By Alan Graham
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Additional resources for Basic Mathematics: Teach Yourself
So ten is an even number. 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.
5 4 × 3 7 3 52 8 0 Multiply the unit digit (4) by 3 (4 × 3 = 12). Write down the 2 in the tens column and carry the 1 hundred over to the hundreds column (shown here by a small ‘1’ below the 3). 5 × 3 3 52 12 Multiply the tens digit (5) by 3 (5 × 3 = 15). Write down the 5 in the hundreds column and carry the 1 thousand over to the thousands column (shown here by a ‘1’ in the previously empty thousands column). This completes the ‘multiplying by 3 tens’ part. 5 4 × 3 7 3 52 8 1 51 2 0 Finally, add all the sub-totals together (including the small digits).
Try these. a Multiplying by 10: Multiplying a whole number by 10 is easy – just add zero. So 6 × 10 = 60, 9 × 10 = 90, 115 × 10 = 1150, and so on. b As a useful check on your answer, any multiplication that includes an even number always gives an answer that is an even number. Thus 12 × 7 or 9 × 16 will both give an even answer because 12 and 16 are even. Note that even numbers are easy to spot since their last digit is always even. So, 12, 38, and 126 are even, but 37 and 83 are not. 3. Calculating with numbers 43 c Break it in two: Suppose you are multiplying by 6; this is the same as multiplying by 3 and then by 2.