हिंदी

​What Can You Say About the Prime Factorisations of the Denominators of the Following Rationals: 27 . ¯ 142857 - Mathematics

Advertisements
Advertisements

प्रश्न

​What can you say about the prime factorisations of the denominators of the following rationals: \[27 . \bar{{142857}}\]

संख्यात्मक

उत्तर

Since \[27 . \bar{{142857}}\] has non-terminating decimal expansion.
So, its denominator has factors other than 2 or 5.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Real Numbers - Exercise 1.6 [पृष्ठ ५७]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 1 Real Numbers
Exercise 1.6 | Q 4.3 | पृष्ठ ५७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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?

43.123456789


Classify the numbers `3. bar(142857)` as rational or irrational  :

 


If the rational number `a/b`has a terminating decimal expansion, what is the condition to be satisfied by b?


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.

\[\frac{23}{8}\]

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.

\[\frac{35}{50}\]

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.

\[\frac{129}{2^2 \times 5^7 \times 7^{17}}\]

If p and q are two prime number, then what is their HCF?


State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

`15/1600`


m2 – 1 is divisible by 8, if m is ______.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×