8/13/2019 Common Maths

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A prime numbercan be divided, without a remainder, only by itself and by 1. For example,

17 can be divided only by 17 and by 1 To prove whether a number is a prime number, first

try dividing it by , and see if you get a whole number. !f you do, it can"t be a prime number.

f you don"t get a whole number, next try dividing it by prime numbers# $, %, 7, 11 &' is

divisible by $( and so on, always dividing by a prime no.

$ % 7 11 1$ 17 1' $ ' $1 $7 )1 )$ )7

%$ %' *1 *7 71 7$ 7' +$ +' '7 11 1$ 17 1' 11$

17 1$1 1$7 1$' 1)' 1%1 1%7 1*$ 1*7 17$ 17' 1+1 1'1 1'$ 1'7

1'' 11 $ 7 ' $$ $' )1 %1 %7 *$ *' 71 77 +1

+$ '$ $7 $11 $1$ $17 $$1 $$7 $)7 $)' $%$ $%' $*7 $7$ $7'

$+$ $+' $'7 )1 )' )1' )1 )$1 )$$ )$' ))$ ))' )%7 )*1 )*$

)*7 )7' )+7 )'1 )'' %$ %' %1 %$ %)1 %)7 %%7 %*$ %*' %71

%77 %+7 %'$ %'' *1 *7 *1$ *17 *1' *$1 *)1 *)$ *)7 *%$ *%'

**1 *7$ *77 *+$ *'1 71 7' 71' 77 7$$ 7$' 7)$ 7%1 7%7 7*1

7*' 77$ 7+7 7'7 +' +11 +1 +$ +7 +' +$' +%$ +%7 +%' +*$

+77 ++1 ++$ ++7 '7 '11 '1' '' '$7 ')1 ')7 '%$ '*7 '71 '77

'+$ ''1 ''7

Natural Numbers are what you use when you are counting one to one ob-ects. ou may becounting pennies or buttons or coo/ies. 0hen you start using 1,,$,) and so on, you are

using the counting numbers or to give them a proper title, you are using the natural

numbers.

whole numbers, which are the natural numbers together with ero2 , 1, , $, ), %, *, ...

ntegers, which are ero, the natural numbers, and the negatives of the naturals#., 3*, 3%, 3),3$, 3, 31, , 1, , $, ), %, *, ...

4eal numbers include natural numbers, whole numbers, integers, rational numbers andrrational numbers. 4eal numbers also include fraction and decimal numbers.

A rational number is a number that can be written as a ratio. That means it can be written asa fraction, in which both the numerator &the number on top( and the denominator &thenumber on the bottom( are whole numbers. The number + is a rational number because itcan be written as the fraction +51. 6i/ewise, $5) is a rational number because it can bewritten as a fraction. ven a big, clun/y fraction li/e 7,$),'+5%*,$,)' is rational, simplybecause it can be written as a fraction.very whole number is a rational number, becauseany whole number can be written as a fraction. For example, ) can be written as )51, *% can

be written as *%51, and $,+*7 can be written as $,+*751.

An irrational number can be written as a decimal, but not as a fraction. An irrational number

has endless non2repeating digits to the right of the decimal point. 8ere are some irrational

numbers# 9 : $.1)1%' : 1.)1)1$ Although irrational numbers are not often used in

daily life, they do exist on the number line. !n fact, between and 1 on the number line,

there are an infinite number of irrational numbers;

Finding Area 1.