Chapter 6, Problem 93A

Interpretation Introduction

(a)

Interpretation:

1.1 cm is to be converted into meters.

Concept introduction:

Distance or dimensions are measured in units like cm, m etc.

Answer to Problem 93A

1.1 cm = 0.011 m

Explanation of Solution

Meter is a bigger unit than centimeter.

1 meter = 100 cm

Thus the conversion of 1.1 cm to meters is as follows:

$\text{1}\text{.1 }\cancel{\text{cm}}\text{×}\frac{\text{1m}}{\text{100}\cancel{\text{cm}}}\text{=}\text{0}\text{.011}\text{m}$

Thus 1.1 cm = 0.011 m

(b)

Interpretation Introduction

Interpretation:

76.2 pm is to be converted into millimeters.

Concept introduction:

Distance or dimensions are measured in cm or m units. The other unit of distance are pm, mm, nm etc.

Answer to Problem 93A

$\text{76}\text{.2}\text{pm}=7.62\times {10}^{-8}\text{mm}$

Explanation of Solution

Millimeter (mm) is a bigger unit than picometer (pm).

$\text{1 mm}{\text{= 10}}^{\text{9}}\text{pm}$

$\text{76}\text{.2}\cancel{\text{pm}}\text{×}\frac{\text{1}\text{mm}}{{\text{10}}^{\text{9}}\cancel{\text{pm}}}=7.62\times {10}^{-8}\text{mm}$

Thus, $\text{76}\text{.2}\text{pm}=7.62\times {10}^{-8}\text{mm}$

(c)

Interpretation Introduction

Interpretation:

11mg is to be converted into kilograms.

Concept introduction:

Mass is a substance or amount of matter which makes an objects. The unit of mass is kilograms. With changes with gravity weight also change but mass is always same.

Answer to Problem 93A

$\text{11}\text{mg}=1.1\times {10}^{-5}\text{kg}$.

Explanation of Solution

Kilogram (kg) is a bigger unit than milligram (mg).

$\text{1}\text{kg}\text{=}{\text{10}}^{\text{6}}\text{mg}$

$\text{11}\cancel{\text{mg}}\text{×}\frac{\text{1}\text{kg}}{\text{106}\cancel{\text{mg}}}=1.1\times {10}^{-5}\text{kg}$

Thus, $\text{11}\text{mg}=1.1\times {10}^{-5}\text{kg}$.

(d)

Interpretation Introduction

Interpretation:

$\text{7}\text{.23μg}$ is to be converted into kilograms.

Concept introduction:

Mass is a substance or amount of matter which makes an objects. The unit of mass is kilograms. With changes with gravity weight also change but mass is always same.

Answer to Problem 93A

$\text{7}\text{.23μg}=7.23\times {10}^{-8}\text{kg}$.

Explanation of Solution

Kilogram (kg) is a bigger unit than microgram $\left(\text{μ}\right)$.

$\text{1 kg}\text{=}{10}^9\text{μg}$

$\text{7}\text{.23}\cancel{\text{μg}}\text{×}\frac{\text{1kg}}{{\text{10}}^{\text{9}}\cancel{\text{μg}}}=7.23\times {10}^{-8}\text{kg}$

Thus, $\text{7}\text{.23μg}=7.23\times {10}^{-8}\text{kg}$.