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Homework Solutions. Lesson 6. Mark pg 17. 1a ) Real numbers 1b) Integers 1c) square root 1d) irrational number 1e) square numbers 2). Mark pg 17. 3a). Mark pg 17. 3b) 1 000 x 5 x 2/5 + 1 x 0 = 5 000 x 2/5 + 0 = 2 000 + 0 = 2 000 3c) 5/6 – 0 x 6/5
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Homework Solutions Lesson 6
Mark pg 17 1a) Real numbers 1b) Integers 1c) square root 1d) irrational number 1e) square numbers 2)
Mark pg 17 3a)
Mark pg 17 3b) 1 000 x 5 x 2/5 + 1 x 0 = 5 000 x 2/5 + 0 = 2 000 + 0 = 2 000 3c) 5/6 – 0 x 6/5 = 5/6 – 0 = 5/6 3d) 6 x 3 x 1/18 + 9 + 0 = 18 x 1/18 + 9 + 0 = 1 + 9 + 0 = 10
Mark pg 17 4) 5a) 422 800 / 1 00 = 4 228 5b) 422 801,15 / 101 = 4 186,15 5c) 4 228 – 4 186,15 = 41,85 6a) 18; 36; 54; 72 => 72 is 4th multiple of 18 6b) 36 as square root of 36 is 6
Mark pg 17 7a) 150 min : 1½ h 150 min : 90 min 150 = 2 x 3 x 5 x 5 90 = 2 x 3 x 3 x 5 HCF = 2 x 3 x 5 = 30 Divide both sides by 30 5 : 3
Mark pg 17 7b) 150 cm : 1 060 mm 1 500 mm : 1 060 mm 1 500 = 2 x 2 x 3 x 5 x 5 x 5 1 060= 2 x 2 x 5 x 53 HCF = 2 x 2 x 5 = 20 Divide both sides by 20 75 : 53
Mark pg 17 8) 18 / 5 = 3,6 72/25 = 2,88 18 : 5 as 3,6 > 2,88 9) Bell: 8:00; 8:10; 8:20; 8:30 Buzzer: 8:00; 8:15; 8:30 => 8:30 10) 100% = 228 1% = 228 / 100 = 2,28 114% = 2,28 x 114 = R259,92 = R260
Mark pg 17 11) Milk : Water 125 ml : ½ l 125 ml : 500 ml 125 = 5 x 5 x 5 500 = 2 x 2 x 5 x 5 x 5 HCF = 5 x 5 x 5 = 125 Divide both sides by 125 1 : 4
Mark pg 17 12) Men: 13 / 108 = 0,1203 Women: 32 / 233 = 0,1373 Women has greater fraction 13) S = 100 km / h t = 3 hours 2o min = 3 + 20/60 = 3,3333 h d = s x t = 100 km / h x 3,3333 h = 333,33 km s = d / t = 333,33 km/h = 2,6666 h = 125 km/h
Mark pg 17 14) P = 800; t = 3; SI = 168; r = ? SI = prt / 100 168 = 800(r)(3) / 100 168 = 24r Divide both sides by 24 r = 7 15) P = 5 600; r = 7,5; n = 4 Interest = 7 478,63 – 5 600 = R1 878,63
Mark pg 17 16) Learners remaining after filling single desks = 33 – 9 = 24 Double desks takes 2 learners Number of double desks = 24 / 2 = 12 17) Longer means less gardeners 6 x 2 = 12 12 / 3 = 4 gardeners