(a)
Interpretation: The correct number of significant figure for
Concept Introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(a)
Answer to Problem 25RPS
Explanation of Solution
In
In
The multiplication of
The number of significant figures should the answer contain is the fewest number of significant figures of the given quantity. Both the quantity possesses same significant figures. Hence, the answer should be written as
(b)
Interpretation: The correct number of significant figure for
Concept Introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(b)
Answer to Problem 25RPS
Explanation of Solution
In
In
The subtraction of
The number of decimal places should the answer contain is the fewest decimal places of the given quantity. Both the quantity possesses zero decimal places. Hence, the answer should be written as
(c)
Interpretation: The correct number of significant figure for
Concept Introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(c)
Answer to Problem 25RPS
Explanation of Solution
In
In
The division of
The number of significant figures should the answer contain is the fewest number of significant figures of the given quantity. Out of both the quantity
(d)
Interpretation: The correct number of significant figure for
Concept Introduction:
Significant of zeroes:
- Zeroes between two other significant digits are significant.
- Zeroes to the right of a nonzero number, and also to the right of decimal place, are significant.
- Zeroes that are placeholders are not significant.
Rules used for significant figures in calculations:
Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.
Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.
Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.
(d)
Answer to Problem 25RPS
Explanation of Solution
The division and multiplication of:
Finally, on the multiplication of
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Chapter 1 Solutions
Chemistry & Chemical Reactivity
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