General Math

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  • Topic: Decimal, Number, Significant figures
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  • Published : March 15, 2013
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YEAR 12 GENERAL MATHEMATICS
TOPIC SUMMARY PLAN: ALGEBRAIC SKILLS& TECHNIQUES

ExerciseKey Component of TopicDescription
(Dot Points)Examples
5AScientific notation
(Standard Number):
Conversions and Calculations

1.Scientific notation is used as a shorthand way of writing very large and very small numbers. 2.The decimal point is placed after the first significant figure, and then this decimal is multiplied by the appropriate power of 10. 3.The power of 10 is found as follows. 
• If the decimal point is moved left (for large numbers), the power of 10 is the number of places moved left. 
• If the decimal point is moved right (for small numbers), the power of 10 is negative and is the number of places moved right. 4.To write a number given in scientific notation as a decimal number, move the decimal point: 
(a) to the right for a positive power of 10 (b) to the left for a negative power of 10.

Write each of the following in scientific notation. a 8000000
b 13400000000
c 0.00003451 5.a 1 Move the decimal point after the first significant figure. a 8 000 000 = 8 ⋅ 106 2 The decimal point has been moved 6 places left. 6.b 1 Move the decimal point after the first significant figure. b 13 400 000 000 = 1.34 ⋅ 1010 2 The decimal point has been moved 10 places left. 7.c 1 Move the decimal point after the first significant figure. c 0.000 034 51 = 3.451 ⋅ 10-5 2 The decimal point has been moved 5 places right. Write each of the following measurements in scientific notation, correct to 3 significant figures. a 97856472124 km b 0.00000012411723 mg 8.a 1 Move the decimal point after the first significant figure. 2 The decimal point has been moved 10 places left.
3 Round the decimal off after the third significant figure. 9.b 1 Move the decimal point after the first significant figure. 2 The decimal point has been moved 7 places left.
3 Round the decimal off after the third significant figure. WriTe

a 9.79 ⋅ 1010...
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