This guide accompanies the calculation video clips that can be found at www.stwilfridssheffield.co.uk Follow the ‘Children’ link then click maths resources. These can be used to support children at home or even by the children independently. Multiplication 10 – Long method Multiplication 1 – Repeated Addition 6 x 7 = 42 First, draw a number line showing 7 lots of 6. Then add these up using repeated addition. 0 add 6 equals 6. 6 add 6 equals 12. 12 add 6 equals 18. 18 add 6 equals 24. 24 add 6 equals 30. 30 add 6 equals 36. 36 add 6 equals 42. So 6 multiplied by 7 equals 42. 32 x 19 = 608 First, multiply 32 by 9. 2 x 9 equals 18 (which is 1 ten and 8 units). 30 x 9 equals 270, add 10, equals 280 (which is 2 hundreds and 8 tens). So 32 multiplied by 9 equals 288. Then multiply 32 by 10. 32 x 10 equals 320. Finally, add the two products. 288 add 320 equals 608. So 32 multiplied by 19 equals 608. Multiplication 2 – Repeated Addition Multiplication 9 – Short method 14 x 7 = 98 52 x 9 = 468 First, draw a number line. Then partition 14 and multiply each part by 7. 10 x 7 equals 70. 4 x 7 equals 28. Finally, use the number line to add the two products. 0 + 70 = 70. 70 + 28 = 98. So 14 multiplied by 7 equals 98. First, partition 52 in your head into tens and units. Then multiply each part by 9. 2 x 9 equals 18 (which is 1 ten and 8 units). 50 x 9 equals 450, add ten, equals 460 (which is 4 hundreds and 6 tens). So 52 multiplied by 9 equals 468. Multiplication 3 – Grid method Multiplication 8 – Short method 7 x 38 = 266 52 x 9 = 468 First, partition 38 into numbers which are easier to multiply. Write each part in a grid. Then multiply each part by 7. 10 x 7 equals 70. 10 x 7 equals 70. 10 x 7 equals 70. 8 x 7 equals 56. Finally, add the four products. 70 + 70 + 70 + 56 = 266. So 7 multiplied by 38 equals 266. First, partition 52 in your head into tens and units. Then multiply each part by 9. 2 x 9 equals 18. 50 x 9 equals 450. Finally, add the two products. 18 add 450 equals 468. So 52 multiplied by 9 equals 468. Multiplication 7 – Short method Multiplication 4 – Grid method 7 x 38 = 266 52 x 9 = 468 First, partition 38 into numbers which are easier to multiply. Write each part in a grid. Then multiply each part by 7. 30 x 7 equals 210. 8 x 7 equals 56. Finally, add the two products. 210 + 56 = 266. So 7 multiplied by 38 equals 266. First, partition 52 in your head into tens and units. Then multiply each part by 9. 50 x 9 equals 450. 2 x 9 equals 18. Finally, add the two products. 450 add 18 equals 468. So 52 multiplied by 9 equals 468. Multiplication 5 – Grid Method Multiplication 6 – Grid method 549 x 6 = 3294 23 x 17 = 391 First, partition 23 and 17 into numbers which are easier to multiply. Write each part in a grid. Then complete the grid using multiplication. 20 x 10 equals 200. 20 x 7 equals 140. 3 x 10 equals 30. 3 x 7 equals 21. Finally, add the four products. 200 + 140 + 30 + 21 = 391. So 23 multiplied by 17 equals 391. First, partition 549 into numbers which are easier to multiply. Write each part in a grid. Then multiply each part by 6. 500 x 6 equals 3000. 40 x 6 equals 240. 9 x 6 equals 54. Finally, add the three products. 3000 + 240 + 54 = 3294. So 549 multiplied by 6 equals 3294.
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