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
GEN ORG + BIO (LL) W/CONNECT
- Give the name and symbol of the prefixes used with SI units to indicate multiplication by the following exact quantities. 103 102 0.1 103 1,000,000 0.000001arrow_forwardWrite each of the following numbers as “ordinary” decimal numbers. 6.244 x 103 9.117 x 10-2 8.299 x 101 1.771 x 10-4 5.451 x 102 2.934 x 10-5arrow_forwardHow many significant figures does each number contain? 16.00 160 0.00160 1,600,000 1.06 0.1600 1.060x1010 1.6x10-6arrow_forward
- Write the numbers in scientific notation. 291.7=291.7= ×10?×10x where ?=x= 0.0960=0.0960= ×10?×10x where ?=x=arrow_forwardHow many significant figures in each number? ~3.14159 ~0.0202 ~320.0 ~3.0x10^-3 ~500arrow_forwardAnswer each calculation and report the answer using the proper number of significant figures. 1. 65.2/12 2. 25.825 - 3.86 3. 41.0 + 9.135 4. 694.2 x 0.2 5. 53.5 x 0.41arrow_forward
- What is that number where it says 5.3x10^18 = ? * 7.099x10^-4arrow_forwardDo the following calculations to the correct number of significant figures: a.) 89.3 x 77.0 x 0.08 b.) 4.005 x 74 x 0.007 c.) 9.5 x 103/34.56 d.) 87.6 + 9.888+ 2.3 + 100.77arrow_forwardWhich has the fewest Significant figures? 1- 0.200 2- 7.760 3- 2.00 4- 300 5- 11.0 6- 200arrow_forward
- Express each number in scientific notation.a. 700 c. 4,500,000 e. 0.0054 g. 0.000000076b. 38,000 d. 685,000,000,000 f. 0.00000687 h. 0.0000000008arrow_forwardWrite the following numbers in ordinary notation.a. 8.348 × 1 0 6 km c. 7.6352 × 1 0 -3 kgb. 3.402 × 1 0 3 g d. 3.02 × 1 0 -5 sarrow_forwardWrite the number of significant figures in the number on the line. 0.0240 ________ 6.0500 ________ 5,000 ________ 3.780 × 10–4 _____________arrow_forward
- Chemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStax