Express the diameter of a nanoparticle(0.000 000 050 m) in scientific notation, and then express the number and unit with the most appropriate prefix.

Question

Want to see more full solutions like this?

Answer 1

Textbook Question

Chapter 1, Problem 1.1P

Express the diameter of a nanoparticle(0.000 000 050 m) in scientific notation, and then express the number and unit with the most appropriate prefix.

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

b) Certain cyclic compounds are known to be conformationally similar to carbohydrates, although they are not themselves carbohydrates. One example is Compound C shown below, which could be imagined as adopting four possible conformations. In reality, however, only one of these is particularly stable. Circle the conformation you expect to be the most stable, and provide an explanation to justify your choice. For your explanation to be both convincing and correct, it must contain not only words, but also "cartoon" orbital drawings contrasting the four structures. Compound C Possible conformations (circle one): Дет

Lab Data The distance entered is out of the expected range. Check your calculations and conversion factors. Verify your distance. Will the gas cloud be closer to the cotton ball with HCI or NH3? Did you report your data to the correct number of significant figures? - X Experimental Set-up HCI-NH3 NH3-HCI Longer Tube Time elapsed (min) 5 (exact) 5 (exact) Distance between cotton balls (cm) 24.30 24.40 Distance to cloud (cm) 9.70 14.16 Distance traveled by HCI (cm) 9.70 9.80 Distance traveled by NH3 (cm) 14.60 14.50 Diffusion rate of HCI (cm/hr) 116 118 Diffusion rate of NH3 (cm/hr) 175.2 175.2 How to measure distance and calculate rate

For the titration of a divalent metal ion (M2+) with EDTA, the stoichiometry of the reaction is typically: 1:1 (one mole of EDTA per mole of metal ion) 2:1 (two moles of EDTA per mole of metal ion) 1:2 (one mole of EDTA per two moles of metal ion) None of the above

Answer 2

Textbook Question

Chapter 1, Problem 1.1P

Express the diameter of a nanoparticle(0.000 000 050 m) in scientific notation, and then express the number and unit with the most appropriate prefix.

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Textbook Question

Chapter 1, Problem 1.1P

Express the diameter of a nanoparticle(0.000 000 050 m) in scientific notation, and then express the number and unit with the most appropriate prefix.

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Textbook Question

Chapter 1, Problem 1.1P

Express the diameter of a nanoparticle(0.000 000 050 m) in scientific notation, and then express the number and unit with the most appropriate prefix.

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Answer 8

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.

Conclusion

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Interpretation Introduction

Interpretation:

The diameter of the nanoparticle in scientific notation with number and unit in most appropriate prefix is to be expressed.

Concept introduction:

The size of the units on any system of measurement can be inconveniently very large or small. To solve this problem, SI units are modified by use of some appropriate prefixes that are placed before the units to signify how small or big the size of the unit is. For example, the prefix milli is used to represent one-thousandth of 1 meter.

Similarly, numbers that are too large or too small are represented by an exponential format called scientific notations for convenience.

Scientific notations are generally expressed as follows:

m ×10n

Where,

n is the number of places the decimal has moved and is known as an exponent.
m is the number.

An example is 55000 is represented as 5.5×104.

Answer 12

Answer to Problem 1.1P

The scientific notation for 0.000000050 m is 5.0×10−8m and the number and unit with the most appropriate prefix will be 50 nm.

Answer 13

Explanation of Solution

Given information:

The diameter of the nanoparticle is 0.000000050 m

To assign scientific notation( m ×10n ),

The decimal point is moved to either right or left until a number is obtained that lies between 1 to 10.
If the decimal is moved to the right, then the exponent is negative and if the decimal is moved to left then the exponent is positive.
Select an appropriate prefix that is close to the exponent.

The scientific notation for 0.000000050 m can be written by shifting the decimal 8 places to the right. So the exponent (n) will be −8 and the scientific notation becomes 5.0×10−8m.

The appropriate prefix that is close to the exponent will be Nano. Nano is equal to 0.000000001 and in the scientific exponent, it will be 10−9. So the number and unit with the most appropriate prefix will be 50 nm.