Chapter 1, Problem 1.65QP

Write the following measurements, without scientific notation, using the appropriate SI prefix.

1. a 5.89 × 10⁻¹² s
2. b 0.2010 m
3. c 2.560 × 10⁻⁹ g
4. d 6.05 × 10⁵ m

Interpretation Introduction

Interpretation:

To express the given quantity using SI prefix and base unit.

Concept Introduction:

The system of unit is used by Lavoisier in eighteenth century.  Metric system and SI units are used to express the measurements in physical experiments.

SI-Base units:

Weights and measurements adopted the “International System of units” which is a particular choice of metric units and this system has seven type SI base units is “length, mass, time, temperature, amount of substance, electric current and luminous intensity” and the SI units from all others can be derived. Meter, kilogram, second, kelvin, mole, ampere and candela are the SI base units.

For example, SI base unit of length and mass is, “meter(m)” and kilogram(kg) respectively.

SI-Prefixes:

A prefix system which is used in the International System to indicate a power of 10 is called “SI-Prefix system”. Pico, nano, micro, milli, deci, centi, mega, and kilo are the SI prefix units.

For example, SI prefix of very small lengths is “nanometer (nm) and “Pico meter(pm)”.

Explanation of Solution

The SI-Prefix and base unit for the given quantity can be given as follows,

$\begin{array}{l}{\text{10}}^{\text{-12}}\text{ s }\text{=}\text{1 ps}\\ \text{Therefore,}\\ 5.89\text{×}{\text{10}}^{\text{-12}}\text{ s}\text{=}\text{5}\text{.89}\text{ps}\end{array}$

Conclusion

The given quantity was expressed by using SI prefix and base unit

Interpretation Introduction

Interpretation:

To express the given quantity using SI prefix and base unit.

Concept Introduction:

The system of unit is used by Lavoisier in eighteenth century.  Metric system and SI units are used to express the measurements in physical experiments.

SI-Base units:

Weights and measurements adopted the “International System of units” which is a particular choice of metric units and this system has seven type SI base units is “length, mass, time, temperature, amount of substance, electric current and luminous intensity” and the SI units from all others can be derived. Meter, kilogram, second, kelvin, mole, ampere and candela are the SI base units.

For example, SI base unit of length and mass is, “meter(m)” and kilogram(kg) respectively.

SI-Prefixes:

A prefix system which is used in the International System to indicate a power of 10 is called “SI-Prefix system”. Pico, nano, micro, milli, deci, centi, mega, and kilo are the SI prefix units.

For example, SI prefix of very small lengths is “nanometer (nm) and “Pico meter(pm)”.

Explanation of Solution

The SI-Prefix and base unit for the given quantity can be given as follows,

$\begin{array}{l}\text{0}\text{.001 m }\text{=}\text{1 dm}\\ \text{Therefore,}\\ \text{0}\text{.2010 m}\text{=}\text{2}\text{.01 dm}\end{array}$

Conclusion

The given quantity was expressed by using SI prefix and base unit.

Interpretation Introduction

Interpretation:

To express the given quantity using SI prefix and base unit.

Concept Introduction:

The system of unit is used by Lavoisier in eighteenth century.  Metric system and SI units are used to express the measurements in physical experiments.

SI-Base units:

Weights and measurements adopted the “International System of units” which is a particular choice of metric units and this system has seven type SI base units is “length, mass, time, temperature, amount of substance, electric current and luminous intensity” and the SI units from all others can be derived. Meter, kilogram, second, kelvin, mole, ampere and candela are the SI base units.

For example, SI base unit of length and mass is, “meter(m)” and kilogram(kg) respectively.

SI-Prefixes:

A prefix system which is used in the International System to indicate a power of 10 is called “SI-Prefix system”. Pico, nano, micro, milli, deci, centi, mega, and kilo are the SI prefix units.

For example, SI prefix of very small lengths is “nanometer (nm) and “Pico meter(pm)”.

Explanation of Solution

The SI-Prefix and base unit for the given quantity can be given as follows,

$\begin{array}{l}{\text{10}}^{\text{-9}}\text{ g }\text{=}\text{1 ng}\\ \text{Therefore,}\\ 2.560\text{×}{\text{10}}^{\text{-9}}\text{ g}\text{=}2.560\text{ng}\end{array}$

Conclusion

The given quantity was expressed by using SI prefix and base unit

Interpretation Introduction

Interpretation:

To express the given quantity using SI prefix and base unit.

Concept Introduction:

The system of unit is used by Lavoisier in eighteenth century.  Metric system and SI units are used to express the measurements in physical experiments.

SI-Base units:

Weights and measurements adopted the “International System of units” which is a particular choice of metric units and this system has seven type SI base units is “length, mass, time, temperature, amount of substance, electric current and luminous intensity” and the SI units from all others can be derived. Meter, kilogram, second, kelvin, mole, ampere and candela are the SI base units.

For example, SI base unit of length and mass is, “meter(m)” and kilogram(kg) respectively.

SI-Prefixes:

A prefix system which is used in the International System to indicate a power of 10 is called “SI-Prefix system”. Pico, nano, micro, milli, deci, centi, mega, and kilo are the SI prefix units.

For example, SI prefix of very small lengths is “nanometer (nm) and “Pico meter(pm)”.

Explanation of Solution

The SI-Prefix and base unit for the given quantity can be given as follows,

$\begin{array}{l}{\text{10}}^3\text{ m }\text{=}\text{1 km}\\ \text{Therefore,}\\ 6.05\text{×}{\text{10}}^3\text{ m}\text{=}6.05\text{km}\end{array}$

Conclusion

The given quantity was expressed by using SI prefix and base unit.