FORM ONE MATHEMATICS TOPIC 4: UNITS

 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

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 tonneto other units is done converting it to kilogramfirst and then fromkilogramto the required unit.

1 tonne = 1000kg

Computation on Metric Units of Mass

Perform computation on metric units of mass

Example 2

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 3

Convert

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 21 - hour has 24 hours in a day.Times in the morning are the same in both systems.For times in the afternoon, convert by adding or subtracting 12 hours

Example 4

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

Example 5

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

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 (m3)

Capacity is related to the volume as follows:

1 litre = 1000cm3 = 0.001m3 = 1dm3

Also 1 ml = 1 cm3

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 6

Convert the following units into

Solution