Question

Q18. Show that following numbers are rational numbers.
(i) 4.72734
(ii) 73.02048
with explanation​

Answer 1

The numbers (i) 4.72734 and (ii) 73.02048 are rational.

Given:

(i) 4.72734

(ii) 73.02048

To find:

Show that the following numbers are rational numbers.

Solution:

To check whether the numbers are rational or irrational, write them in the form of p/q where q ≠ 0  

(i) 4.72734

To express the number as a faction,

Multiply and divide by the number '100000'  

=> 4.72734 × 100000/100000 = 472734/100000

Since the number 4.72734 can be expressed as a fraction

The number 4.72734 is a rational number

(ii) 73.02048:

Similarly, 73.02048 can be expressed as a fraction by multiplying and dividing by 100000

73.02048 = 7302048/100000

Since 73.02048 can be expressed fraction

The number 73.02048 is a rational number.

Therefore,

The numbers (i) 4.72734 and (ii) 73.02048 are rational.

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