Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

Section C – Imperial Standard Units 1 mile = ft ?

Convert: 6 yards to metres 3 tonnes to ounces

Convert: Ben is 195 lbs. Find his mass in kilograms and grams. Stacey is 1.65 m. Find her height in feet and inches.

Section D – Scientific Notation Numbers that are extremely large or extremely small can be written more simply by using scientific notation. 2,000,000,000,000 = 2 x trillion cx 10 n – where 1 <c< 10 – n is an integer

Write in Scientific Form: or 8 gigs of space on your mp3 player metres or the average size of a cell.

Write in Decimal Form: 1.5 x metres or the average size of a proton. 3.0 x 10 8 metres per second or the speed of light. Try with your calculator.

Section E – Rounding Numbers If the digit after the one being rounded off is less than 5 we round down. If the digit after the one being rounded off is 5 or more we round up. Round to the nearest Round to the nearest

Section E – Rounding Numbers Round to the nearest Tenth Round to the nearest Hundredth

Calculate to 2 decimal places: ( )(0.82 – 0.57) 18.6 – (12.2 – 4.3) 5.2

Significant Figures The numbers 1-9 are always significant. Zeros in the front are never significant. Zeros in the middle are always significant. Zeros in the back are only significant if they follow the decimal point and another significant figure.

ExampleNo. of Sig Figs x 10 5

Write correct to 3 significant figures. Write correct to 3 significant figures.

Round to 2 significant figures. Round to 1 significant figures. 423 to 1 significant figures to 3 significant figures.

Use your calculator: Simplify to 3 significant figures (3.2 × 10 4 ) × (8.6 × )

Section F – Rates Rate of pay Gas mileage Annual rainfall Unit cost Population density Speed A rate is a comparison of different quantities.

Speed s = d / t = d = Example: A car is traveling a distance of 325-km. What is its average speed if the trip takes 4 hours and 17 minutes? What is the time taken if the average speed was 93-km/h?

Convert 35 apples bought for $9.45 to a rate of cents per apple.

Suburb A covers 6.3km 2 and has a population of people while suburb B covers 3.9 km 2 and has a population of people. Which suburb is more heavily populated?