Advertisements
Advertisements
प्रश्न
State Euclid's division lemma.
उत्तर
Euclid’s Division Lemma:
Let a and b be any two positive integers.
Then, there exist unique integers q and r such that
`a=bq+r, 0 ≤ r < b`
If `b|a` then `r=0`.
Otherwise, r satisfies the stronger inequality`0 < r<b.`
APPEARS IN
संबंधित प्रश्न
State whether the given statement is true or false:
1 . The product of two rationals is always rational
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{14588}{625}\]
Has the rational number \[\frac{441}{2^2 \times 5^7 \times 7^2}\] a terminating or a nonterminating decimal representation?
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`23/(2^3xx5^2)`
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`129/(2^2xx5^7xx7^5)`
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`6/15`
Write down the decimal expansion of the following number which have terminating decimal expansion.
`29/343`
Find a rational number between `sqrt(2) "and" sqrt(7)`.
Prime factors of the denominator of a rational number with the decimal expansion 44.123 are ______.
The following real number have decimal expansions as given below. In the following case, decide whether it is rational or not. If it is rational, and of the form p/q what can you say about the prime factors of q?
0.120120012000120000. . .
