# BASIC MATHEMATICS FORM ONE-Topic 4: UNITS

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1702 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 AnotherConvert one unit of length to anotherThe conversion of one unit to another is done by considering the arrangement below

Example, from the above we get

Test YourselfComputations on Metric Units of LengthPerform computations on metric units of lengthExample 1Convert

Solution

Example 2Three 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 AnotherConvert one unit of mass to anotherThe 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 Test YourselfComputation on Metric Units of MassPerform computation on metric units of massExample 3

Solution

Example 4How 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 anotherConvert one unit of time to anotherThe conversion of units of time to another can be done by considering the arrangement below

Example, from the circle above

Also

Example 5Convert

Solution

Example 6How many hours are there in 5 days?Solution:

Test YourselfConvertion of Unit Time of 12 Hour Clock to 24 Hour Clock and Vice VersaRead and convert unit time of 12 hour clock to 24 hour clock and vice versaThe 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 7Convert the following times from the 12 – hour clock to 24 – hour clock.

Example 8Convert the following times from the 24 – hour clock to 12 – hour clock.

Example 9Change 25 minutes past 10 in the evening using; (a) 12-hour clock (b) 24- hour clock.Solution:

Units of Capacity

Standard Unit of Measuring CapacityState the standard unit of measuring capacityCapacity 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= 1dm3Also 1 ml = 1 cm3Other 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

Test YourselfThe Litre in Daily LifeUse the litre in daily lifeExample 10Convert the following units into

Solution

Example 11Change 35 litres into cm3Solution: