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SignificantSignificantFiguresFigures
Stage 6 - Year 11Stage 6 - Year 11
Mathematics
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•All non-zeronon-zero numbers are significant
•zeros betweenbetween non-zero digits are significant
•zeros at the end of a decimal are significant
•all other zeros are notnot significant.
29712971 32.32.55
7.4567.456
30713071 60.60.55
8.0098.009
297.10297.10 32.0032.00 9.0009.000
09000900 02540254 0.4560.456PracticPractic
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Significant FiguresSignificant Figures
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Significant FiguresSignificant Figures
1. The first significant figure is the first non-zero number from the left (underlined in red).
Write 354 567 to 3 significant figures.
2. Underline the next 2 digits.
3. Looking at the next digit, underlined in blue. (Use 5/4 rounding to find the correct 3rd digit.)
The answer is 354 000, but
4. Since the 4th digit is 5 or greater, round up.The answer is 355 000.
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1. The first significant figure is the first non-zero number from the left (underlined in red).
Write 0.077 356 to 2 significant figures.
2. Underline the next digit.
3. Looking at the next digit, underlined in blue. (Use 5/4 rounding to find the correct 3rd digit.)
The answer is 0.077, but
4. Since the next digit is 5 or less, round down.The answer is 0.077.
Significant FiguresSignificant Figures
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1 2 3 4 5
2.340
Significant FiguresSignificant Figures
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0.040
Significant FiguresSignificant Figures
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1 2 3 4 5
2340
Significant FiguresSignificant Figures
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1 2 3 4 5
120.34
Significant FiguresSignificant Figures
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2020
Significant FiguresSignificant Figures