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 × 102

b
4.1 × 10-1
c
1.6 × 104

d

6.1 × 106

e
9.61 × 10-3
f
8.3 × 10-6

4. Calculate:

a
58 + 34 =
b
45 + 34 =
c
34 − 18 =
d
438 + 214 =
e
615 − 238 =
f
267 − 178 =
g
14 × 23 =
h
511 × 79 =
i
45 × 1516 =
j
7599 × 33100 =
k
312 × 414 =
l
138 × 214 =
m
34 ÷ 12 =
n
89 ÷ 49 =
o
45 ÷ 23 =
p
312 ÷ 78 =
q
145 ÷ 910 =
r
34 ÷ 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?