Division with Decimals What is division? means: how many piles of ….. can you make? This can be demonstrated using the denomination of cups Denomination is ‘what we are counting in’ 10 2 = 5

Division with Decimals When the numbers get bigger it is no longer practical to use or draw cups. However the principle stays the same. 60 15 = How many piles of 15 can we make? 15 4 piles so 60 15 = 4 The denomination can be anything we want it to be: 60 pens can be put into 4 piles of 15 pens 60 tables can be put into 4 piles of 15 tables 60 tens can be put into 4 piles of 15 tens 60 0 15 0 = 4 60 hundreds can be put into 4 piles of 15 hundreds 60 00 15 00 = 4

Division with Decimals Lets see how we can use this with decimals 0.6 0.2 We can say that the denomination is tenths 6 tenths 2 tenths How many piles of 2 tenths can we make out of 6 tenths? So the calculation now becomes: 6 2 = 3 (piles of 2 tenths) 6 0.2 = This will be easier if we think about the denomination of the quotient (the amount of ‘cups’ that I want in a pile) In this case the quotient is 0.2 This is 2 tenths, therefore we need to start thinking tenths There are 60 tenths in 6 and 2 tenths in 0.2 so the calculation becomes: 60 2 = 30

Division with Decimals Now try these: 1. 8 ¸ 0.2 = 2. 12 ¸ 0.4 = 3. 1 ¸ 0.5 = 4. 2 ¸ 0.4 = 5. 6 ¸ 0.3 = 6. 5 ¸ 0.02 = 7. 10 ¸ 0.05 = 8. 18 ¸ 0.03 = 9. 1.8¸ 0.6 = 10. 2.4¸ 0.08 = think tenths 80 ¸ 2 = 40 think tenths 120 ¸ 4 = 30 think tenths 10 ¸ 5 = 2 think tenths 20 ¸ 4 = 5 think tenths 60 ¸ 3 = 20 think hundredths 500 ¸ 2 = 250 think hundredths 1000 ¸ 5 = 200 think hundredths 1800 ¸ 3 = 600 think tenths 18 ¸ 6 = 3 think hundredths 240 ¸ 8 = 30 Can you see a quick way of finding the correct calculation?

Division with Decimals Harder Division 9506 7 = 1358 Draw the division box with the divisor outside 1 3 5 8 7 9 5 0 6 2 4 5 Now try these: 8 = 9 = 8472 12= 106 107 806

Division with Decimals Now try these: 8 = 9 = 8472 12=