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Question
Observe the number line and answer the questions.
- Which number is indicated by point B?
- Which point indicates the number `1 3/4`?
- State whether the statement ‘the point D denotes the number `5/2`’ is true or false.
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Solution
Here, each unit is divided into 4 parts.
∴ the denominator will be 4.
(1) Point B is on the 10th equal part on the left side of point O.
∴ B is `(-10)/4`.
(2) `1 3/4 = (4 xx 1 + 3)/4 = (4 + 3)/4 = 7/4`
Here, Point C is marked on the 7th equal part on the right side of point O.
∴ Point C indicates `1 3/4`.
(3) `5/2 = (5 xx 2)/(2 xx 2) = 10/4` True
Point D is marked on the 10th equal part on the right side of O.
∴ D denotes the number `10/4 = 5/2`
RELATED QUESTIONS
Write five rational numbers which are smaller than 2.
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`(-5)/8 , 11/8`
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The rational numbers can be represented on the number line.
The rational numbers `1/2` and `- 5/2` are on the opposite sides of 0 on the number line.
On a number line, `(-1)/2` is to the ______ of zero (0).
The rational numbers `(-12)/(-5)` and `(-7)/17` are on the opposite sides of zero on the number line.
Represent the following rational numbers on a number line:
`3/8, (-7)/3, 22/(-6)`
Find a rational number exactly halfway between:
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