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How to use the Chunking Method for Division. 172. 4. For this example, we will use the sum: 172 ÷ 4 . The first thing we do is write 172 at the top of our page. ). 172 - 100. 4. Next, think of an easy multiple of four. In this example, we know that 4 lots of 25 is 100.
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172 4 For this example, we will use the sum: 172 ÷ 4. The first thing we do is write 172 at the top of our page. )
172- 100 4 Next, think of an easy multiple of four. In this example, we know that 4 lots of 25 is 100. We can then subtract 100 from 172. This is our first ‘chunk’. )
172- 100 (x25) 4 Next to 100, jot down that this is 25 lots of 4 (so 4 x 25). Then draw a line underneath. )
172- 100 (x25) 4 It is the same as saying: “We can take a manageable chunk of our total to work with. If we take 100 of our total of 172, we know that there are 25 lots of 4 in 100.” )
172- 100 (x25) 72 4 Next, we subtract 100 from 172, leaving us with 72. We carry this out as a subtraction calculation. )
172- 100 (x25) 72- 40 4 We can now think of another easy multiple of 4 which is close to, but lower than 72. In this case, we know 40 is 4 x 10. We write it underneath 72. This is our second ‘chunk’. )
172- 100 (x25) 72- 40 (x10) 4 Again, we know that 40 is 10 lots of 4 (4 x 10) and so we make a note of that in our calculation. )
172- 100 (x25) 72- 40 (x10) 32 4 As we did before, we now subtract 40 from our remaining total (72 – 40). )
172- 100 (x25) 72- 40 (x10) 32- 32 (x8) 4 Now, we use our multiplication tables to divide 32 by 4. We know that 8 x 4 = 32. )
172- 100 (x25) 72- 40 (x10) 32- 32 (x8) 0 4 Since 4 x 8 = 32, there won’t be a remainder. )
172- 100 (x25) 72- 40 (x10) 32- 32 (x8) 0 4 The final step is to add the numbers down the right hand side of our calculation. )
172- 100 (x25) 72- 40 (x10) 32- 32 (x8) 0 4 When we add 25, 10 and 8 together, we get a total of 43. ) 2 5 +10 + 8 4 3
172- 100 (x25) 72- 40 (x10) 32- 32 (x8) 0 4 This is our answer. 172 ÷ 4 = 43 ) 2 5 +10 + 8 4 3