Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
8th Edition
ISBN: 9781285199030
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Textbook Question
Chapter 2, Problem 13QAP

Write each of the following numbers instandardscientific notation.

a. 1 / 1033

e. 1 / 3 , 093 , 000

b. 1 / 10 5

f. 1 / 10 4

c. 1 / 10 7

g. 1 / 10 9

d. 1 / 0.0002

h. 1 / 0.000015

Expert Solution
Check Mark
Interpretation Introduction

(a)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

9.6805×104.

Explanation of Solution

The given measurement is 11033. It is equal to 0.00096805, to convert this into scientific notation; the decimal will be shift four places to the right. Since, the decimal move right, the power of 10 will be negative. The scientific notation will be 9.6805×104.

Expert Solution
Check Mark
Interpretation Introduction

(b)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

1.0×105.

Explanation of Solution

The given measurement is 1105. It is equal to 105, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×105.

Expert Solution
Check Mark
Interpretation Introduction

(c)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

1.0×107.

Explanation of Solution

The given measurement is 1107. It is equal to 107, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, the scientific notation will be 1.0×107.

Expert Solution
Check Mark
Interpretation Introduction

(d)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

5.0×103.

Explanation of Solution

The given measurement is 10.0002. It is equal to 5000, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will be placed after first digit that is 5. Now, after placing the decimal there will be three digits thus, power of 10 will be 3 and the scientific notation will be 5.0×103.

Expert Solution
Check Mark
Interpretation Introduction

(e)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

3.2×107.

Explanation of Solution

The given measurement is 13, 093, 000. It is equal to 0.00000032, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus, decimal will move seven steps to the right and power of 10 will be -7. Thus, the scientific notation will be 3.2×107.

Expert Solution
Check Mark
Interpretation Introduction

(f)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

1.0×104.

Explanation of Solution

The given measurement is 1104. It is equal to 104, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×104.

Expert Solution
Check Mark
Interpretation Introduction

(g)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

1.0×109.

Explanation of Solution

The given measurement is 1109. It is equal to 109, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus the scientific notation will be 1.0×109.

Expert Solution
Check Mark
Interpretation Introduction

(h)

Interpretation:

The given number should be converted into standard scientific notation.

Concept Introduction:

Scientific notation for a number is written in such a way that large numbers are written in small decimal form which is then multiplied by the power of 10.

For numbers less than 1, the power of 10 in scientific notation has negative exponent and for numbers greater than 1, the power is either zero or has positive exponent.

Answer to Problem 13QAP

6.66666667×104.

Explanation of Solution

The given measurement is 10.000015. It is equal to 66, 666.6667, to convert this into scientific notation; the decimal number should be written ranges from 1 to 10 thus decimal will be placed after first digit, the decimal will move four places to the left. Since, the decimal shifts to left, the power of 10 will be positive. The scientific notation will be 6.66666667×104.

