# decimals p4 - Maths Study Sheet decimals dealing with...

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Unformatted text preview: Maths Study Sheet ?' decimals dealing with number systems part 4 This WIT cunsists {if 4 parts Part 4: Yeu are intreduced te seme sets uf numbers. When veu have werked threugh the Part, veu will have met I ratienal numbers I irratienal numbers Ir real numbers and their representatiens en a real number ]jne. Prerequisites:- Seme familiarity with integers, fractiens and decimals. All the numbers we have enceuntered se Far, natural (cuunting) numbers, integers (pesitive and negative whele numbers tngether with stern} and fractiensf decimals which terminate er recur in a pattern, are knuwn as ratiunal numbers. It is, nf cuurse, pessible re write a decimal number which gees en fer ever and which dries nut recur in a pattern. F'crr instance, 0.1269375]? . . . . There are same special numbers which eccur in mathematics er science which are at this kind. They are dennted by a special letter because ef their usefulness. Examples are 31' and ‘5’. It is pessible te give enlv appresimate values fer these numbers. We eitcn use ﬂI'm-£31.14 and F 3.2718 giving 2 and 3 decimal pace accuracy respectively. Numbers el this kind are called irratienal numbers. The ratiunals and irratienals tegcthcr make up the set c-t real numbers. The}: can each be represented by a peint en a line, knewn as the real number line. —0 35 0.25 1.6 e 11: Integers Irratienal “1.1th11: = [gal numb ers Ceunting numbers 1,2,3, . . . Ratienal numbers Every real number has a pesitien en this line, and every peint en the line eerrespends te a real number. i‘er man},I ef us this is all we’ll ever need te knew abeut numbers. llewever, in erder te selve seine preblems vvhieh eeeurs in srienee and engi- neering, this system ean be extended even further. r1 very,I simple inventien, giving a name [i er 3] te the number “is” ‘1 leads te a set ef temples: numbers, whieh ineludes all the real numbers. Hewever, that is a challenge fer the future! ...
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decimals p4 - Maths Study Sheet decimals dealing with...

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