(i) –1 and 0
= \(\frac{-1}{10},\frac{-1}{20},\frac{-1}{30},\frac{-1}{40},\frac{-1}{50}\)
(ii) –2 and –1
\(= -2 = \frac{-12}{6} \space and\)
\(= -1 = \frac{-6}{6}\)
Five rational numbers are
= \(\frac{-11}{6},\frac{-10}{6},\frac{-9}{6},\frac{-8}{6},\frac{-7}{6}\)
(iii)\(\frac{-4}{5}\space and \frac{-2}{3}\)
= \(\frac{-4}{5}\)
= \(\frac{-4\times9}{5\times9}\)
= \(\frac{-36}{45}\space and\)
= \(\frac{-2}{3}= \frac{-2\times15}{3\times15}\)
= \(\frac{-30}{45}\)
Five rational numbers are
= \(\frac{-35}{45},\frac{-34}{45},\frac{-33}{45},\frac{-32}{45},\frac{-31}{45}\)
(iv) \(\frac{-1}{2} \space and \frac{2}{3}\)
= \(\frac{1}{2}=\frac{1\times18}{2\times18}\)
= \(\frac{18}{36}\) and
\(\frac{2}{3}=\frac{2\times12}{3\times12}\)
= \(\frac{24}{36}\)
Five rational numbers are
= \(\frac{19}{36},\frac{20}{36},\frac{21}{36},\frac{22}{36},\frac{23}{36}\)
Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30