Expressing Numbers
For help representing numbers in standard form vist:
http://studymaths.co.uk/topics/convertingToStandardForm.php or
http://studymaths.co.uk/topics/calculatingInStandardForm.php
For help rounding to specific numbers of significant figures vist:
http://www.purplemath.com/modules/rounding2.htm or
http://www.bbc.co.uk/schools/gcsebitesize/maths/number/roundestimaterev3.shtml
1) Write the following numbers in standard form.
a. 0.01267
b. 0.000006
c. 56911
d. 46000000
2) Write the following numbers in ordinary form.
a. 1.289 x 10-2
b. 6.2 x 10-5
c. 5.664 x 105
d. 2.32 x 102
3) Express the following numbers to the stated number of significant
figures.
a. 1.65213 to two significant figures
b. 206113 to three significant figures
c. 5.1321 x 106 to three significant figures
d. 0.000562135 to two significant figures
e. 5901 to one significant figure.
4) Complete the following equations stating your answer to the stated
number of significant figures.
a. (1.654 x 10-5) x (2.516 x 103) to four significant figures
b. (5.1 x 10-2) ÷ (1.25 x 102) to two significant figures
c. (5.12 x 105) x (1.96 x 104) to three significant figures
d. 5612 x (1 x 1010) to one significant figure.
5) Convert the following units as stated:
a. 2 g to Kg
b. 5.32 x 105 Kg to g
c. 5.32 x 105 kg to tonnes
d. 12 cm3 to ml
e. 12 cm3 to dm3
f. 500 m3 to cm3
g. 200 KPa to Pa
h. 5.9 x 104 Pa to KPa