मराठी

Without Actually Performing the Long Division,77 210 - Mathematics

Advertisements
Advertisements

प्रश्न

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.

\[\frac{77}{210}\]
संख्यात्मक

उत्तर

 The given number is \[\frac{77}{210}\] and HCF(77, 210) = 7.

∴ \[\frac{77}{210} = \frac{77 \div 7}{210 \div 7} = \frac{11}{30}\]

Here, 

\[\frac{11}{30}\] is in its simplest form.
Now, 
\[30 = 2 \times 3 \times 5\]  is not of the form
\[2^m \times 5^n\]
So, the given number has a non-terminating repeating decimal expansion.
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Real Numbers - Exercise 1.6 [पृष्ठ ५६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
पाठ 1 Real Numbers
Exercise 1.6 | Q 1.4 | पृष्ठ ५६

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×