Chapter 16, Problem 107A

(a)

Interpretation Introduction

Interpretation: The conversion of $347\text{ g}$ into a Kilogram is to be calculated.

Concept Introduction:

While performing numerical, it is important to have uniform S.I units for better calculation; therefore, understanding the conversions of these units is crucial.

Answer to Problem 107A

The $347\text{ g}$ into kilogram is $0.35\text{kg}$ .

Explanation of Solution

A kilogram is the basic unit of mass that is proposed by the International System of Units (SI).

Therefore,

  $\begin{array}{c}1\text{kg}=1000g\\ \text{kg}=\frac{1}{1000}\times \text{g}\end{array}$

Convert $\text{g}$ (grams) to $\text{kg}$ (kilogram).

  $\begin{array}{c}347\text{ g}=347\times \frac{1\text{kg}}{1000\text{g}}\\ =0.347\text{kg}\end{array}$

Round off the decimal point, that is $0.35\text{kg}$ .

(b)

Interpretation Introduction

Interpretation: The conversion of $73\text{ mg}$ into a Kilogram is to be calculated.

Concept Introduction:

While performing numerical, it is important to have uniform S.I units for better calculation; therefore, understanding the conversions of these units is crucial.

Answer to Problem 107A

The $73\text{ mg}$ into kilogram is $7.3\times {10}^{-5}\text{kg}$ .

Explanation of Solution

One milligram is $\frac{1}{1000000}\text{kg}$ .

Convert $\text{mg}$ (milligrams) to $\text{kg}$ (kilograms).

  $\begin{array}{c}73\text{ mg}=73\text{ mg}\times \frac{1\text{kg}}{1000000\text{g}}\\ =7.3\times {10}^{-5}\text{kg}\end{array}$

(c)

Interpretation Introduction

Interpretation: The conversion of $9.43\text{ mg}$ into a Kilogram is to be calculated.

Concept Introduction:

While performing numerical, it is important to have uniform S.I units for better calculation; therefore, understanding the conversions of these units is crucial.

Answer to Problem 107A

The $9.43\text{ mg}$ into kilogram is $9.43\times {10}^{-6}\text{kg}$ .

Explanation of Solution

One milligram is $\frac{1}{1000000}\text{kg}$ .

Convert $\text{mg}$ (milligrams) to $\text{kg}$ (kilograms).

  $\begin{array}{c}\text{9}\text{.43 mg}=9.43\text{ mg}\times \frac{1\text{kg}}{1000000\text{g}}\\ =9.43\times {10}^{-6}\text{kg}\end{array}$

(d)

Interpretation Introduction

Interpretation: The conversion of $877\text{ mg}$ into a Kilogram is to be calculated.

Concept Introduction:

While performing numerical, it is important to have uniform S.I units for better calculation; therefore, understanding the conversions of these units is crucial.

Answer to Problem 107A

The $877\text{ mg}$ into kilogram is $8.77\times {10}^{-7}\text{kg}$ .

Explanation of Solution

One milligram is $\frac{1}{1000000}\text{kg}$ .

Convert $\text{mg}$ (milligrams) to $\text{kg}$ (kilograms).

  $\begin{array}{c}\text{877 mg}=877\text{ mg}\times \frac{1\text{kg}}{1000000\text{g}}\\ =8.77\times {10}^{-7}\text{kg}\end{array}$