Q2 of 54 Page 12

Without performing division, state whether the following rational numbers will have a terminating decimal form or non-terminating, repeating decimal form.


⇒ 11 and 30 are co-prime.


Now, We have to write the denominator 30 in the form of 2n5m where, n and m are the non-negative numbers.



30 = 2×3×5


∴ denominator is not of the form 2n5m where, n = 1 and m = 1. Due to one more factor it is not in the form


Thus, is Non-terminating and repeating decimal.


More from this chapter

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2

Without performing division, state whether the following rational numbers will have a terminating decimal form or non-terminating, repeating decimal form.

 2

Without performing division, state whether the following rational numbers will have a terminating decimal form or non-terminating, repeating decimal form.

 3

Write the following rationales in decimal form using Theorem 1.1.

(i)


(ii)


(iii)


(iv)


(v)

4

The decimal form of some real numbers is given below. In each case, decide whether the number is rational or not. If it is rational, and expressed in form what can you say about the prime factors of q?

(i) 43.123456789


(ii) 0.120120012000120000….


(iii) 43.