QUESTION IMAGE
Question
- put a line over each sf. indicate how many significant figures (sf) there are in each of the measured values
246.3 cm =
106.734 mm =
100.3°c =
0.678 l =
1.01 x 10^5 m =
1.007 m =
0.00327 l =
14.600 kg =
0.00001 m =
32,000,000 kg =
210000 g =
350.670 ml =
1.0000 in =
320.001 l =
2 x 10^-4 m =
Step1: Recall significant - figure rules
Non - zero digits are always significant. Zeros between non - zero digits are significant. Leading zeros are not significant. Trailing zeros in a number with a decimal point are significant.
Step2: Analyze 1.01 x 10^5 m
The digits 1, 0, 1 are significant. So there are 3 significant figures.
Step3: Analyze 0.678 L
The digits 6, 7, 8 are significant. So there are 3 significant figures.
Step4: Analyze 100.3°C
The digits 1, 0, 0, 3 are significant. So there are 4 significant figures.
Step5: Analyze 106.734 mm
The digits 1, 0, 6, 7, 3, 4 are significant. So there are 6 significant figures.
Step6: Analyze 246.3 cm
The digits 2, 4, 6, 3 are significant. So there are 4 significant figures.
Step7: Analyze 1.007 m
The digits 1, 0, 0, 7 are significant. So there are 4 significant figures.
Step8: Analyze 0.00327 L
The digits 3, 2, 7 are significant. So there are 3 significant figures.
Step9: Analyze 14.600 kg
The digits 1, 4, 6, 0, 0 are significant. So there are 5 significant figures.
Step10: Analyze 0.00001 m
The digit 1 is significant. So there is 1 significant figure.
Step11: Analyze 32,000,000 kg
If no decimal point is shown, the trailing zeros may or may not be significant. Assuming it is not measured precisely, there are 2 significant figures (3 and 2).
Step12: Analyze 2 x 10^(-4) m
The digit 2 is significant. So there is 1 significant figure.
Step13: Analyze 320.001 L
The digits 3, 2, 0, 0, 0, 1 are significant. So there are 6 significant figures.
Step14: Analyze 1.0000 in
The digits 1, 0, 0, 0, 0 are significant. So there are 5 significant figures.
Step15: Analyze 350.670 mL
The digits 3, 5, 0, 6, 7, 0 are significant. So there are 6 significant figures.
Step16: Analyze 210000 g
If no decimal point is shown, assuming it is not measured precisely, there are 2 significant figures (2 and 1).
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1.01 x 10^5 m: 3
0.678 L: 3
100.3°C: 4
106.734 mm: 6
246.3 cm: 4
1.007 m: 4
0.00327 L: 3
14.600 kg: 5
0.00001 m: 1
32,000,000 kg: 2
2 x 10^(-4) m: 1
320.001 L: 6
1.0000 in: 5
350.670 mL: 6
210000 g: 2