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# Learner Guide

Maths

Algebra

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Division Calculations

Knowing your times tables is very useful when dividing – since division is the

inverse of multiplication.  For simpler questions, you may want to use certain

mental methods when dividing.

 Example 1.    If you’re dividing by slightly difficult number, you can break it down to              make it easier.   Let’s say that the question is 112 ÷ 14   14 might be difficult to divide by mentally but, we know that 2 x 7 = 14.          So, what we can do is divide 112 by 2 first, which is 56. Then we can            divide 56 by 7 which is 8.   By breaking it down, the question became much easier and we now know      that 112 ÷ 14 = 8.   If a number doesn’t divide completely, you may end up with a remainder        at the end.   For example, 12÷ 5 wouldn’t fit fully so the answer would be 2 remainder      2, because 2 fives fit into 12 with 2 left over.

With decimals, the way to divide is very similar to the method used in

multiplication. You multiply it by 10 or 100 to get a whole number, do the

division, then divide your answer by what you multiplied in the beginning.

 Example 2.    Let’s say our question is 5.4 ÷ 9   We multiply 5.4 by 10 to get 54.   54 ÷ 9 = 6   We then divide 6 by 10 to get 0.6     —>    5.4 ÷ 9 = 0.6

For more complicated division questions, you might want to use a written

method such as long division. This involves subtracting multiples of the

number you are dividing by.

 Example 3     Let’s say the question is 496 ÷ 19. This is how it would look in long                division style.

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