Advertisements
Advertisements
Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `32/147`
Solution
`32/147 = 32/(3 ×7^2)`
We know either 3 or 7 is not a factor of 32, so it is in its simplest form.
Moreover, (3 × 72) ≠ (2m × 5n)
Hence, the given rational is non-terminating repeating decimal.
APPEARS IN
RELATED QUESTIONS
Prove that the square of any positive integer is of the form 3m or, 3m + 1 but not of the form 3m +2.
Using prime factorization, find the HCF and LCM of 396, 1080 In case verify that HCF × LCM = product of given numbers.
Find the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively.
Find the smallest number which when divides 28 and 32, leaving remainders 8 and 12 respectively.
Find the least number of square tiles required to pave the ceiling of a room 15m 17cm long and 9m 2cm broad.
Express each of the following as a rational number in its simplest form:
(i) `2. bar (24)`
If p and q are co-prime numbers, then p2 and q2 are
If n is any natural number, then 6n − 5n always ends with
Find the largest number which on dividing 1251, 9377 and 15628 leave remainders 1, 2 and 3 respectively.
If sum of two numbers is 1215 and their HCF is 81, then the possible number of pairs of such numbers are ______.
