Download Reciprocals and Powers

Reciprocals and Powers
1) Reciprocals
a)
Using a calculator, work out the following: (you may find the button x y useful for entering
powers, and 1/n for entering fractions)
i) 2-1 =
ii) 3-1 =
iii) 4-1 =
iv) 5-1 =
v) 6-1 =
vi) 7-1 =
vii)8-1 =
b)
viii) 1/2 =
ix) 1/3 =
x) 1/4 =
xi) 1/5 =
xii) 1/6 =
xiii) 1/7 =
xiv) 1/8 =
Using a calculator work out the following:
i) 2 x 2-1 =
ii) 3 x 3-1 =
iii) 4 x 4-1 =
iv) 5 x 5-1 =
v) 6 x 6-1 =
Does this work with every whole number?
Does this work with fractions?
Reciprocal: A number related to another so that when they are
multiplied together their product is _______.
An example is _________.
2) Powers
a)
Using a calculator, work out the following: (Remember BIDMAS)
i) 24 =
ii) 33 =
iii) 46 =
iv) 52 =
v) 6-3 =
vi) 7-4 =
vii)8-2 =
b)
viii) 2 x 2 x 2 x 2 =
ix) 3 x 3 x 3 =
x) 4 x 4 x 4 x 4 x 4 x 4 =
xi) 5 x 5 =
xii) 1 ÷ (63) =
xiii) 1 ÷ (74) =
xiv) 1 ÷ (82) =
Using a calculator, work out the following:
i)
ii)
iii)
iv)
v)
vi)
vii)
viii)
41/2 =
91/2
23
=
x 24 =
37 ÷ 32 =
25-1/2 =
64-1/2 =
43/2 =
8-2/3 =
ix) 4 =
x) 9 =
xi) 2(3+4) =
xii) 3(7-2) =
xiii) 1 ÷25 =
xiv) 1 ÷64 =
xv) (41/2)3 =
xvi) (8-1/3)2 =
Powers:
A number with a positive whole number power is the same as
__________________________________________________
A number with a negative whole number power is the same as
__________________________________________________
A power ½ is the same as _____________________________