Using Standard Form to Solve Problems
Maths
(Higher Level)
(All of these questions should be attempted without a calculator)
Section A – Multiplying and Dividing
a)
(4 x 103) x (3 x 105)
b)
(6 x 105) x (3 x 104)
c)
(5 x 106) x (4 x 109)
d)
(2.5 x 10-3) x (5 x 10-8)
e)
(8 x 105) ÷ (2 x 103)
f)
(9 x 102) ÷ (3 x 10-4)
Section B – Adding and Subtracting
a)
(2 x 102) + (3 x 103)
b)
(2 x 101) + (4 x 103)
c)
(7.1 x 103) + (2.4 x 102)
d)
(5.2 x 104) + (3.2 x 102)
e)
(1 x 10-1) – (2 x 10-2)
f)
(3.4 x 103) – (2 x 101)
Section C – ‘Real-Life’ Problems
a)
The mass of Jupiter is approximately 1.90 x 1027 Kg. Write this mass as an
ordinary number.
b)
The speed of radio waves is 3 x 108 m/s. How long will it take for a radio wave
to travel 900km. (Remember Time = Distance / Speed).
c)
What distance will the radio waves travel in 0.02 seconds. (Remember that
Distance = Speed x Time).
d)
32g of sulphur contains approximately 4 x 1023 atoms. What is the mass of 1
atom of sulphur.
e)
The mass of an atom of hydrogen is 1.66 x 10-24. The mass of an atom of
carbon is 1.99 x 10-23. Which is heavier, and by how much.
Extension
Can you find the ‘Prime Factorisation’ of these numbers :
a)
150
b)
260
c)
500
d)
1271