Advertisements
Advertisements
प्रश्न
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `23/(2^3 × 5^2)`
उत्तर
`23/(2^3 × 5^2) = (23 × 5)/(2^3 × 5^3) = 115/1000 = 0.115`
We know either 2 or 5 is not a factor of 23, 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
Use Euclid's Division Algorithm to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.
Find the HCF of the following pairs of integers and express it as a linear combination of 506 and 1155.
What do you mean by Euclid’s division algorithm?
Using Euclid’s algorithm, find the HCF of 504 and 1188 .
Without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form.
(i) `19/3125`
Show that the following numbers are irrational.
Prove that following numbers are irrationals:
The smallest number by which \[\sqrt{27}\] should be multiplied so as to get a rational number is
Find all positive integers, when divided by 3 leaves remainder 2
Show that the square of any positive integer cannot be of the form 6m + 2 or 6m + 5 for any integer m.
