Advertisements
Advertisements
प्रश्न
Express each of the following as a rational number in its simplest form:
(i) `0. bar (12)`
उत्तर
Let x =` 0. bar (12)`
∴ x = 0.1212 …(1)
100x = 12.1212 …(2)
On subtracting equation (1) from (2), we get
99x = 12 ⇒ x = `4/33`
∴0.12 = `bar (4)/33`
APPEARS IN
संबंधित प्रश्न
Find the largest number which divides 615 and 963 leaving remainder 6 in each case.
Using Euclid’s algorithm, find the HCF of 405 and 2520 .
Show that every positive even integer is of the form 4m and that every positive odd integer is of the form 4m + 1 for some integer m.
Express each of the following integers as a product of its prime factors:
468
Show that the following numbers are irrational.
If p, q are prime positive integers, prove that \[\sqrt{p} + \sqrt{q}\] is an irrational number.
If a and b are relatively prime numbers, then what is their LCM?
If HCF (26, 169) = 13, then LCM (26, 169) =
Prove that two consecutive positive integers are always co-prime
Show that the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m.
