Chapter 3

The World of Numbers

CBSE Class 9

Mathematics Solutions

Question:

$\text{Simplify the expression: }\left(-\frac{1}{4}\right)+\left(\frac{5}{12}\right).\text{ \lbrack Page No. 53\rbrack}$

Answer: Verified

$\begin{aligned} \frac{-1}{4} + \frac{5}{12} &= \frac{-3}{12} + \frac{5}{12} \\ &= \frac{2}{12} = \frac{1}{6}. \end{aligned}$

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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]