Question

Observe the number line and answer the questions.

1. Which number is indicated by point B? 
2. Which point indicates the number `1 3/4`?
3. State whether the statement ‘the point D denotes the number `5/2`’ is true or false. 

Answer 1

Here, each unit is divided into 4 parts.

∴ the denominator will be 4.

(1) Point B is on the 10^th 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 7^th 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 10^th equal part on the right side of O.

∴ D denotes the number `10/4 = 5/2`