## Thursday, January 20, 2011

### Mathematics Definitions by Chinni

4 :Index notation: Index notation is used to repesentent powers, for example
a2 means a × a and here the index is 2
b3 means b × b × b and here the index is 3
c4 means c × c × c × c and here the index is 4
etc.
When there is a number in front of the variable:
4d2 means 4 × d × d.
2e3 means 2 × e × e × e
5: HCF:
 Highest Common FactorThe largest common factor of two or more numbers is called the highest common factor (HCF). Setting out:Often, we set out the solution as follows:6: LCM:
 Lowest Common MultipleThe smallest common multiple of two or more numbers is called the lowest common multiple (LCM).E.g. Multiples of 8 are 8, 16, 24, 32, … Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, … In general:To find the lowest common multiple (LCM) of two or more numbers, list the multiples of the larger number and stop when you find a multiple of the other number. This is the LCM. Example 3Find the lowest common multiple of 6 and 9.Solution:List the multiples of 9 and stop when you find a multiple of 6.Multiples of 9 are 9, 18, … Multiples of 6 are 6, 12, 18, …