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
|
5⁄8 + 3⁄4 = |
b
|
4⁄5 + 3⁄4 = |
c
|
3⁄4 − 1⁄8 = |
d
|
43⁄8 + 21⁄4 = |
e
|
61⁄5 − 23⁄8 = |
f
|
26⁄7 − 17⁄8 = |
g
|
1⁄4 × 2⁄3 = |
h
|
5⁄11 × 7⁄9 = |
i
|
4⁄5 × 15⁄16 = |
j
|
75⁄99 × 33⁄100 = |
k
|
31⁄2 × 41⁄4 = |
l
|
13⁄8 × 21⁄4 = |
m
|
3⁄4 ÷ 1⁄2 = |
n
|
8⁄9 ÷ 4⁄9 = |
o
|
4⁄5 ÷ 2⁄3 = |
p
|
31⁄2 ÷ 7⁄8 = |
q
|
14⁄5 ÷ 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?