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Sagot :
Sure! Let's determine the number of significant figures for each given number step-by-step.
### (a) 4.02
- The number 4.02 contains:
- '4': significant
- '0': significant because it is between two significant figures.
- '2': significant
- Therefore, 4.02 has 3 significant figures.
### (b) 0.008
- The number 0.008 contains:
- Leading zeros are not significant.
- '8': significant.
- Therefore, 0.008 has 1 significant figure.
### (c) 8600
- The number 8600 contains:
- '8': significant
- '6': significant
- Trailing zeros in a whole number without decimal points are generally not considered significant.
- Therefore, 8600 has 2 significant figures.
### (d) 1049
- The number 1049 contains:
- '1': significant
- '0': significant because it is between two significant figures.
- '4': significant
- '9': significant
- Therefore, 1049 has 4 significant figures.
### (e) 0.0002
- The number 0.0002 contains:
- Leading zeros are not significant.
- '2': significant.
- Therefore, 0.0002 has 1 significant figure.
### (f) 52.07
- The number 52.07 contains:
- '5': significant
- '2': significant
- '0': significant because it is between two significant figures.
- '7': significant
- Therefore, 52.07 has 4 significant figures.
### (g) 0.60
- The number 0.60 contains:
- Leading zeros are not significant.
- '6': significant
- '0': significant because it follows the decimal point.
- Therefore, 0.60 has 2 significant figures.
Therefore, the number of significant figures in each of the numbers is:
(a) 3
(b) 1
(c) 2
(d) 4
(e) 1
(f) 4
(g) 2
### (a) 4.02
- The number 4.02 contains:
- '4': significant
- '0': significant because it is between two significant figures.
- '2': significant
- Therefore, 4.02 has 3 significant figures.
### (b) 0.008
- The number 0.008 contains:
- Leading zeros are not significant.
- '8': significant.
- Therefore, 0.008 has 1 significant figure.
### (c) 8600
- The number 8600 contains:
- '8': significant
- '6': significant
- Trailing zeros in a whole number without decimal points are generally not considered significant.
- Therefore, 8600 has 2 significant figures.
### (d) 1049
- The number 1049 contains:
- '1': significant
- '0': significant because it is between two significant figures.
- '4': significant
- '9': significant
- Therefore, 1049 has 4 significant figures.
### (e) 0.0002
- The number 0.0002 contains:
- Leading zeros are not significant.
- '2': significant.
- Therefore, 0.0002 has 1 significant figure.
### (f) 52.07
- The number 52.07 contains:
- '5': significant
- '2': significant
- '0': significant because it is between two significant figures.
- '7': significant
- Therefore, 52.07 has 4 significant figures.
### (g) 0.60
- The number 0.60 contains:
- Leading zeros are not significant.
- '6': significant
- '0': significant because it follows the decimal point.
- Therefore, 0.60 has 2 significant figures.
Therefore, the number of significant figures in each of the numbers is:
(a) 3
(b) 1
(c) 2
(d) 4
(e) 1
(f) 4
(g) 2
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