Page 14 - Mathematics

Fractions, integers, whole numbers, terminating and non-terminating decimals
form the set of rational numbers. For instance,

34 20 4 5 1 1 4 9 100 30


− , − , 3,− − , − , , , , , , 0, , 0.45, 0.3, 0.23, and
3 3 7 6 2 3 4 5 5 1

1.567 are rational numbers.

Representation of rational numbers on a number line
Rational numbers can be represented on a number line. Positive rational numbers
are represented on the right of zero (the origin) and the negative rational numbers
on the left of the origin. The number line helps us to determine other rational
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numbers between any two rational numbers by increasing the number of divisions.
Activity 2.2 enables you to locate numbers on a number line.

Activity 2.2: Locating numbers on a number line

1. Prepare a number line (2 to 3 metres long) using sticks and masking tapes
or any other materials of your choice.
2. Cut manila cards in small sizes and write on them different types of
numbers such as whole, integers, and fractions.
3. Give the cards to others to post each of the numbers on appropriate position
on the number line.
4. While sticking the cards, explain to others why you think the positions
are appropriate.

a
The representation of any positive rational number is done by dividing the unit
b
interval into ‘b’ equal parts. The ‘a’ of these parts are taken along the number line
a
to reach the point corresponding to on the right of zero if the number is positive
b
and to the left of zero if the number is negative.
Mathematics Form One Example 2.1

1
Represent on a number line.
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Mathematics form 1.indd 8