10 rational numbers between -5/6 and 5/8

multiplicative inverse of -6/65 , 0, -12, 1/4

-5/8 on the number line

additive inverse of -21/112, 4/1, 0

find (-4/5) * 3/7 * 15/16 * (-14/9)

compute 4/16 * 4/12 + 9/16 * -2/9

Question

10 rational numbers between -5/6 and 5/8
multiplicative inverse of -6/65 , 0, -12, 1/4
-5/8 on the number line
additive inverse of -21/112, 4/1, 0
find (-4/5) * 3/7 * 15/16 * (-14/9)
compute 4/16 * 4/12 + 9/16 * -2/9

Koka Sri Lakshmi Divya Sai · Accepted Answer

$(i) Given \frac{- 5}{6} and \frac{5}{8} take LCM we get 48 \Rightarrow \frac{- 5}{6} = \frac{- 5 \times 8}{6 \times 8} = \frac{- 40}{48} \Rightarrow \frac{5}{8} = \frac{5 \times 6}{8 \times 6} = \frac{30}{48} ∴ Ten rational numbers between \frac{- 5}{6} and \frac{5}{8} are \frac{- 39}{48}, \frac{- 38}{48}, \frac{- 37}{48}, \frac{- 36}{48} \frac{- 35}{48} \frac{- 34}{48}, \frac{- 33}{48}, \frac{- 32}{48}, \frac{- 31}{48}, \frac{- 30}{48} (i i) Multiplicative invserse of \frac{- 6}{65} is \frac{- 65}{6} No Multiplicative invserse for 0 Multiplicative invserse for -12 is \frac{- 1}{12} Multiplicative invserse for \frac{1}{4} is 4 (i i i)$

$(i v) Additive inverse of \frac{- 21}{112} is \frac{21}{112} Additive inverse of \frac{4}{1} is \frac{- 4}{1} Additive inverse of 0 is 0 (v) \frac{- 4}{5} \times \frac{3}{7} \times \frac{15}{16} \times \frac{- 14}{9} by simplifying weget \Rightarrow \frac{1}{2} (v i) \frac{4}{16} \times \frac{4}{12} + \frac{9}{16} \times \frac{- 2}{9} \Rightarrow \frac{1}{12} - \frac{1}{8} \Rightarrow \frac{- 4}{96} \Rightarrow \frac{- 1}{24}$

10 rational numbers between -5/6 and 5/8 multiplicative inverse of -6/65 , 0, -12, 1/4 -5/8 on the number line additive inverse of -21/112, 4/1, 0 find (-4/5) * 3/7 * 15/16 * (-14/9) compute 4/16 * 4/12 + 9/16 * -2/9

10 rational numbers between -5/6 and 5/8

multiplicative inverse of -6/65 , 0, -12, 1/4

-5/8 on the number line

additive inverse of -21/112, 4/1, 0

find (-4/5) * 3/7 * 15/16 * (-14/9)

compute 4/16 * 4/12 + 9/16 * -2/9