Q40 of 56 Page 17

Find the prime factorization of the denominator of a rational number expressed as in simplest form.

Let

⇒ x = 6.121212121212 …… eq 1


Multiply both sides by 100


⇒ 100 x = 612.12121212121 …… eq 1


But, 100x = 606 + 6.12121212… (breaking 612 as 606 and 6)


⇒ 100x = 606 + x


⇒ 100x – x = 60


⇒ 99x = 606





More from this chapter

All 56 →
38

Represent √10.5 on the number line?

 39

Prove that is an irrational number.

 41

Write three irrational numbers between 2/5 and 3/4.

 42

Check whether 14 n can end with the digit zero for any natural number