Chapter 3, Problem 114E

Determine whether each statement that follows is true or false:

a) The SI system includes metric units.

b) If two quantities are expressed in an equivalency, they are directly proportional to each other.

c) The scientific notation form of a number smaller than 1 has a positive exponent.

d) In changing a number in scientific notation whose coefficient is not between 1 and 10 to standard scientific notation, the exponent becomes smaller if the decimal in the coefficient is moved to the right.

e) There are 1000 kilounits in a unit.

f) There are 10 milliunits in a centiunit

g) There are 1000 milliliters in a cubic centimeter.

h) The mass of an object is independent of its location in the universe.

i) Celsius degrees are smaller than Fahrenheit degrees.

j) The uncertain digit is the last digit written when a number is expressed properly in significant figures.

k) The quantity 76.2 g means the same as 76.200 g.

l) The number of significant figures in a sum may be more than the number of significant figures in any of the quantities added.

m) The number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted.

n) The number of significant figures in a product may be more than the number of significant figures in any of the quantities multiplied.

o) The process of analysis of a problem statement includes describing the properties of the given and wanted quantities.

p) If the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable.

q) Conversion factors can be used to change from one unit to another only when the quantities are directly proportional.

r) When you are learning chemistry, you should check the solution to each problem you solve at two levels: (1) is the value reasonable? (2) what new knowledge or skill did I obtain or improve?

s) There is no advantage to using units in a problem that is solved by algebra.

t) A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor.

Interpretation Introduction

(a)

Interpretation:

Each statement that follows is to be determined as true or false.

The SI system includes metric units.

Concept introduction:

The measurement is a characteristic number to the object that can be compared with other objects. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The system has 7 fundamental units like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system used to measure the length, meter, the mass, the kilogram. The metric system is a single basic unit used for number of physical quantities. The quantities are derived from the SI units.

Answer to Problem 114E

The SI system includes metric units-the statement is true.

Explanation of Solution

SI units are subgroup of units in the metric system, which often uses by modern day researchers. Moreover, French name for an International System of Units is abbreviated in terms of ‘SI’. Often, the seven base units are described by the SI system that features as basic definitions. These base units are units of mass, length and temperature. Notably, the combination of base units are described as derived units and they denoted as density and volume.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(b)

Interpretation:

Each statement that follows is to be determined as true or false.

If two quantities are expressed in an equivalency, they are directly proportional to each other.

Concept introduction:

Equivalency is defined as the two quantities that are equivalent in value. For example: 0.025 furlong is equal to 1 rod. Here, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

Answer to Problem 114E

If two quantities are expressed in an equivalency, they are directly proportional to each other-the statement is true.

Explanation of Solution

Equivalency is defined as the two quantities that are equivalent in value. For example: 0.025 furlong is equal to 1 rod. Here, furlong and rod represent the same physical length but expressed in various units. When an equivalency is denoted as a fractional value it is called ‘conversion factor’. Moreover, two conversion factors result from each equivalency.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(c)

Interpretation:

Each statement that follows is to be determined as true or false.

The scientific notation form of a number smaller than 1 has a positive exponent

Concept introduction:

Scientific notation is a method to express a specified quantity of number having meaningful figures that is necessary for a specified degree of accuracy which is multiplied by 10^th power.

Answer to Problem 114E

The given statement is false.

Explanation of Solution

Scientific notation is a method to express a specified quantity of number having meaningful figures that is necessary for a specified degree of accuracy which is multiplied by 10^th power.

Moreover, scientific notation is part of math, science and permits us to deal with a vast assembling of numbers, large and small. The key component of a scientific notation is coefficient and exponential.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(d)

Interpretation:

Each statement that follows is to be determined as true or false.

In changing a number in scientific notation whose coefficient is not between 1 and 10 to standard scientific notation, the exponent becomes smaller if the decimal in the coefficient is moved to the right.

Concept introduction:

Scientific notation is a method to express a specified quantity of number having meaningful figures that is necessary for a specified degree of accuracy which is multiplied by 10^th power.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

Scientific notation is a method to express a specified quantity of number having meaningful figures that is necessary for a specified degree of accuracy which is multiplied by 10^th power.

Moreover, scientific notation is part of math, science and permits us to deal with a vast assembling of numbers, large and small. The key component of a scientific notation is coefficient and exponential.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(e)

Interpretation:

Each statement that follows is to be determined as true or false.

