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What do brackets mean?
Algebraic notation (the language of maths) can look complicated, but in fact it makes things clearer and easier to understand —at least for a mathematician!
For example, read this problem and notice the words in red:
I have twelve friends, and I want to give two lollipops and
four sticks of chewing gum to each of them. How many sweets do I have to buy?
This is the same problem in maths language:
DATA:
12 friends
2 lollipops for each friend
4 sticks of chewing gum for each friend
SOLUTION: 12 x (2 + 4)
There are two ways of calculating the solution:
- You calculate the total number of lollipops and the total number of sticks of chewing gum, and you add them up:
(12 x 2) + (12 x 4) = 24 lollipops
+ 48 sticks of chewing gum
= 72 sweets
- You calculate the number of sweets per friend, and multiply by the number of friends.
(2 + 4) x 12 = 6 sweets x 12 friends
= 72 sweets
It is usually easier to do first the calculations inside the brackets, and then the other calculations:
12 x (2 + 4) = 12 x 6 = 72
JJCC