Concept explainers
(a)
Interpretation:
The number between
Concept introduction:
The scientific notation is the standard method of representation of a long or tedious measurement. The number is expressed as number times ten raised to some power.
For instance, mass of a proton is conveniently expressed as
While a number is written in scientific notations it is scaled down to some digit between 1 to10 ten and the places that previously contain zeroes are changed to ten raised to some power.
For example, 0.00056 is written as
Answer to Problem 45P
Explanation of Solution
To compare the numbers they must be written in standard form as follows:
Similarly, write the other number in standard form as follows:
Comparison of 4440 and 480.0 indicates that 44400 is larger than 480.0hence,
(b)
Interpretation:
The number between
Concept introduction:
The scientific notation is the standard method of representation of a long or tedious measurement. The number is expressed as number times ten raised to the power, where the power is the number of places decimal has been shifted. The decimal is shifted to right when the power is positive while it is negative if the decimal has been shifted to left.
While a number is written in scientific notations it is scaled down to some digit between 1 to10 ten and the places that previously contain zeroes are changed to ten raised to some power.
For example, 0.00056 is written as
Answer to Problem 45P
Explanation of Solution
To explicitly compare the numbers write the number in standard form as follows:
Similarly, write the other number in standard form as follows:
Comparison of 0.000056 and 0.0000056 indicates that the former is larger than the latter.
(c)
Interpretation:
The number between
Concept introduction:
The scientific notation is the standard method of representation of a long or tedious measurement. The number is expressed as number times ten raised to some power.
For instance, mass of a proton is conveniently expressed as
While a number is written in scientific notations it is scaled down to some digit between 1 to10 ten and the places that previously contain zeroes are changed to ten raised to some power.
Answer to Problem 45P
Explanation of Solution
To explicitly compare the numbers write the number in standard form as follows:
Similarly, write the other number in standard form as follows:
Comparison of 52300000.0 and 130000000.0 indicates that the former is smaller than the latter.
(d)
Interpretation:
The number between
Concept introduction:
The scientific notation is the standard method of representation of a long or tedious measurement. The number is expressed as number times ten raised to some power.
For instance,mass of a proton is conveniently expressed as
While a number is written in scientific notations it is scaled down to some digit between 1 to10 ten and the places that previously contain zeroes are changed to ten raised to some power.
Answer to Problem 45P
Explanation of Solution
To explicitly compare the numbers write the number in standard form as follows:
The other number isgiven in the standard form as follows:
0.000089
Comparison of 0.00098 and 0.000089 indicates that the former is larger than the latter.
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Chapter 1 Solutions
CONNECT IA GENERAL ORGANIC&BIO CHEMISTRY
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- Which of the following has exactly four significant figures? 0.0592 0.08206 8.314 5420 5.4 x 103arrow_forwardCount the significant figures of each quantity 5.60 × 1048 = 243.0 = 0.0000030 = 5 = 9.0000 × 10–9arrow_forwardIndicate whether the number in each of the following statements is anexactor aninexactnumber. a. A classroom contains 32 chairs. b. There are 60 seconds in a minute. c. A bowl of cherries weighs 3.2 pounds. d. A newspaper article contains 323 words.arrow_forward
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