There are 1000 kilounits in a unit.

Concept introduction:

Scientific measurements which are used on routine basis are formed in the metric system. These systems are standardized globally. The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement.

Answer to Problem 114E

There are 1000 kilounits in a unit-the statement is false.

Explanation of Solution

A unit expressed in kilo scale is called as kilo unit. In this case, the unit may be gram (g), liter (L) or meter (m). 1000 units is equal to 1 kilo unit (or) 1000 u / 1 ku. The number of units is directly proportional to the number of kilo units. In contrast, 1 kilo gram is the unit of gram expressed in kilo. 1 kilo gram is equal to 1000 g (or) 1 kg = 1000 g.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(f)

Interpretation:

Each statement that follows is to be determined as true or false.

There are 10 milliunits in a centiunit

Concept introduction:

Scientific measurements which are used on routine basis are formed in the metric system. These systems are standardized globally. The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement.

Answer to Problem 114E

There are 10 milliunits in a centiunit- the statement is true.

Explanation of Solution

A unit expressed in kilo scale is called as kilo unit. In this case, the unit may be gram (g), liter (L) or meter (m). 1000 units is equal to 1 kilo unit (or) 1000 u / 1 ku. The number of units is directly proportional to the number of kilo units. In contrast, 1 kilo gram is the unit of gram expressed in kilo. 1 kilo gram is equal to 1000 g (or) 1 kg = 1000 g.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(g)

Interpretation:

Each statement that follows is to be determined as true or false.

There are 1000 milliliters in a cubic centimeter.

Concept introduction:

Scientific measurements which are used on routine basis are formed in the metric system. These systems are standardized globally. The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement.

Answer to Problem 114E

The given statement is false

Explanation of Solution

A unit expressed in kilo scale is called as kilo unit. In this case, the unit may be gram (g), liter (L) or meter (m). 1000 units is equal to 1 kilo unit (or) 1000 u / 1 ku. The number of units is directly proportional to the number of kilo units. Moreover, 1 cubic centimeter is given as 1 milliliter or 1000 cm³ = 1000 mL.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(h)

Interpretation:

Each statement that follows is to be determined as true or false for the given mass of an object is independent of its location in the universe.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

The quantity of matter is measured in terms of mass. In contrast, weight deals with the force of gravitational attraction. Generally, weight is proportional to mass, but the value depends on the place on universe, where the measurement is taken. Thus, the mass of an object is independent of its location in the universe – the statement is true.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(i)

Interpretation:

Each statement that follows is to be determined as true or false for the given statement that Celsius degrees are smaller than Fahrenheit degrees.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is false.

Explanation of Solution

These scales of temperature are based on the fact that water freezes and boils at a temperature and at standard atmospheric pressure. The freezing and boiling point of water remains same irrespective of the temperature scale which is used to calculate them. Moreover, the Fahrenheit temperature scale divides at 180 degrees the boiling and freezing points. i.e., 212-32 is equal to 180. Besides, the Celsius temperature scale divides the temperature difference into 100 degrees i.e., 100-0 is equal to 100.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(j)

Interpretation:

Each statement that follows is to be determined as true or false.

The uncertain digit is the last digit written when a number is expressed properly in significant figures.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. Significant figures are the number of digits which are known accurately and the uncertain digit. Besides, the uncertain digit is a last digit written in a significant figure.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(k)

Interpretation:

Each statement that follows is to be determined as true or false.

The quantity 76.2 g means the same as 76.200 g.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is false.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. Ex: The quantity 76.2 g means the same as 76.200 g is not significant figure.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(l)

Interpretation:

Each statement that follows is to be determined as true or false.

The number of significant figures in a sum may be more than the number of significant figures in any of the quantities added.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. Significant figures are the number of digits which are known accurately and the uncertain digit. Ex: The quantity 76.2 g means the same as 76.200 g is not significant figure. Thus, the number of significant figures in a sum may be more than the number of significant figures in any of the quantities added.-

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(m)

Interpretation:

Each statement that follows is to be determined as true or false for the given number of significant figures.

Concept introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

Significant figures are the number of digits which are known accurately and the uncertain digit. Ex: The quantity 76.2 g means the same as 76.200 g is not significant figure. Thus, the number of significant figures in a sum may be more than the number of significant figures in any of the quantities added. Notably, the number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(n)

Interpretation:

Each statement that follows is to be determined as true or false for the given number of significant figures.

