1. Write the following numbers in standard form:
a 
45.6 
b

0.24 
c

0.032 
d 
1541.7 
e

843 000 
f

0.000 002 
2. Write the following numbers in standard form:
a. The distance around the equator is 12 756 kilometres.
b. The height of Mount Everest is 8 863 metres.
c. The size of a small virus is 0.000018 millimetres.
d. The density of hydrogen is 0.0871 grams per cubic centimetre.
3. Write the following numbers as ordinary decimals:
a

5.12 × 10^{2} 
b

4.1 × 10^{1} 
c

1.6 × 10^{4} 
d 
6.1 × 10^{6} 
e

9.61 × 10^{3} 
f

8.3 × 10^{6} 
4. Calculate:
a

^{5}⁄_{8} + ^{3}⁄_{4} = 
b

^{4}⁄_{5} + ^{3}⁄_{4} = 
c

^{3}⁄_{4} − ^{1}⁄_{8} = 
d

4^{3}⁄_{8} + 2^{1}⁄_{4} = 
e

6^{1}⁄_{5} − 2^{3}⁄_{8} = 
f

2^{6}⁄_{7} − 1^{7}⁄_{8} = 
g

^{1}⁄_{4} × ^{2}⁄_{3 =} 
h

^{5}⁄_{11} × ^{7}⁄_{9} = 
i

^{4}⁄_{5} × ^{15}⁄_{16} = 
j

^{75}⁄_{99} × ^{33}⁄_{100} = 
k

3^{1}⁄_{2} × 4^{1}⁄_{4} = 
l

1^{3}⁄_{8} × 2^{1}⁄_{4} = 
m

^{3}⁄_{4} ÷ ^{1}⁄_{2} = 
n

^{8}⁄_{9} ÷ ^{4}⁄_{9} = 
o

^{4}⁄_{5} ÷ ^{2}⁄_{3} = 
p

3^{1}⁄_{2} ÷ ^{7}⁄_{8} = 
q

1^{4}⁄_{5} ÷ ^{9}⁄_{10} = 
r

^{3}⁄_{4} ÷ 3 = 
5.
a 
Increase 95 by 20% 
b 
Decrease 90 by 10% 
c

Increase 150 by 40% 
d

Increase 500 by 45% 
e

Decrease 540 by 5% 
f

Decrease 250 by 50% 
6. a. The price of a spa pool is decreased by 20%. It was originally priced at $3500. What is its new price?
b. The cost of a DVD is $45. If tax has to be added on at 12.5% what is its new cost?