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Chapter 2 Solutions

Introductory Chemistry: A Foundation

Ch. 2 - a. There are 365 days/year, 24 hours/day, 12...Ch. 2 - You go to a convenience store to buy candy and...Ch. 2 - When a marble is dropped into a beaker of water,...Ch. 2 - Consider water in each graduated cylinder as...Ch. 2 - What is the numerical value of a conversion...Ch. 2 - For each of the following numbers, indicate which...Ch. 2 - Consider the addition of “1 5.4” to “28.” What...Ch. 2 - Consider multiplying “26.2” by “16.43.” What would...Ch. 2 - In lab you report a measured volume of 128.7 mL of...Ch. 2 - Sketch two pieces of glassware: one that can...Ch. 2 - Oil floats on water but is “thicker” than water....Ch. 2 - Show how converting numbers to scientific notation...Ch. 2 - You are driving 65mph and take your eyes oil the...Ch. 2 - You have a1.0cm3 sample of lead and a1.0cm3 sample...Ch. 2 - The beakers shown below have different precisions....Ch. 2 - True or false? For any mathematical operation...Ch. 2 - Complete the following and explain each in your...Ch. 2 - For each of the following figures, a through d,...Ch. 2 - For the pin shown below, why is the third digit...Ch. 2 - Why can the length of the pin shown below not be...Ch. 2 - Use the figure below to answer the following...Ch. 2 - A represents a quantitative observation.Ch. 2 - Although your textbook lists (he rules for...Ch. 2 - When a large or small number is written in...Ch. 2 - When a large or small number is written in...Ch. 2 - Will the power of 10 have apositiveor...Ch. 2 - Will the power of 10 have a positive, negative, or...Ch. 2 - Express each of the following numbers...Ch. 2 - Rewrite each of the following as an “ordinary”...Ch. 2 - By how many places must the decimal point be...Ch. 2 - By how many places must the decimal point be...Ch. 2 - Prob. 11QAPCh. 2 - Write each of the following numbers as “ordinary”...Ch. 2 - Write each of the following numbers...Ch. 2 - Prob. 14QAPCh. 2 - What are the fundamental units of mass, length,...Ch. 2 - Give the metric prefix that corresponds to each of...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - Students often have trouble relating measurements...Ch. 2 - The road sign I just passed says “New York City...Ch. 2 - The GPS in my car indicates that t have 100. mi...Ch. 2 - The tablecloth on my dining room table is 2 in...Ch. 2 - Who is taller, a man who is 1.62 in tall or a...Ch. 2 - The fundamental SI unit of length is the meter....Ch. 2 - 26. Which English unit of length or distance is...Ch. 2 - The unit of volume in the metric system is the...Ch. 2 - Which metric system unit is most appropriate for...Ch. 2 - When a measuring scale is used properly to the...Ch. 2 - What does it mean to say LI1amevery measurement we...Ch. 2 - For the pin shown in Fig. 2.5, why is the third...Ch. 2 - Why can the length of the pin shown in Fig. 2.5...Ch. 2 - Indicate the number of significant figures in each...Ch. 2 - Indicate the number of significant figures implied...Ch. 2 - When we round off a number, if the number to the...Ch. 2 - In a multiple-step calculation, is it better to...Ch. 2 - Round off each of the following numbers to three...Ch. 2 - Round off each of the following numbers to two...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Round off each of the following numbers to the...Ch. 2 - Consider the calculation indicated below:...Ch. 2 - The following water measurements are made: 18 mL...Ch. 2 - When the calculation(2.31)(4.9795103)/(1.9971104)...Ch. 2 - Prob. 44QAPCh. 2 - When the sum 4.9965 + 2.11 + 3.887 is calculated,...Ch. 2 - How many digits after the decimal point should he...Ch. 2 - Evaluate each of the following mathematical...Ch. 2 - Evaluate each of the following mathematical...Ch. 2 - Without actually performing the calculations...Ch. 2 - Without actually performing the calculations...Ch. 2 - How many significant digits should be used to...Ch. 2 - Evaluate each of the following and write the...Ch. 2 - A represents a ratio based on an equivalence...Ch. 2 - How many significant figures are understood for...Ch. 2 - Given that 1 mi = 1760 yd, determine what...Ch. 2 - Prob. 56QAPCh. 2 - For Exercises 57 and 58, apples cost $1.75 per...Ch. 2 - What conversion factor could be used to determine...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - Perform each of the following conversions, being...Ch. 2 - 12.01 g of carbon contains6.021023 carbon atoms....Ch. 2 - Los Angeles and Honolulu are 2558 mi apart. What...Ch. 2 - The United States has high-speed trains running...Ch. 2 - The radius of an atom is on the order of1010 m....Ch. 2 - The temperature scale used in everyday life in...Ch. 2 - The point of water is at 32° on the Fahrenheit...Ch. 2 - Prob. 69QAPCh. 2 - The freezing point of water is _________ K.Ch. 2 - On both the Celsius and Kelvin temperature scales,...Ch. 2 - On which temperature scale (°F, °C, or K) does 1...Ch. 2 - Make the following temperature conversions: 44.2...Ch. 2 - Prob. 74QAPCh. 2 - Convert the following Fahrenheit temperatures to...Ch. 2 - Convert the following Celsius temperatures to...Ch. 2 - The “Chemistry in Focus” segmentTiny...Ch. 2 - Perform the indicated temperature conversions. 275...Ch. 2 - Prob. 79QAPCh. 2 - The most common units for density are ___________.Ch. 2 - A kilogram of lead occupies a much smaller volume...Ch. 2 - If a solid block of glass, with a volume of...Ch. 2 - Is the density of a gaseous substance likely to be...Ch. 2 - What property of density makes it useful as an aid...Ch. 2 - Referring to Table 2.8, which substance listed is...Ch. 2 - Referring to Table 2.8, determine whether...Ch. 2 - For the masses and volumes indicated, calculate...Ch. 2 - For the masses and volumes indicated, calculate...Ch. 2 - The element bromine at room temperature is a...Ch. 2 - Sunflower oil has a density of 0.920 g/mL. What is...Ch. 2 - If 1000. mL of linseed oil has a mass of 929 g....Ch. 2 - A material will float on the surface of a liquid...Ch. 2 - Iron has a density of 7.87 g/cm3. If 52.4 g of...Ch. 2 - The density of pure gold is 19.32 g/cm3 at 20 °C....Ch. 2 - Use the information in Table 2.8 to calculate the...Ch. 2 - Use the information in Table 2.8 to calculate the...Ch. 2 - 97. Indicate the number of significant digits in...Ch. 2 - Express each of the following as an “ordinary”...Ch. 2 - Write each of the following numbers in standard...Ch. 2 - Prob. 100APCh. 2 - Make the following conversions. 1 .25 in. to feet...Ch. 2 - On the planet Xgnu, the most common units of...Ch. 2 - You pass a road sign saying “New York 110 km.” If...Ch. 2 - Convert 45 mi/h to m/s, showing how the units...Ch. 2 - Suppose your car is rated at 45 mi/gal for highway...Ch. 2 - Prob. 106APCh. 2 - For a pharmacist dispensing pills or capsules, it...Ch. 2 - On the planet Xgnu, the natives have 14 fingers....Ch. 2 - For a material to float on the surface of water,...Ch. 2 - A gas cylinder having a volume of 10.5 L contains...Ch. 2 - Using Table 2.8, calculate the volume of 25.0 g of...Ch. 2 - Ethanol and benzene dissolve in each other. 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The...Ch. 2 - A sample containing 33.42 g of metal pellets is...Ch. 2 - Prob. 154APCh. 2 - Prob. 155APCh. 2 - Prob. 156APCh. 2 - Prob. 157APCh. 2 - Prob. 158APCh. 2 - Complete the following table: Number Exponential...Ch. 2 - For each of the mathematical expressions given: a....Ch. 2 - The longest river in the world is the Nile River...Ch. 2 - Secretariat is known as the horse with the fastest...Ch. 2 - A friend tells you that it is 69. 1 °F outside....Ch. 2 - The hottest temperature recorded in the United...Ch. 2 - The density of osmium (the densest metal)...Ch. 2 - The radius of a neon atom is 69 pm, and its mass...
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