# 1 tray of toffee 1 bar of toffee. 10 In the decimal number, 0 7, the 7 refers to 7 tenths or

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1 Chpter 3 Deciml Numers Do you know wht DECIMAL is? In chpter, we delt with units, s, 0 s nd 00 s. When you tke single unit nd divide it into (or 0 or 00) its, wht we then hve re deciml frctions of whole numer. For exmple, let us look t rectngulr try of toffee s our UNIT of mesure. try of toffee r of toffee = (of try) or 0 The try of toffee shown ove hs een cut into equl rs. Ech it is of the whole try nd is written s 0. (clled tenth). In the deciml numer, 0 7, the 7 refers to 7 tenths or 7. Exercise. In this question, stnds for try of toffee ( whole numer). stnds for r (0 ). Wht deciml numers do the following digrms represent? c d e f (...) this is Chpter Three pge 33 DECIMALS

2 2. Drw net pictures, in the sme style s shown in question, to represent : c 2 5 d Shown opposite is whole dish of lsgn which hs een divided into its. Wht numers re represented in the following digrms? c d e f 4. A round pizz is divided into pieces. Three pieces re removed. Wht deciml does the remining shded prt represent? The Second Deciml Plce When our try of toffee ws divided into equl rs, ech r ws clled tenth ( ). Wht hppens when ech r of toffee is cut into equl locks? r whole try (cut) of r (cut) lock 0 = of or 0 0 => when tenth is then cut into equl locks ech it is ( of ) = 0. 4 In the deciml numer, 0 04, the 4 refers to 4 hundredths or Wht deciml numers re represented in the digrms elow? c this is Chpter Three pge 34 DECIMALS

3 6. Here re nother two digrms. Wht numers do they show? stnds for unit. 7. Drw net pictures, in the sme style s shown in questions 5 nd 6, to represent : c 2 26 d In the deciml numer 24 58, wht does the 5 men? 8 men? 9. Wht does the 3 stnd for in these numers : c 2 3 d 57 83?. Arrnge the following numers in order, smllest first :- 0 95, 6, 0 7, 04, 0 09, 6.. Wht numer is :- up from 2 3 down from 2 6 c 7 up from 3 d up from 0 4 e down from 8 f up from 25? Wht numer lies hlf wy etween :- 0 nd nd 0 9 c 2 6 nd 2 8 d 2 3 nd 2 7 e 2 nd 3 f 0 4 nd 0 5? 3. The verge of two numers lies right in the middle of the numers. c Alice is 3 metres tll nd Johnnie is 6 metres tll. Wht is their verge height. One wooden room hndle is 8 metres long nd nother is 2 metres long. Wht is their verge length. Jenny weighs 34 5 kg. The verge weight of Jenny nd Lind is 36 kg. Wht must Lind s weight e? this is Chpter Three pge 35 DECIMALS

4 Reding Deciml Scles One Deciml Plce Before deciding which numer n rrow is pointing to, look firstly t the 2 whole numers which lie on either side of the rrow The rrow lies etween 2 nd 3. It must e 2... (something). It is in fct 2 8 (cn you see this?) Exercise 2. Write down the length of ech cr in metres : m m c (creful!) m 2. To wht deciml numers re the rrows pointing? c d e f this is Chpter Three pge 36 DECIMALS

5 3. Look t these digrms. Wht numer is the rrow pointing to in ech cse? c d e Two Deciml Plces Look t the 2 deciml numers shown on the scle which lie on either side of the rrow. (the 3 nd 4) The rrow points to etween 3 nd 4. It hs to e 3... ( 3 something) It points to 32 (cn you see this?) 4. Write down the length of ech crtoon insect : cm cm The nswer is NOT 2 37 cm! this is Chpter Three pge 37 DECIMALS

6 5. To wht numers re the rrows pointing? c d e f g NOT ( 22) h i j k l m n o p Look t the scle elow nd write down wht numers the rrows A, B, C... re pointing to A B C D E F this is Chpter Three pge 38 DECIMALS

7 Rounding to the nerest Whole Numer 4 37 lies etween 4 nd 5. It is closer to 4 (the nerest whole numer) lies etween 20 nd 2. It is closer to 2 (the nerest whole numer). When rounding to the nerest whole numer :- => look t the first digit which comes just fter the deciml point :- if it is 5, 6, 7, 8 or 9 => round up to the next whole numer. if it is 0,, 2, 3 or 4 => leve the whole numer efore the point s it is. Exmples :- 2 4 = 2 to the nerest whole numer. 2 7 = 3 to the nerest whole numer. 2 5 = 3 to the nerest whole numer = 2 to the nerest whole numer. Exercise 3. When ech deciml is rounded to the nerest whole numer, which of the two numers in the rckets is the correct nswer : 4 2 (4 or 5)? 6 7 (6 or 7)? c 3 9 (3 or 4)? d 4 ( or 2)? e 6 ( or )? f 4 97 (4 or 5)? g 8 5 (8 or 9)? h 8 05 (8 or 9)? i (40 or 4)? j 0 39 (0 or )? 2. Copy nd complete these sttements : 6 7 lies etween 6 nd 7. It is closer to? 4 3 lies etween 4 nd? It is closer to? c 7 5 lies etween? nd? It is closer to? (rememer the rule) d 58 lies etween? nd? It is closer to? e 5 34 lies etween? nd? It is closer to? f 0 83 lies etween? nd? It is closer to? g 8 lies etween? nd? It is closer to? h lies etween? nd? It is closer to? i 58 8 lies etween? nd? It is closer to? this is Chpter Three pge 39 DECIMALS 3. Round these to the nerest whole :-

