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    Mathematics

    MATHEMATICS: FORM ONE: Topic 4 – UNITS

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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

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    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 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:

    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 (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 10
    Convert the following units into
    Solution
    Example 11
    Change 35 litres into cm3
    Solution:
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