Advertisements
Advertisements
Question
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `151/600`
Solution
`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
RELATED QUESTIONS
Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively.
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?
Two brands of chocolates are available in packs of 24 and 15 respectively. If I need to buy an equal number of chocolates of both kinds, what is the least number of boxes of each kind I would need to buy?
Using prime factorization, find the HCF and LCM of 36, 84 In case verify that HCF × LCM = product of given numbers.
Using prime factorization, find the HCF and LCM of 21, 28, 36, 45 .
The LCM of two numbers is 1200, show that the HCF of these numbers cannot be 500. Why ?
Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.
Show that \[3 + \sqrt{2}\] is an irrational number.
If n is a natural number, then 92n − 42n is always divisible by ______.
Prove that if x and y are both odd positive integers, then x2 + y2 is even but not divisible by 4.
