   # Perform the following conversions between the metric and English systems: 4.92 in. to mm 8779 yd to km 87 ft to m 3.8 in to cm ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 28E
Textbook Problem
79 views

## Perform the following conversions between the metric and English systems:4.92 in. to mm8779 yd to km87 ft to m3.8 in to cm

Interpretation Introduction

Interpretation:

The given conversion between English and metric systems are to be performed.

Concept Introduction:

 Dimensional analysis is useful in the conversion of one unit to another.

 To convert a quantity au1 from one unit to another, that is, u1u2, first write a conversion factor, u2u1, then multiply the conversion factor with the given quantity au1 and cancel the units to get the quantity in the desired unit.

au1×u2u1=au2

### Explanation of Solution

a) 4.92 in. to mm

To convert inches to mm, first write the correct conversion factor by using the following relationship:

1 in.=25.4 mm

Thus, the conversion factor is (25.4 mm1 in.).

Multiply the conversion factor with the given quantity and then, cancel the units to get the desired quantity.

Hence,

4.92 in.×25.4 mmin.=124.96 mm

As the given values are in three significant figures, the final answer should also be in three significant figures. Therefore, the final answer is 125 mm.

b) 8779 yd to km

To convert yd to km, first write the correct conversion factors by using the following relationships.

1 mi=1760 yd1 km=0.6214 mi

Thus, the conversion factors are (1 mi1760 yd)and(1 km0.6214 mi).

Multiply the conversion factors with the given quantity and then, cancel the units to get the desired quantity.

Hence,

8779 yd×1mi1760yd×1 km0.6214mi=8.027 km

As the given values are in four significant figures, the final answer should also be in four significant figures. Therefore, the final answer is 8.027 km.

c) 87 ft to m

To convert ft to m, first write the correct conversion factors by using the following relationships

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