Introduction:

The researchers all over the world accept the scope and applications of metric units. The decimal based nature of scientific system makes their wide spread applications as a standard of measurement. Intriguingly, the units changes only by powers of ten. For example: a decimeter is consisting of 10 centimeter and a meter has 10 decimeters.

Answer to Problem 114E

The given statement is false.

Explanation of Solution

Significant figures are the number of digits which are known accurately and the uncertain digit. Ex: The quantity 76.2 g means the same as 76.200 g is not significant figure. Thus, the number of significant figures in a sum may be more than the number of significant figures in any of the quantities added. Notably, the number of significant figures in a difference may be fewer than the number of significant figures in any of the quantities subtracted. Thus, the number of significant figures in a product may be more than the number of significant figures in any of the quantities multiplied is a false statement.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(o)

Interpretation:

Each statement that follows is to be determined as true or false.

The process of analysis of a problem statement includes describing the properties of the given and wanted quantities.

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

The given statement is true.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The term analyze is evaluation of problem statement with the given quantity i.e., the product of value and unit. Identity is the process of collection of equivalencies or an algebraic relationship which are needed to solve the problem. Construct deals with setting up the solution. Check involves solution checkup with the levels of making sense and what was learned.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(p)

Interpretation:

Each statement that follows is to be determined as true or false that the quantity in the answer to a problem is familiar.

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

The given statement is false.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The term analyze is evaluation of problem statement with the given quantity i.e., the product of value and unit. Identity is the process of collection of equivalencies or an algebraic relationship which are needed to solve the problem. Construct deals with setting up the solution. Check involves solution checkup with the levels of making sense and what was learned. Based on these concepts if the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable is a false statement.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(q)

Interpretation:

Each statement that follows is to be determined as true or false that the conversion factors is used to change from one unit to another.

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

Conversion factors can be used to change from one unit to another only when the quantities are directly proportional– the statement is true.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The term analyze is evaluation of problem statement with the given quantity i.e., the product of value and unit. Identity is the process of collection of equivalencies or an algebraic relationship which are needed to solve the problem. Construct deals with setting up the solution. Check involves solution checkup with the levels of making sense and what was learned. Thus, if the quantity in the answer to a problem is familiar, it is not necessary to check to make sure the answer is reasonable.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(r)

Interpretation:

Each statement that follows is to be determined as true or false.

When you are learning chemistry, you should check the solution to each problem you solve at two levels: (1) is the value reasonable? (2) What new knowledge or skill did I obtain or improve?

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

When you are learning chemistry, you should check the solution to each problem you solve at two levels: (1) is the value reasonable? (2) What new knowledge or skill did I obtain or improve? – The statement is true.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The term analyze is evaluation of problem statement with the given quantity i.e., the product of value and unit. Identity is the process of collection of equivalencies or an algebraic relationship which are needed to solve the problem. Construct deals with setting up the solution. Check involves solution checkup with the levels of making sense and what was learned. The solution to each problem can be checked at two levels: (1) reasonability of values (2) obtaining the new knowledge.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(s)

Interpretation:

Each statement that follows is to be determined as true or false.

There is no advantage in using the units in a problem solved by algebra.

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

There is no advantage in using the units in a problem solved by algebra – the statement is false.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The solution to each problem can be checked at two levels: (1) reasonability of values (2) obtaining the new knowledge. Notably, an algebraic relationship is needed to solve any problem.

Conclusion

Thus, each statement that follows is determined as true or false.

Interpretation Introduction

(t)

Interpretation:

Each statement that follows is to be determined as true or false.

A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor.

Concept introduction:

The measurement is characteristic number to the object compared with other object. The scope of the measurement depends upon the context and event. Measurement is commonly used as the international system of unit as a comparison framework. The measurement system has seven fundamental units like kilogram, meter, candela, ampere, kelvin and mole.

Answer to Problem 114E

A Fahrenheit temperature can be changed to a Celsius temperature by multiplying by a conversion factor – the statement is false.

Explanation of Solution

The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. The solution to each problem can be checked at two levels: (1) reasonability of values (2) obtaining the new knowledge. Notably, an algebraic relationship is needed to solve any problem. A Fahrenheit temperature cannot be changed to a Celsius temperature by multiplying by a conversion factor

Conclusion

Thus, each statement that follows is determined as true or false.