Presentation on theme: "Nuffield Free-Standing Mathematics Activity"— Presentation transcript:
1 Nuffield Free-Standing Mathematics Activity Large and smallPlanet Jupiter
2 Large and small Jupiter’s surface area = 4r2 where r = metresImage by STScI for NASAThink about… how to work out Jupiter’s surface areaImage by NASA/Goddard Space Flight Center Scientific Visualization StudioAtomic particlesThe mass of a proton is g This is 1836 times as heavy as an electronThink about… how to work out the mass of an electron or how many protons there are in 1kgThis activity shows the best way to work with very large and very small numbers like these.
3 Powers of 10 Other examples 10310210110010–110–210–31000100101Think of a negative in the power as “1 over”.Any number to the power 0 is equal to 1.Other examples106= 10 10 10 10 10 10====10–9
4 Standard form- a useful way of writing very large and very small numbersExamplesMass of the Earthkilograms= 6 kilogramsThink about… how to convert from one form to the otherDistance from the Sun to Plutometres= 5.9 1012 metres
5 The time between collisions of molecules in a gas ExamplesThe time between collisions of molecules in a gasseconds= 2 10–10 metresThink about… how to convert from one form to the otherMass of an atom of goldgrams= 3 10–22 gramsThe wavelength of blue lightmetres= 7.2 10–7 metres
6 Standard forma 10n where a is between 1 and and n is a positive or negative integerTry these4 1069.25 10–43.681 10–77.3 1052.4 10169.58 10–23======
7 Calculating in standard form Use the EXP (or EE or 10x) key on a calculator4.5 103Examples7.1 10–5Press 4.5 EXP 3Press 7.1 EXP (-) 5When you write down answers, remember the 10
9 Very large and very small Light split into its different colours by a prism
10 Large and small At the end of the activity Can you explain why: b 2.42 10–4 =c = 5.6 10–5d = 1.25 109How do you enter a number like 5.6 10–5 into your calculator?What are the advantages of working in standard form?Are there any disadvantages?