By Alan Graham

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Ordering numbers Most calculators can be set up to produce number sequences. Here is a simple one to try. Press + 1 Now press = repeatedly. You should see the counting numbers in sequence: 2, 3, 4, 5, 6, … If this has not happened, try the following. Either: Press 1 + + and then the = repeatedly. Or: Press 1 + 1 and then the = repeatedly. What is going on here is that your calculator is doing a constant ‘add 1’ calculation. 2. The magic number machine 17 Insight The capability to perform ‘constant’ calculations like this is available on most calculators in some form.

Since 14 is 2 × 7, you can first divide by 2 (224 ÷ 2 = 112) and then divide by 7 (112 ÷ 7 = 16). PENCIL AND PAPER DIVISION Unlike pencil and paper addition, subtraction and multiplication, the usual written procedures for division are based on working from left to right, starting with the hundreds, then the tens and then the units. There are two traditional methods of pencil and paper division, known as ‘short’ and ‘long’ division. Long division is usually reserved for calculations involving large numbers.

However, perhaps your selection didn’t work out like this and, when the two equal rows were formed, there was an odd one over – like this: the odd one over When any selection of things that are laid out into two rows produce an odd one over, then there must have been an odd number of them. In this case, choosing 11 coins produced two equal rows of five each plus an odd one over. So 11 is an odd number. 1 will give you practice at deciding whether a number is even or odd. 1 Even or odd? For each number, mark the box corresponding to whether it is even or odd.

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