Advertisements
Advertisements
Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i)`64/455`
Solution
`64/455 = 64 /(5 ×7 ×13)`
We know 5, 7 or 13 is not a factor of 64, so it is in its simplest form.
Moreover, (5 × 7 × 13) ≠ (2m × 5n)
Hence, the given rational is non-terminating repeating decimal.
APPEARS IN
RELATED QUESTIONS
Using Euclid's division algorithm, find the H.C.F. of (iii) 867 and 255
Define HOE of two positive integers and find the HCF of the following pair of numbers:
56 and 88
Using prime factorization, find the HCF and LCM of 96, 404 In case verify that HCF × LCM = product of given numbers.
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `151/600`
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i)`77/210`
The product of two numbers is 1050 and their HCF is 25. Find their LCM.
Express each of the following integers as a product of its prime factors:
468
The smallest number by which \[\sqrt{27}\] should be multiplied so as to get a rational number is
The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is ______.
A positive integer is of the form 3q + 1, q being a natural number. Can you write its square in any form other than 3m + 1, i.e., 3m or 3m + 2 for some integer m? Justify your answer.
