Chapter 3, Problem 60A

a.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $9.85\times {10}^1\text{L}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $98.5\text{L}$ .

The scientific notation is given as:

  $98.5\text{L}\text{=}9.85\times {10}^1\text{L}$

b.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $7.63\times {10}^{-4}\text{cg}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $0.000763\text{cg}$ .

The scientific notation is given as:

  $0.000763\text{cg}\text{=}7.63\times {10}^{-4}\text{cg}$

c.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $5.7\times {10}^1\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $57.0\text{m}$ .

The scientific notation is given as:

  $57.0\text{m}\text{=}5.7\times {10}^1\text{m}$

d.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $1.22\times {10}^1{}^{\circ }\text{C}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $12.2{}^{\circ }\text{C}$ .

The scientific notation is given as:

  $12.2{}^{\circ }\text{C}\text{=}1.22\times {10}^1{}^{\circ }\text{C}$

e.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $\text{7}\text{.50}\times {\text{10}}^1\text{mm}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $0.00750\times {10}^4\text{mm}$ .

The scientific notation is given as:

  $\begin{array}{c}0.00750\times {10}^4\text{mm}\text{=}7.50\times {10}^{-3}\times {10}^4\text{mm}\\ \text{= 7}\text{.50}\times {\text{10}}^1\text{mm}\end{array}$

f.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $1.76\times {10}^3\text{ml}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $1760\text{ml}$ .

The scientific notation is given as:

  $1760\text{ml}\text{=}1.76\times {10}^3\text{ml}$

g

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $4.31\times {10}^1\text{g}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $43.1\text{g}$ .

The scientific notation is given as:

  $43.1\text{g}\text{=}4.31\times {10}^1\text{g}$

h.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $7.3\times {10}^0{\text{cm}}^2$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient $.000763\text{cg}$ and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $7.3{\text{cm}}^2$ .

The scientific notation is given as:

  $7.3{\text{cm}}^2\text{=}7.3\times {10}^0{\text{cm}}^2$

i.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $2.258\times {10}^2\text{L}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $225.8\text{L}$ .

The scientific notation is given as:

  $225.8\text{L}\text{=}2.258\times {10}^2\text{L}$

j.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $9.20\times {10}^1\text{m}$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $92.0\text{m}$ .

The scientific notation is given as:

  $92.0\text{m}\text{=}9.20\times {10}^1\text{m}$

k.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $3.24\times {10}^1{\text{m}}^3$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $32.4{\text{m}}^3$ .

The scientific notation is given as:

  $32.4{\text{m}}^3\text{=}3.24\times {10}^1{\text{m}}^3$

l.

Interpretation Introduction

Interpretation : The round-off answers are to be expressed in scientific notation.

Concept Introduction : A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Answer to Problem 60A

The answer in the scientific notation is $1.04\times {10}^2{\text{m}}^3$ .

Explanation of Solution

A given number is stated as the product of two numbers in scientific notation: a coefficient and 10 raised to a power.

Every number bigger than one and less than 10 is a coefficient.

There is an integer exponent.

The given answer is $104{\text{m}}^3$ .

The scientific notation is given as:

  $104{\text{m}}^3\text{=}1.04\times {10}^2{\text{m}}^3$