Islamiya english school, abu dhabi.



WORKING WITH NUMBERSOBJECTIVES:Positive and negative indices.Multiplying numbers and dividing numbers written in index form.Standard form.Approximations of whole numbers and decimals.Significant figures.Estimating answers to calculations.KEY POINTS:am×an=am+nam÷an=am-namn=amna-m=1ama1=aa0=1In standard form, a number is always written in the format A×10n. Where A is always between 1 and 10 and n tells you many places you need to move the decimal point.Non-zero digits are always significant.Any zeroes between two significant digits are significant.A final zero or trailing zeroes in the decimal portion only are significant.PART – AEvaluate each of the following:34 =73 =53 =83 =Find the value of:2-6 =3-5 =4-4 =5-3 =Evaluate the following:1000000=120=-60=20=Simplify:33×34=23÷24=Write the following in ordinary notation:3.2×102=12.4×103=1.47×10-1=2.75×10-3=Write the following numbers in standard form:790000=0.0000941=0.00046=31300=Round 23745 to the nearest:Ten ---→Hundred ---→Thousand ---→Round 3.976 to 1 decimal place.Round 2.6470588 to two decimal places.State the number of significant figures in each of these numbers:353---→0.072---→3.040---→3000---→PART – BRound the given numbers to the nearest unit or whole number:37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Round the given numbers to one decimal place (1 dp):37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Round the given numbers to two decimal place (2 dp):37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Round the given numbers to one significant figure (1 s.f.):37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Round the given numbers to two significant figures (2 s.f.):37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Round the given numbers to three significant figures (3 s.f.):37.25---→426.3---→48460---→0.0169---→0.007394---→0.6141---→Do as directed in the table for the number 742396:Round toSignificant figuresDecimal places1234Do as directed in the table for the number 0.07284:Round toSignificant figuresDecimal places1234Select the most precise measurement:3.2 m3.20 m3.195 mAnswer is _____________ .The population of United Kingdom is estimated as 58 700 000. Write this number in standard form.PART – CA fence is 22 m long to the nearest metre. What are the upper and lower bounds?Estimate roughly by correcting each number to 1 s.f. for the given calculations:3.185×0.49===0.485×0.0638===19.4÷0.0437===386062×0.007243===Evaluate:4.5×104 + 6.45×1052×103×3×10636×105÷6×103Find the value of:3a2b0=23-3===Write the distance 9 300 000 000 miles in standard form. x-------------The End---------------x ................
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