Advertisements
Advertisements
प्रश्न
Write the decimal expansion of `73/ ((2^4×5^3))`
उत्तर
Decimal expansion:
`73/( (2^4×5^3)) = (73 ×5)/( 2^4 × 5^4)`
= `365 /((2×5)^4)`
= `365 /((10)^4)`
= `365 /10000`
= 0.0365
Thus, the decimal expansion of `73 /((2^4×5^3))` is 0.0365.
APPEARS IN
संबंधित प्रश्न
Show that `sqrt (2)/3 `is irrational.
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.
What can you say about the prime factorisations of the denominators of the following rationals: \[27 . \bar{{142857}}\]
Complete the missing entries in the following factor tree.
The decimal expansion of the rational number \[\frac{43}{2^4 \times 5^3}\] will terminate after how many places of decimals?
What is an algorithm?
What is the total number of factors of a prime number?
Write down the decimal expansion of the following number which have terminating decimal expansion.
`129/(2^2xx5^7xx7^5)`
Write down the decimal expansion of the following number which have terminating decimal expansion.
`6/15`
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. . .