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  4. Level 5-6 Numbers - Negatives - Multiplication and Division
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Level 5-6 Numbers - Negatives - Multiplication and Division
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Level 5-6 Numbers - Negatives - Multiplication and Division

Multiplication and division aren't everyone's favourites in KS3 Maths, and the same goes for negative numbers. But mixing them isn't as tough as it sounds – it's quite straightforward if you remember the rules.

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There's a saying that two negatives make a positive, and it's true! When multiplying or dividing negative numbers, the rules are the same as with normal numbers, except for one thing. If the signs are the same (+ and + or - and -), the result is positive. If they're different (+ and -), the result is negative. For example:

 8 x 2 = 16
-8 x 2 = -16
-8 x -2 = 16
 8 ÷ 2 = 4
-8 ÷ 2 = -4
-8 ÷ -2 = 4

Remember this rule, and you'll be on the right track. Now, challenge yourself with the quiz on multiplying and dividing negative numbers.

1.
What is -2 x -5 x 17?
-170
35
170
350
It gets a little more complicated when there are more than two numbers involved!
2.
What is -7 x 8?
-78
-56
56
87
A negative x a positive = a negative
3.
What is -20 / 4?
-16
-12
-6
-5
Most calculators have a '+/-' button which gives a negative number
4.
What is (-100 ÷ -10) ÷ -5?
-2
0
2
10
The calculation in brackets is a negative ÷ a negative so the answer will be a positive. We then divide this positive by a negative so the answer will be a negative
5.
Which negative number do you need to times by itself to equal 81?
-3
-5
-7
-9
9 would also work but that wasn't on the list of answers!
6.
What is -43 / 5?
-8.6
-4.3
-2
20
One negative and one positive number equals a negative result
7.
What is -84 / -3?
-28
24
28
252
A negative ÷ a negative = a positive
8.
What is -4 x -4 x -4
-64
-12
12
64
Note that although the first two negative signs become positive (-4 x -4 = 16), when multiplied by the third negative sign the result will be negative
9.
What is (-88 ÷ 11) ÷ -2?
-16
4
16
24
-88 ÷ 11 = -8 and -8 ÷ -2 = 4
10.
What is -21 x -6?
-216
-126
126
216
BOTH numbers are negative, therefore the result will be positive
You can find more about this topic by visiting BBC Bitesize - How to multiply and divide positive and negative numbers

Author:  Frank Evans
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