Chapter 3, Problem 4PE

Interpretation Introduction

(a)

Interpretation:

To write the equivalency and conversion factors for the given statement that each tablet of vitamin C is 500 milligrams of calcium ascorbate.

Concept introduction:

The measurement is a characteristic number to the object that can be 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 system has 7 fundamental units’ like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in several forms with various choices of the basic units. The metric system indicates a single basic unit for number of physical quantities. Other quantities are derived from the SI units.

Mass, is a dimensional quantity represents the amount of the matter in a particle. The kilograms come under the category of the mass. The kilogram is the basic unit of mass in the international unit system. The gram or 1/1000 kilogram was first defined in the year 1795 as mass of 1 cubic centimeter of water with referred to the melting point of the ice. The mega-gram or often it is called as ton.

Answer to Problem 4PE

The equivalency and conversion factors for each tablet of vitamin C is

1tablet = 500 milligrams, $\frac{\text{1tablet}}{\text{500 milligram}}$, $\frac{\text{500 milligram}}{\text{1tablet}}$ of calcium ascorbate.

Explanation of Solution

1tablet = 500 milligrams, or

$\frac{\text{1tablet}}{\text{500 milligram}}$, or

$\frac{\text{500 milligram}}{\text{1tablet}}$

Conclusion

Thus equivalency and conversion factors for each tablet of vitamin C is

1tablet = 500 milligrams, $\frac{\text{1tablet}}{\text{500 milligram}}$, $\frac{\text{500 milligram}}{\text{1tablet}}$ of calcium ascorbate.

Interpretation Introduction

(b)

Interpretation:

To write the equivalency and conversion factors for the given statement that there is a total volume of 288 fluid ounces in the case of soda.

Concept introduction:

The measurement is a characteristic number to the object that can be 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 system has 7 fundamental units’ like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in several forms with various choices of the basic units. The metric system indicates a single basic unit for number of physical quantities. Other quantities are derived from the SI units.

Mass, is a dimensional quantity represents the amount of the matter in a particle. The kilograms come under the category of the mass. The kilogram is the basic unit of mass in the international unit system. The gram or 1/1000 kilogram was first defined in the year 1795 as mass of 1 cubic centimeter of water with referred to the melting point of the ice. The mega-gram or often it is called as ton.

Answer to Problem 4PE

The equivalency and conversion factors for the total volume of 288 fluid ounces in the case of

soda is $\begin{array}{l}\text{288 fluid}\text{ounce = 1}\text{case, or}\\ \frac{\text{288 fluid}\text{ounce}}{\begin{array}{l}\text{1case}\\ \frac{\text{1}\text{case}}{\text{288 fluid}\text{ounce}}\end{array}}\text{, or}\end{array}$

Explanation of Solution

$\begin{array}{l}\text{288 fluid}\text{ounce = 1}\text{case, or}\\ \frac{\text{288 fluid}\text{ounce}}{\begin{array}{l}\text{1case}\\ \frac{\text{1}\text{case}}{\text{288 fluid}\text{ounce}}\end{array}}\text{, or}\end{array}$

Conclusion

The equivalency and conversion factors for the total volume of 288 fluid ounces in the case of soda is

$\begin{array}{l}\text{288 fluid}\text{ounce = 1}\text{case, or}\\ \frac{\text{288 fluid}\text{ounce}}{\begin{array}{l}\text{1case}\\ \frac{\text{1}\text{case}}{\text{288 fluid}\text{ounce}}\end{array}}\text{, or}\end{array}$

Interpretation Introduction

(c)

Interpretation:

To write the equivalency and conversion factors for the given statement that 10 nickels are the same amount of money as 2 quarters.

Concept introduction:

The measurement is a characteristic number to the object that can be 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 system has 7 fundamental units’ like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in several forms with various choices of the basic units. The metric system indicates a single basic unit for number of physical quantities. Other quantities are derived from the SI units.

Mass, is a dimensional quantity represents the amount of the matter in a particle. The kilograms come under the category of the mass. The kilogram is the basic unit of mass in the international unit system. The gram or 1/1000 kilogram was first defined in the year 1795 as mass of 1 cubic centimeter of water with referred to the melting point of the ice. The mega-gram or often it is called as ton.

Answer to Problem 4PE

The equivalency and conversion factors for 10 nickels are the same amount of money as 2 quarters is

$\begin{array}{l}\text{10}\text{nickels = 2quarter, or}\\ \frac{\text{10}\text{nickels}}{\begin{array}{l}\text{2}\text{quarters}\\ \frac{\text{2}\text{quarters}}{\text{10}\text{nickels}}\end{array}}\text{, or}\end{array}$

Explanation of Solution

$\begin{array}{l}\text{10}\text{nickels = 2quarter, or}\\ \frac{\text{10}\text{nickels}}{\begin{array}{l}\text{2}\text{quarters}\\ \frac{\text{2}\text{quarters}}{\text{10}\text{nickels}}\end{array}}\text{, or}\end{array}$

Conclusion

Thus equivalency and conversion factors for 10 nickels are the same amount of money as 2 quarters is

$\begin{array}{l}\text{10}\text{nickels = 2quarter, or}\\ \frac{\text{10}\text{nickels}}{\begin{array}{l}\text{2}\text{quarters}\\ \frac{\text{2}\text{quarters}}{\text{10}\text{nickels}}\end{array}}\text{, or}\end{array}$

Interpretation Introduction

(d)

Interpretation:

To write the equivalency and conversion factors for the given statement that the recipe calls for 2 ¾ cups of flour to make 24 cupcakes.

Concept introduction:

The measurement is a characteristic number to the object that can be 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 system has 7 fundamental units’ like kilogram, meter, candela, ampere, kelvin and mole. The metric system is a decimal system of the measurement based on the units for the length, meter, the mass, the kilogram. It exists in several forms with various choices of the basic units. The metric system indicates a single basic unit for number of physical quantities. Other quantities are derived from the SI units.

Mass, is a dimensional quantity represents the amount of the matter in a particle. The kilograms come under the category of the mass. The kilogram is the basic unit of mass in the international unit system. The gram or 1/1000 kilogram was first defined in the year 1795 as mass of 1 cubic centimeter of water with referred to the melting point of the ice. The mega-gram or often it is called as ton.

Answer to Problem 4PE

The equivalency and conversion factors for the recipe calls for 2 ¾ cups of flour to make 24 cupcakes is

$\begin{array}{l}{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups = 24}\text{cupcakes, or}\\ \frac{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}{\begin{array}{l}\text{24}\text{cupcakes}\\ \frac{\text{24}\text{cupcakes}}{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}\end{array}}\text{, or}\end{array}$

Explanation of Solution

$\begin{array}{l}{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups = 24}\text{cupcakes, or}\\ \frac{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}{\begin{array}{l}\text{24}\text{cupcakes}\\ \frac{\text{24}\text{cupcakes}}{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}\end{array}}\text{, or}\end{array}$

Conclusion

Thus The equivalency and conversion factors for the recipe calls for 2 ¾ cups of flour to make 24 cupcakes is

$\begin{array}{l}{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups = 24}\text{cupcakes, or}\\ \frac{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}{\begin{array}{l}\text{24}\text{cupcakes}\\ \frac{\text{24}\text{cupcakes}}{{\text{2}}^{\frac{\text{3}}{\text{4}}}\text{cups}}\end{array}}\text{, or}\end{array}$