# the number 69 , 300 , 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 77E

a)

To determine

## To write: the number 69,300,000 in scientific notation.

Expert Solution

69,300,000=6.93×107

### Explanation of Solution

Given information:

Given number

69,300,000

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.

69,300,000

So, the number can be expressed in scientific notation as

69,300,000=6.93×10000000=6.93×107

Hence, 69,300,000=6.93×107 .

b)

To determine

### To write: the number 7,200,000,000,000 in scientific notation.

Expert Solution

7,200,000,000,000=7.2×1012

### Explanation of Solution

Given information:

Given number

7,200,000,000,000

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.

7,200,000,000,000

So, the number can be expressed in scientific notation as

7,200,000,000,000=7.2×1000000000000=7.2×1012

Hence, 7,200,000,000,000=7.2×1012 .

c)

To determine

### To write: the number 0.000028536 in scientific notation.

Expert Solution

0.000028536=2.8356×105

### Explanation of Solution

Given information:

Given number

0.000028536

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.

0.000028536

So, the number can be expressed in scientific notation as

0.000028536=2.8536÷100000=2.8536÷105=2.8356×105

Hence, 0.000028536=2.8356×105 .

d)

To determine

### To write: the number 0.0001213 in scientific notation.

Expert Solution

0.0001213=1.213×104

### Explanation of Solution

Given information:

Given number

0.0001213

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.

0.0001213

So, the number can be expressed in scientific notation as

0.0001213=1.213÷10000=1.213÷104=1.213×104

Hence, 0.0001213=1.213×104 .

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