Advertisements
Advertisements
प्रश्न
Find after how many places of decimal the decimal form of the number `27/(2^3. 5^4. 3^2)` will terminate.
उत्तर
`27/(2^3. 5^4. 3^2) = 3/(2^3 . 5^4) = (3xx2)/(2^4 xx 5^4) = (3xx2)/(2xx5)^4 = 6/10^4 = 0.0006`
Therefore, after 4 place of decimal the decimal form of given number will terminate.
APPEARS IN
संबंधित प्रश्न
State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:
`13/3125`
Write the decimal expansion of `73/ ((2^4×5^3))`
Express 0.`bar(4)` as a rational number simplest form.
Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.
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.\[\frac{7}{80}\]
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.\[\frac{14588}{625}\]
Write the condition to be satisfied by q so that a rational number\[\frac{p}{q}\]has a terminating decimal expansion.
Write down the decimal expansion of the following number which have terminating decimal expansion.
`29/343`
Write down the decimal expansion of the following number which have terminating decimal expansion.
`23/(2^3xx5^2)`
A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form `p/q`? Given reasons.