Concept explainers
(a)
Interpretation:
0.0123 when expressed in scientific notation, the number of places the decimal point has to be moved must be given.
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
(b)
Interpretation:
375,000 when expressed in scientific notation, the number of places the decimal point has to be moved must be given.
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
(c)
Interpretation:
0.100 when expressed in scientific notation, the number of places the decimal point has to be moved must be given.
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
(d)
Interpretation:
68.75 when expressed in scientific notation, the number of places the decimal point has to be moved must be given.
Concept Introduction:
In scientific work, large and very small numbers occurs frequently. But it is been observed that, to record these vast numbers or very small numbers is difficult because, the numbers may get missed while recording them. It is time consuming and the possibilities of error occurrence are also high. Hence to overcome these demerits, a method called scientific notation is used. Scientific notation is a numerical system where a decimal number is expressed as product of two number between 1 and 10 (coefficient) and 10 that is raised to power (exponential term). In this method the numbers are expressed in form of “
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
GENERAL,ORGANIC,+BIO.CHEM.-MINDTAP
- At sea, distances are measured in nautical miles and speeds are expressed in knots. 1 nautical mile =6076.12ft 1 knot =1 nautical mi/h (exactly) (a) How many miles are in one nautical mile? (b) How many meters are in one nautical mile? (c) A ship is traveling at a rate of 22 knots. Express the ship's speed in miles per hour.arrow_forwardConsider multiplying “26.2” by “16.43.” What would a mathematician say the answer is? What would a scientist say? Justify the scientist’s answer, not merely citing the rule, hut explaining it.arrow_forward1.18 Two golfers are practicing shots around a putting green. Each golfer takes 20 shots. Golfer 1 has 7 shots within 1 meter of the hole, and the other 13 shots are scattered around the green. Golfer 2 has 17 shots that go into a small sand trap near the green and 3 just on the green near the trap. Which golfer is more precise? Which is more accurate?arrow_forward
- The total length of all the DNA molecules contained in a human body is 1 1010 miles. The population of the United States is about 300 million. What is the total length of all the DNA of the U.S. population in lightyears? (A light year is the distance that light travels in a year and is 9.46 1015 m.)arrow_forwardConsider the addition of “1 5.4” to “28.” What would a mathematician say the answer is? What would a scientist say? justify the scientist’s answer, not merely citing the rule, but explaining it.arrow_forwardA. The Internal System of Units Fill in the space provided with the correct SI units and symbol for each quantity. Quantity Unit Symbol Length Mass Time Electric current Temperature Amount of substance Luminous intensity B. The Metric System Convert the following figures to its desired units. Do not round off your answers. 1. 23 m to 2. 76 L to 3. 93.2 mg to 4. 83.34 dL to 5. 94.1 Dm to 6. 12 cm to 7. 164,000 ml to 8. 454 g to 9. 1,232 kg to 10. 672 L to km DL Hg mm mg m kLarrow_forward
- 1) The density of a material can be used to calculate the volume of an object if its mass is known. Likewise, the mass can be calculated if the density and volume are known. A pre-1964 quarter, made predominantly of silver (density= 10.5 g/mL), was determined to have a mass of 6.25 g. What is the volume of a quarter? A. 65.6 B. 0.595 mL C. 1.68 mL D. 6.25 mL 2) Add: 2.11 + 104.056 + 0.1205 A. 106 B. 106.29 C. 106.286 D. 106.2865arrow_forwardUse prefix multipliers to express each measurement without exponents.a. 38.8 * 105 g b. 55.2 * 10 - 10 sc. 23.4 * 1011 m d. 87.9 * 10 - 7 Larrow_forwardFor each number, underline the zeroes that are significant and draw an x through the zeroes that are not.a. 180,701 mi b. 0.001040 mc. 0.005710 km d. 90,201 marrow_forward
- 55. Round the number on the left to the number of significant figures indicated by the example in the first row. (Use scientific notation as needed to avoid ambiguity.) Rounded to Rounded to Rounded to 4 Significant 2 Significant 1 Significant Figures Number Figures Figure 1.45815 1.458 1.5 8.32466 84.57225 132.5512arrow_forward23. 2 x 75.33333 = ____________ (significant figures). A. 100 B. 200 C. 150.6 D. 151 E. 150.6666arrow_forward34. Convert 4.58 x 10³ cm³ to each unit. a. L b. mL c. gal d. qt The m in the equation for density is in italic type, meaning that it stands for mass rather than for meters. In general, the symbols for units such as meters (m), seconds (s), or kelvins (K) appear in regular type, while those for variables such as mass (m), volume (V), and time (t) appear in italics.arrow_forward
- World of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage LearningLiving By Chemistry: First Edition TextbookChemistryISBN:9781559539418Author:Angelica StacyPublisher:MAC HIGHERIntroductory Chemistry: A FoundationChemistryISBN:9781337399425Author:Steven S. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
- General Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningChemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning