# the number 3.19 × 10 5 in decimal 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 79E

a)

To determine

## To write: the number 3.19×105 in decimal notation.

Expert Solution

3.19×105=319,000

### Explanation of Solution

Given information:

Given number

3.19×105

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 in scientific notation.

3.19×105

Here, the exponent of 10 is 5.

Move the decimal point right to 5 places.

So, the number can be expressed in decimal notation as

3.19×105=3.19×100000=319,000

b)

To determine

### To write: the number 2.721×108 in decimal notation.

Expert Solution

2.721×108=2,721,000,00

### Explanation of Solution

Given information:

Given number

2.721×108

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 in scientific notation.

2.721×108

Here, the exponent of 10 is 8.

Move the decimal point right to 8 places.

So, the number can be expressed in decimal notation as

2.721×108=2.272×100000000=2,272,000,00

c)

To determine

### To write: the number 2.670×10−8 in decimal notation.

Expert Solution

2.670×108=0.000000002670

### Explanation of Solution

Given information:

Given number

2.670×108

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 in scientific notation.

2.670×108

Here, the exponent of 10 is 8 but it is negative.

Move the decimal point left to 8 places.

So, the number can be expressed in decimal notation as

2.670×108=2.670÷108=2.670÷100000000=0.000000002670

d)

To determine

### To write: the number 9.999×10−9 in decimal notation.

Expert Solution

9.999×109=0.00000009999

### Explanation of Solution

Given information:

Given number

9.999×109

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 in scientific notation.

9.999×109

Here, the exponent of 10 is 8 but it is negative.

Move the decimal point left to 8 places.

So, the number can be expressed in decimal notation as

9.999×109=9.999÷109=9.999÷1000000000=0.00000009999

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