Question

Mark each pair of numbers given below on the number line and check whether the distance between them is equal to the number got by subtracting the smaller from the larger:

(i) 1, −5

(ii) −3, −4

(iii) −1, 1

(iv) 0, 4

(v) 0, −4

(vi)

Answer 1

(i)

1, −5 can be represented on the number line as follows:

Distance between −5 and 1 = 6 units

Required difference = 1 − (−5) = 1 + 5 = 6

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.

(ii)

−3, −4 can be represented on the number line as follows:

Distance between −4 and −3 = 1 unit

Required difference = −3 − (−4) = −3 + 4 = 1

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.

(iii)

−1, 1 can be represented on the number line as follows:

Distance between −1 and 1 = 2 units

Required difference = 1 − (−1) = 1 + 1 = 2

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.

(iv)

0, 4 can be represented on the number line as follows:

Distance between 0 and 4 = 4 units

Required difference = 4 − 0 = 4

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.

(v)

0, −4 can be represented on the number line as follows:

Distance between −4 and 0 = 4 units

Required difference = 0 − (−4) = 0 + 4 = 4

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.

(vi)

can be represented on number line as follows:

Distance between

Required difference =

Yes, the distance between the given numbers is equal to the number got by subtracting the smaller number from the larger number.