4Rules of Indices Presentation 5Factors Presentation 6Prime Factors Presentation 7HCF and LCM Presentation 8Negative Indices

Unit 6 Indices and Factors Square and Square Roots

What is We say that 4 is the square root of 16

So is also a square root of 16 We write What is

What is the square root of 25? as

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Unit 6 Indices and Factors Cube and Cube Roots

What is We say that the cube root of 125 is 5 and that or

What is Also

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Unit 6 Indices and Factors Index Notation

What is

Find n if So

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Unit 6 Indices and Factors Rules of Indices

Verify rule for (using rule) But (as before!) m and n are integers

Verify rule for But (as before!)

Verify rule for But (as before!)

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Unit 6 Indices and Factors Factors

A factor of a positive whole number is any positive whole number that will divide exactly into it. Example:Find all the factors of 20 You can write 20 as: So factors of 20 in increasing order are:

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Unit 6 Indices and Factors Prime Factors

Any positive whole number can be written uniquely as the product of its prime factors. Example:Write the number 276 as a product of its prime factor This is unique ? ? ?

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Unit 6 Indices and Factors HCF and LCM

The HCF (Highest Common Factor) of two (or more) positive integers is the largest number which is a factor of both (or all) the numbers. Example:Find the HCF of 120 and 105 So, HCF = 3 x 5 = 15 Check:,

The LCM (Lowest Common Multiple) of two (or more) positive integers in the lowest number into which both (or all) of the numbers can divide exactly. Example:Find the LCM of 24 and 60 Multiples of 24 are: Multiples of 60 are: So LCM = 120 Check, 24,48,72,96,120,144,... 60,120,180,240,300,...

You have finished viewing the presentation HCF and LCM Please choose an option Return to the Start Presentation 1Square and Square Roots Presentation 2Cube and Cube Roots Presentation 3Index Notation Presentation 5Negative Indices Presentation 6Standard Form Presentation 7Calculations and Standard Form

Unit 6 Indices and Factors Negative Indices

We define Evaluate

You have finished viewing the presentation Negative Indices Please choose an option Return to Start Presentation 1Square and Square Roots Presentation 2Cube and Cube Roots Presentation 3Index Notation Presentation 4Rules of Indices Presentation 5Factors Presentation 6Prime Factors Presentation 7HCF and LCM