Question

Find ten rational numbers between -4 and -5.



Find 20 rational numbers between -7/12 and 7/9​

Answer 1

(i) Find ten rational numbers between -4 and -5.

$-\frac{4}{1}$ × $\frac{11}{11}$ = $-\frac{44}{11}$

$-\frac{5}{1}$ × $\frac{11}{11}$ = $-\frac{55}{11}$

Ans = $-\frac{45}{11}, -\frac{46}{11}, -\frac{47}{11}, -\frac{48}{11}, -\frac{49}{11}, -\frac{50}{11}, -\frac{51}{11}, -\frac{52}{11}, -\frac{53}{11}, -\frac{54}{11}$

(ii) Find 20 rational numbers between -7/12 and 7/9​

$-\frac{7}{12}$ × $\frac{9}{9}$ = $-\frac{63}{108}$

$-\frac{7}{9}$ × $\frac{12}{12}$ = $-\frac{84}{108}$

Ans = $-\frac{64}{108}, -\frac{65}{108}, -\frac{66}{108}, -\frac{67}{108}, -\frac{68}{108}, -\frac{69}{108}, -\frac{70}{108}, -\frac{71}{108}, -\frac{72}{108}, -\frac{73}{108}, -\frac{74}{108}, -\frac{75}{108},$$-\frac{76}{108}, -\frac{77}{108}, -\frac{78}{108}, -\frac{79}{108}, -\frac{80}{108}, -\frac{81}{108}, -\frac{82}{108}, -\frac{83}{108},$