Advertisements
Advertisements
प्रश्न
Express each of the following as a rational number in its simplest form:
(i`) 0.bar (8)`
उत्तर
Let x = `bar(0.8)`
∴ x = 0.888 …(1)
10x = 8.888 …(2)
On subtracting equation (1) from (2), we get
9x = 8 ⇒ x =` 8/9`
∴0.8 =`bar(8)/9`
APPEARS IN
संबंधित प्रश्न
Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.
Prove that the square of any positive integer is of the form 5q, 5q + 1, 5q + 4 for some integer q.
Define HOE of two positive integers and find the HCF of the following pair of numbers:
100 and 190
If the HCF of 408 and 1032 is expressible in the form 1032 m − 408 × 5, find m.
What is the largest number that divides 626, 3127 and 15628 and leaves remainders of 1, 2 and 3 respectively.
Prove that \[4 - 5\sqrt{2}\] is an irrational number.
If HCF of 65 and 117 is expressible in the form 65n − 117, then find the value of n.
When the positive integers a, b and c are divided by 13, the respective remainders are 9, 7 and 10. Show that a + b + c is divisible by 13
The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is ______.
Show that the square of any odd integer is of the form 4q + 1, for some integer q.
