Advertisements
Advertisements
Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i)`77/210`
Solution
`77/210 =( 77 ÷7)/(210 ÷7) = 11/30 = 11/(2 ×3 ×5)`
We know 2, 3 or 5 is not a factor of 11, so `11/30` is in its simplest form.
Moreover, (2 × 3 × 7) ≠ (2m × 5n)
Hence, the given rational is non-terminating repeating decimal.
APPEARS IN
RELATED QUESTIONS
Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
Using prime factorization, find the HCF and LCM of 30, 72, 432 .
Find the simplest form of `368 /496` .
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `129/(2^2× 5^7 × 7^5)`
Show that the following numbers are irrational.
Prove that \[\sqrt{5} + \sqrt{3}\] is irrational.
For what value of n, 2n ✕ 5n ends in 5.
If HCF (26, 169) = 13, then LCM (26, 169) =
The remainder when the square of any prime number greater than 3 is divided by 6, is
If n is an odd integer, then show that n2 – 1 is divisible by 8.
