Chapter 1.2, Problem 77E

a)

To determine

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

Answer to Problem 77E

  $69,300,000=6.93\times {10}^7$

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

  $\begin{array}{c}69,300,000=6.93\times 10000000\\ =6.93\times {10}^7\end{array}$

Hence, $69,300,000=6.93\times {10}^7$ .

b)

To determine

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

Answer to Problem 77E

  $7,200,000,000,000=7.2\times {10}^{12}$

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

  $\begin{array}{c}7,200,000,000,000=7.2\times 1000000000000\\ =7.2\times {10}^{12}\end{array}$

Hence, $7,200,000,000,000=7.2\times {10}^{12}$ .

c)

To determine

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

Answer to Problem 77E

  $0.000028536=2.8356\times {10}^{-5}$

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

  $\begin{array}{c}0.000028536=2.8536÷100000\\ =2.8536÷{10}^5\\ =2.8356\times {10}^{-5}\end{array}$

Hence, $0.000028536=2.8356\times {10}^{-5}$ .

d)

To determine

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

Answer to Problem 77E

  $0.0001213=1.213\times {10}^{-4}$

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

  $\begin{array}{c}0.0001213=1.213÷10000\\ =1.213÷{10}^4\\ =1.213\times {10}^{-4}\end{array}$

Hence, $0.0001213=1.213\times {10}^{-4}$ .