brackets in mathematics are used for grouping and clarity.
brackets may also be used to indicate multiplication.
brackets are used in functions to declare the independent variable.
powers: positive whole numbers such as 2 3 , which means 2 X 2 X 2 = 8:
(anything) 3 = (anything) X (anythng) X (anything)
(x)3 = x X x X x
(x +4) 5 = (x+4)(x+4)(x+4)(x+4)(x+4)
Note:
Brackets (A) (B) or A X B or AB
all indicate A multiplied by B.
Variables and letters: When we don't know the value of the quantity, we give that quantity a symbol such as x. We may then make general statements about the unknown quantity, x, for example, "For the next 15 weeks, if I save x per week I shall have $4000 to spend on a holiday". This statement may be expressed as a mathematical equation:
15 X weekly savings = 4000
15 X x = 4000 or 15x = 4000
Now that the statement has been reduced to mathematical equation, we may solve the equation for the unknown, x:
15x = 4000
15x/15 = 4000 /15 divide both sides of the equation by 15
x = 266.67
Square roots : the square roots of a number is the reverse of squaring:
(2) 2 = 4 --> sq root 4 = 2
(2.5) 2 = 6.25 --> sq root 6.25 = 2.5
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