Chapter 3
The World of Numbers
CBSE Class 9
Mathematics Solutions
Educart Mathematics class Class 9 NCERT Exemplar cover
Question:

Find the difference:

(A) 56−14\frac{5}{6} - \frac{1}{4}

(B) 118−34\frac{11}{8} - \frac{3}{4}

(C) −79−(−23)\frac{-7}{9} - \left(\frac{-2}{3}\right) [Page No. 49]

Answer: Verified

11. (A) 56−14:1012−312=71211. \text{ (A) } \frac{5}{6} - \frac{1}{4}: \frac{10}{12} - \frac{3}{12} = \frac{7}{12}

(B)118−34:118−68=58(B) \frac{11}{8} - \frac{3}{4}: \frac{11}{8} - \frac{6}{8} = \frac{5}{8}

(C)−79−(−23):−79+23=−79+69=−19\begin{aligned} (C) \frac{-7}{9} - \left(\frac{-2}{3}\right): \frac{-7}{9} + \frac{2}{3} \\ &= \frac{-7}{9} + \frac{6}{9} = \frac{-1}{9} \end{aligned}

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More NCERT Questions
Try to extend this method for constructing line segments of lengths sqrt(3) and sqrt(5) using a ruler and a compass. Generalise this method to construct a line segment of any length of the form sqrt(n Consider this puzzle: What is the square root of -1? We know that 1 × 1 = 1. We also know that (-1) × (-1) = 1. There is no real number that, when multiplied by itself, results in a negative number. T The decimal expansion of p/q will be terminating precisely when the prime factors of q are only 2, only 5, or both 2 and 5. Can you explain why? [Page No. 58] Try to find the decimal expansions of 10/3 and 11/12. What do you observe about the repetition of the digits after the decimal point? [Page No. 57]