Concept explainers
Carry out the following additions and subtractions, expressing your answer to the correct number of significant figures. Assume that all numbers are measured numbers.
- a. 237 + 37.0 + 7.0
- b. 4.000 + 4.002 + 4.20
- c. 235.45 + 37 + 36.4
- d. 3.111 – 2.07
(a)
Interpretation:
The answer for the given addition problem
Concept Introduction:
Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement.
Answer to Problem 2.52EP
When the problem
Explanation of Solution
The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement. For the problem,
The answer obtained is 281, but there are no decimal points in the measurements in the problem to identify the significant figures.
(b)
Interpretation:
The answer for the given addition problem
Concept Introduction:
Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement.
Answer to Problem 2.52EP
When the problem
Explanation of Solution
The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement. For the problem,
The fewest significant figure in the measurements of the problem is two. The answer obtained is 12.20 with two significant figures.
(c)
Interpretation:
The answer for the given addition problem
Concept Introduction:
Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement.
Answer to Problem 2.52EP
When the problem
Explanation of Solution
The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement. For the problem,
The answer obtained is 309, but there are no decimal points in the measurements in the problem to identify the significant figures.
(d)
Interpretation:
The answer for the given subtraction problem
Concept Introduction:
Whenever a measurement is made, the significant figures in the measured quantity give the actual measurement. For this the significant figures should be recognized first. The significant figures may be non-zero digit and zero digit. But Zero may be or may not be a significant figure. The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement.
Answer to Problem 2.52EP
When the problem
Explanation of Solution
The number of significant figures in the answer after solving addition or subtraction problem is same as the number of fewest significant figures present to the right side of the decimal point of the measurement. For the problem,
The fewest significant figure in the measurements of the problem is two. The answer obtained is 1.04 with two significant figures.
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