1.
a. 45.6 = 4.56 × 101 |
b. 0.24 = 2.4 × 10-1 |
c. 0.032 = 3.2 × 10-2 |
d. 1541.7 = 1.5417 × 103 |
e. 843 000 = 8.43 × 105 |
f. 0.000 002 = 2 × 10-6 |
2.
a. The distance around the equator is 1.2756 × 104 kilometres.
b. The height of Mount Everest is 8.863 × 103 metres.
c. The radius of a cell is 1.8 × 10-5 millimetres.
d. The density of hydrogen is 8.71 × 10-2 grams per cubic centimetre.
3.
a. 5.12 × 102 = 512 |
b. 4.1 × 10-1 = 0.41 |
c. 1.6 × 104 = 16 000 |
d. 6.1 × 106 = 6 100 000 |
e. 9.61 × 10 -3 = 0.00961 |
f. 8.3 × 10-6 = 0.0000083 |
4. Calculate:
a
|
5⁄8 + 3⁄4 = 13⁄8 |
b
|
4⁄5 + 3⁄4 = 111⁄20 |
c
|
3⁄4 − 1⁄8 = 5⁄8 |
d
|
43⁄8 + 21⁄4 = 65⁄8 |
e
|
61⁄5 − 23⁄8 = 333⁄40 |
f
|
26⁄7 − 17⁄8 = 55⁄56 |
g
|
1⁄4 × 2⁄3 = 1⁄6 |
h
|
5⁄11 × 7⁄9 = 35⁄99 |
i
|
4⁄5 × 15⁄16 = 3⁄4 |
j
|
75⁄99 × 33⁄100 = 1⁄4 |
k
|
31⁄2 × 41⁄4 = 147⁄8 |
l
|
13⁄8 × 21⁄4 = 33⁄32 |
m
|
3⁄4 ÷ 1⁄2 = 11⁄2 |
n
|
8⁄9 ÷ 4⁄9 = 2 |
o
|
4⁄5 ÷ 2⁄3 = 11⁄5 |
p
|
31⁄2 ÷ 7⁄8 = 4 |
q
|
14⁄5 ÷ 9⁄10 = 2 |
r
|
3⁄4 ÷ 3 = 1⁄4 |
5.
a |
114 |
b |
81 |
c
|
210 |
d
|
725 |
e
|
513 |
f
|
125 |
6. a. The new price is $2800.
b. The new cost is $50.63.
c. He was 188.6 centimetres tall at the end of the year.
d. The new value is $304, 000.
e. The population of the town after the decrease is 42750.