8 3. Round these to the nerest whole : c 3 40 d 8 70 e 2 80 f 4 50 g 7 39 h 8 72 i 0 34 j 0 5 k 0 50 l Round these mesurements to the nerest whole centimetre :- 7 4 cm 8 6 cm c 9 8 cm d 2 cm e 3 47 cm f 6 85 cm g 5 29 cm h cm i cm j cm k 42 4 cm l cm 5. To round numers like to the nerest whole numer : Step check wht two numers it lies etween - (3 nd 4) Step 2 decide which whole numer it is closer to > 4 Round these numers to the nerest whole numer, in the sme wy : > > c > d > e > f > g > h > i > j > k > l > 6. Use your clcultor to do the following divisions. Write down the nswers, correct to the nerest whole numer : c 78 5 d 4 27 e f g h i j 5 4 k l m A group of 4 jnitors won 3525 on the lottery. How much did they ech get? n A piece of wood 84 cm long is swn into 5 logs. How long is ech log? o 20 litres of juice is shred etween children. How much does ech get? Here is how you cn find reminders using your clcultor > Use your clcultor to show 37 7 = Now find 7 x 9 = 33 Now find > reminder = 4 7. Find the reminder in ech of the following (using the method shown ove) : c d 00. this is Chpter Three pge 40 DECIMALS

9 Adding & Sutrcting Decimls When you dd or sutrct deciml numers, it is importnt to line up the deciml point. For exmple :- To dd 4 6 nd 2 82 => Exercise 4. Try to do the following mentlly. Write down the nswers to : c d e f g h i j k l m n o p q r s t Wht is the totl length of ech of the following tools? (Try to do it mentlly). 7 5 cm c 3. Try the following mentlly :- 8 2 cm 2 7 cm 2 5 cm An empty wtering cn weighs 4 5 kilogrms. 2 6 kilogrms of weedkiller re poured into the cn. Wht is the comined weight? 7 8 cm 5 9 cm c d Mry lives 8 3 miles from the nerest Post Office. The us tkes her 7 9 miles long the wy. How fr hs Mry still to wlk? Three girls received pocket money. Ann got 8 30, Jn got 5 50 nd Frn got 6. Wht ws their totl mount of pocket money? Bo cycles 2 4 km from his home to meet Joe. Joe trvels 3 2 km from his home to meet Bo. After their meeting, they oth return to their own homes. Wht is the totl distnce of oth their journeys? this is Chpter Three pge 4 DECIMALS

10 4. Copy the following nd find : c 4 7 d e 7 35 f 4 48 g 7 04 h i 5 72 j 3 56 k 28 4 l m 8 5 n 43 8 o 72 4 p q 7 58 r 8 49 s 5 08 t u 5 24 v 8 67 w 5 0 x Clculte : c d e f g h i j k l Blythe ought swimming costume for nd swimming cp t How much did she spend ltogether? 7. Jmes ought skte ord for 9 75 ut sold it the following yer for How much did he lose on the del? 8. In diving competition the UK judge wrded 2 7 points less thn the French judge. The French judge gve the diver 9 3 points. Wht mrk did the UK judge wrd? this is Chpter Three pge 42 DECIMALS

11 9. The postmn is delivering two prcels. One weighs 7 7 kg, the other weighs 32 8 kg. Wht is the totl weight of the prcels?. From Renfrew to Bishopriggs Bishopriggs Burgh of Renfrew is 3 07 miles. Bishopriggs 3 07 From Renfrew to Chryston is 5 02 miles. Renfrew Chryston 5 02 How fr is it from Bishopriggs to Chryston?. In ny one week Potted Blue plnt cn grow 0 85 cm. The Potted Red plnt cn grow 23 cm. How much tller cn the Potted Red e thn the Potted Blue fter one week? 2. A computer footll gme priced t ctully ppered on the Internet for Tny weighs kilogrms nd Lis weighs kilogrms. Wht is their comined weight? How much of sving ws this? Chryston By how much is Tny hevier thn Lis? 4. Two crs nd lorry re shown. How much longer is the lorry thn (i) the red cr (ii) the lue cr? Clculte the difference in length etween the red cr nd the lue cr m 3 07 m 6 3 m 5. The fres for the crossing from Wumiss By to the Islnd of Hute re shown in the tle. Wht price for :- (i) dult nd child? (ii) cr with dult? (iii) 2 uses? Wht chnge will you get from 50 if you py for cr with dult nd child? Adult 8 45 Child 5 48 Cr Bus this is Chpter Three pge 43 DECIMALS

12 Topic in Nutshell. Wht deciml numer is represented y this digrm? (this represents whole unit) 2. In the deciml numer 73 94, wht does the :- 7 stnd for 3 stnd for c 9 stnd for d 4 stnd for? 3. Wht deciml numers re the rrows pointing to? Round the following to the nerest whole numer c 3 39 d Do the following mentlly (no working) : c d Copy the following nd find : c 9 6 d e f g h i j Json uys ox of disks for 3 94 nd CD clener for How much chnge should he receive from? 8. Mr Porter ought pir of windscreen wiper ldes t 4 25 ech nd 6 cr ir-fresheners t 24 ech. How much did it cost him in totl? (show ll your working) He hnded over 20 note. How much chnge did he get? 9. Clculte the perimeter of this rectngulr lwn m 5 2 m this is Chpter Three pge 44 DECIMALS

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