error: Content is protected !!

# MATHEMATICS: FORM ONE: Topic 4 - UNITS

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
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: 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 3 Solution Example 4
How many grams are there in 0.0098 kg?
Solution: 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: 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 = 0.001m= 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 10
Convert the following units into Solution   Example 11
Change 35 litres into cm3
Solution: 