# the number 129 , 540 , 000 in scientific notation. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.2, Problem 78E

a)

To determine

## To write: the number 129,540,000 in scientific notation.

Expert Solution

129,540,000=1.2954×108

### Explanation of Solution

Given information:

Given number

129,540,000

Concept used:

Scientific notation:

A notation in which a given quantity can be expressed as a number with significant digits required for a specified degree of accuracy and multiplied by 10 to the appropriate power.

Calculation:

Consider the given number.

129,540,000

So, the number can be expressed in scientific notation as

129,540,000=1.2954×100000000=1.2954×108

Hence, 129,540,000=1.2954×108 .

b)

To determine

### To write: the number 7,259,000,000 in scientific notation.

Expert Solution

7,259,000,000=7.259×109

### Explanation of Solution

Given information:

Given number

7,259,000,000

Concept used:

Scientific notation:

A notation in which a given quantity can be expressed as a number with significant digits required for a specified degree of accuracy and multiplied by 10 to the appropriate power.

Calculation:

Consider the given number.

7,259,000,000

So, the number can be expressed in scientific notation as

7,259,000,000=7.259×1000000000=7.259×109

Hence, 7,259,000,000=7.259×109 .

c)

To determine

### To write: the number 0.0000000014 in scientific notation.

Expert Solution

0.0000000014=1.4×109

### Explanation of Solution

Given information:

Given number

0.0000000014

Concept used:

Scientific notation:

A notation in which a given quantity can be expressed as a number with significant digits required for a specified degree of accuracy and multiplied by 10 to the appropriate power.

Calculation:

Consider the given number.

0.0000000014

So, the number can be expressed in scientific notation as

0.0000000014=1.4÷1000000000=1.4÷109=1.4×109

Hence, 0.0000000014=1.4×109 .

d)

To determine

### To write: the number 0.0007029 in scientific notation.

Expert Solution

0.0007029=7.029×104

### Explanation of Solution

Given information:

Given number

0.0007029

Concept used:

Scientific notation:

A notation in which a given quantity can be expressed as a number with significant digits required for a specified degree of accuracy and multiplied by 10 to the appropriate power.

Calculation:

Consider the given number.

0.0007029

So, the number can be expressed in scientific notation as

0.0007029=7.029÷10000=7.029÷104=7.029×104

Hence, 0.0007029=7.029×104 .

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