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**TOPIC 4: UNITS**

A unit – is defined as a symbol or sign which is assigned to a number to describe a kind of measurement made

**Units of Length**

Convertion of One Unit of Length to Another

Convert one unit of length to another

The conversion of one unit to another is done by considering the arrangement below

Example, from the above we get

Computations on Metric Units of Length

Perform computations on metric units of length

Example 1

Convert

**Solution**

Example 2

Three pieces of a string measures 90 dam, 400 m and 25000 cm. Find their total length.

Solution:

**Unit of Mass**

Convertion of One Unit of Mass to Another

Convert one unit of mass to another

The conversion of one unit to another is done by considering the arrangement below

Example, from the above

The conversion of

*tonne*to other units is done converting it to*kilogram*first and then from*kilogram*to the required unit.*1 tonne = 1000kg*

Computation on Metric Units of Mass

Perform computation on metric units of mass

Example 3

**Solution**

Example 4

How many grams are there in 0.0098 kg?

Solution:

**Units of Time**

The units of time are of two types, smaller and larger units of time. Smaller units of time includes seconds, minutes, hours and days. Larger units of time includes week, month, year, decade, century,millennium.

Convertion of One Unit of Time to another

Convert one unit of time to another

The conversion of units of time to another can be done by considering the arrangement below

Example, from the circle above

Also

Example 5

Convert

**Solution**

Example 6

How many hours are there in 5 days?

Solution:

Convertion of Unit Time of 12 Hour Clock to 24 Hour Clock and Vice Versa

Read and convert unit time of 12 hour clock to 24 hour clock and vice versa

The hours can exist in two systems:

*12- hour clock and 24 - hour clock.*
A 12-

*hour clock*has 12 hours between midnight and midday*(a.m)*and 12 hours between midday and midnight*(p.m).*
A day starts at mid night and ends after 24 hours.Times in the morning are the same in both systems. For times in the afternoon, convert by adding or subtracting 12 hours.

Example 7

Convert the following times from the 12 - hour clock to 24 - hour clock.

Example 8

Convert the following times from the 24 - hour clock to 12 - hour clock.

Example 9

Change 25 minutes past 10 in the evening using; (a) 12-hour clock (b) 24- hour clock.

Solution:

**Units of Capacity**

Standard Unit of Measuring Capacity

State the standard unit of measuring capacity

Capacity is related to the volume.

Definitions:

- Capacity-is defined as the ability hold or contain something
- The S.I unit of capacity is
*litre.* - Volume –is defined as the amount of space occupied by a substance
- The S.I unit of volume is
*cubic metres (m*^{3})

Capacity is related to the volume as follows:

*1 litre = 1000cm*

^{3}= 0.001m^{3 }= 1dm^{3}
Also

*1 ml = 1 cm*^{3}
Other units related to litre are kiloliter (kl), hectoliter (hl), decalitre (dal), litre (l), deciliter (dl), centiliter (cl) and mililitre (ml).

The conversion of one unit to another is done by considering the arrangement below

Example, from the above

The Litre in Daily Life

Use the litre in daily life

Example 10

Convert the following units into

**Solution**

Example 11

Change 35 litres into cm

^{3}
Solution:

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