Chapter 3

The World of Numbers

CBSE Class 9

Mathematics Solutions

Question:

Find 5 rational numbers between $\frac{2}{5}$ and $\frac{3}{5}$ .

Answer: Verified

Enlarge denominators: $\frac{2}{5} = \frac{20}{50}$ and $\frac{3}{5} = \frac{30}{50}$ .

Five rationals: $\frac{21}{50}, \frac{22}{50}, \frac{23}{50}, \frac{24}{50}, \frac{25}{50}$ .

Download Free PDF

(All Q's of this Chapter solved)

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]