Number MULTIPLICATION BY 10, 100, 1000. X 10 When multiplying whole numbers by 10 we write the number then add a nought on the end. e.g. (i) 2 x 10 = 20 add a nought Have a go at the exercise below. A. 1) 3 x 10 = 2) 4 x 10 = 3) 6 x 10 = 4) 7 x 10 = 5) 9 x 10 = Can you see the pattern? e.g. (ii) 21 x 10 = 210 55 x 10 = 550 60 x 10 = 600 f lex i p Now have a go at these: 6) 32 x 10 = 7) 51 x 10 = 8) 19 x 10 = 9) 16 x 10 = 10) 81 x 10 = 11) 40 x 10 = ac k s 1 Number 12) 30 x 10 = 13) 50 x 10 = 14) 122 x 10 = 15) 359 x 10 = 16) 428 x 10 = 17) 120 x 10 = 18) 210 x 10 = 19) 370 x 10 = 20) 560 x 10 = 21) Toilet rolls cost 31 pence each. How much would it cost for a pack of 10 rolls? 22) 10 friends go on holiday. The holiday costs them £220 each. How much would that be altogether? 23) Sanjay collects 10 pence pieces in a jar. If he has collected 92, how much money does he have? 24) Kitchen tiles are 10cm wide, how long would a row of 25 tiles be? 25) On average a match box holds 78 matches. How many would there be in 10 boxes? f lex i p X 100 B. Work out the answers to the questions below 1) 2 x 100 = 2) 5 x 100 = 3) 6 x 100 = 4) 8 x 100 = 5) 7 x 100 = ac k s 2 Number Can you see the pattern? When we x 100, we add 2 noughts to the end of the number. e.g. 3 x 100 = 3 00 25 x 100 = 25 00 60 x 100 = 60 00 6) 9 x 100 = 7) 21 x 100 = 8) 35 x 100 = 9) 64 x 100 = 10) 29 x 100 = 11) 30 x 100 = 12) 40 x 100 = 13) 352 x 100 = 14) 621 x 100 = 15) 902 x 100 = 16) 100 people buy tickets costing £12 for a night out. How much money is taken? 17) 6 friends go on a camping holiday. The holiday costs them £100 each. How much money is this altogether? 18) A train travels at an average of 100km per hour. How many km will it go in 6 hours? 19) In a survey of families, 100 parents said that they had 2 children each. How many children is this altogether? f lex i p 20) A supermarket buys tins of baked beans in batches of 100. If they buy 19 batches, how many tins of baked beans is this? ac k s 3 Number x 1000 Can you guess how many noughts we add when we multiply a whole number by 1000? C. Have a go at these: 1) 2 x 1000 = 2) 3 x 1000 = 3) 8 x 1000 = You add 3 noughts e.g. 5 x 1000 = 5 000 21 x 1000 = 21 000 f lex i p Now have a go at these: 4) 9 x 1000 = 5) 24 x 1000 = 6) 36 x 1000 = 7) 29 x 1000 = 8) 84 x 1000 = 9) 20 x 1000 = 10) 60 x 1000 = 11) 324 x 1000 = 12) 215 x 1000 = 13) 601 x 1000 = 14) 439 x 1000 = 15) 10 x 1000 = ac k s 4 Number 16) A factory mkes 1000 cars in a week, if each car has 4 wheels, how many wheels will they need? 17) 8 people win £1000 each in a competition. How much money is this altogether? 18) Kit Kats come in packs of 5 biscuits. A supermarket gets a delivery of 1000 packs. How many biscuits is that altogether? 19) A concert is sold out. 1000 tickets have been sold at £8 each. How much money has been taken altogether? 20) A box of pins holds 1000 pins. How many pins would there be in 27 boxes? Multiplication by 20, 30, 40 etc. If we want to multiply by a number with a nought on the end, such as 20 or 30, we can use what we know about multiplying by 10 (i.e. adding a zero), then just do a short multiplication. If we want to multiply by 20. We can x 2 then x by 10 by adding a nought f lex i p so 1 x 20 2 x 20 12 x 20 is is is 1 x 2 = 2, 2 x 2 = 4, 12 x 2 = 24, then add a nought then add a nought then add a nought 20 40 240 D. Now have a go at the following exercise. 1) 4 x 20 = 2) 7 x 20 = 3) 13 x 20 = 4) 14 x 20 = 5) 24 x 20 = 6) 32 x 20 = 7) 13 x 30 = ac k s 8) 15 x 30 = 5 9) 39 x 30 = Number 10) 44 x 30 = 11) 125 x 20 = 12) 64 x 50 = 13) 124 x 40 = 14) 201 x 60 = 15) 555 x 50 = This method also works if we want to multiply by a number with 2 noughts on the end, such as 200 or 300. If we want to multiply by 400 we can x 4, then x 100 by adding 2 noughts so 2 x 400 26 x 400 is is 2 x 4 = 8, 26 x 4 = 104, then x 100, then x 100, 800 10400 E. Now have a go at the exercise. 1) 8 x 200 2) 6 x 400 3) 2 x 700 4) 7 x 500 5) 9 x 300 6) 3 x 600 7) 12 x 200 8) 6 x 400 9) 7 x 500 10) 18 x 900 11) 27x 300 12) 40 x 700 13) 2 x 1600 14) 7 x 3500 15) 9 x 7800 f lex i p Check your answers, then discuss with your tutor what you need to work on next. ac k s 6 Number Answers Multiplication by 10, 100, 1000 A f lex i p B 1) 30 2) 40 3) 60 4) 70 5) 90 6) 320 7) 510 8) 190 9) 160 10) 810 11) 400 12) 300 13) 500 14) 1220 15) 3590 16) 4280 17) 1200 18) 2100 19) 3700 20) 5600 21) 310p or £3.10 22) £2200 23) 920p or £9.20 24) 250 cm 25) 780 matches 1) 200 2) 500 3) 600 4) 800 5) 700 6) 900 7) 2100 8) 3500 9) 6400 ac k s 7 Number f lex i p C 10) 2900 11) 3000 12) 4000 13) 35200 14) 62100 15) 90200 16) £1200 17) £600 18) 600 km 19) 200 children 20) 1900 tins 1) 2000 2) 3000 3) 8000 4) 9000 5) 24000 6) 36000 7) 29000 8) 84000 9) 20000 10) 60000 11) 324000 12) 215000 13) 601000 14) 439000 15) 10000 16) 4000 wheels 17) £8000 18) 5000 biscuits 19) £8000 20) 27000 pins ac k s 8 Number D f lex i p E 1) 80 2) 140 3) 260 4) 280 5) 480 6) 640 7) 390 8) 450 9) 1170 10) 1320 11) 2500 12) 3200 13) 4960 14) 12060 15) 27750 1) 1600 2) 2400 3) 1400 4) 3500 5) 2700 6) 1800 7) 2400 8) 2400 9) 3500 10) 16200 11) 8100 12) 28000 13) 3200 14) 24500 15) 70200 ac k s 9