Advertisements
Advertisements
प्रश्न
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `151/600`
उत्तर
`15/1600 = 15/(2^6 × 5^2) = (15 × 5^4)/(2^6 × 5^6) = 9375/1000000 = 0.009375`
We know either 2 or 5 is not a factor of 15, so it is in its simplest form.
Moreover, it is in the form of (2m × 5n).
Hence, the given rational is terminating.
APPEARS IN
संबंधित प्रश्न
Using Euclid's division algorithm, find the H.C.F. of 135 and 225
Show that one and only one out of n; n + 2 or n + 4 is divisible by 3, where n is any positive integer.
Use Euclid's Division Algorithm to show that the cube of any positive integer is either of the 9m, 9m + 1 or 9m + 8 for some integer m
Find the HCF of the following pairs of integers and express it as a linear combination of 592 and 252.
A mason has to fit a bathroom with square marble tiles of the largest possible size. The size of the bathroom is 10 ft. by 8 ft. What would be the size in inches of the tile required that has to be cut and how many such tiles are required?
Using Euclid’s algorithm, find the HCF of 504 and 1188 .
The HCF of 95 and 152, is
The smallest number by which \[\sqrt{27}\] should be multiplied so as to get a rational number is
If n is a natural number, then 92n − 42n is always divisible by ______.
Euclid’s division lemma states that for positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy
