Find the value of:
(i) (−4)÷23
(ii) −35÷2
(iii) −45÷−3
(iv) −18÷34
(v) −213÷17
(vi) −712÷−213
(vii) 313÷−465
Recall the following properties of divisin of the fractions.
a÷bc=a×cb ---(1)
ab÷c=ab×1c----(2)
ab÷cd=ab×dc ----(3)
Now, lets evaluate given simplifications,
(i)
(−4)÷23
=−4×32
=−2×3
=−6
∴(−4)÷23=−6
(ii)
−35÷2
=−35×12
=−3×15×2
=−310
∴−35÷2=−310
(iii)
−45÷−3
=−45×1−3
=415
−45÷−3=415
(iv)
−18÷34
=−18×43
=−12×13
=−1×12×3
=−16
∴−18÷34=−16
(v)
−213÷17
=−213×71
=−2×713×1
=−1413
=−1113
∴−213÷17=−1113
(vi)
−712÷−213
=−712×13−2
=−7×1312×−2
=9124
=31924
∴−712÷−213=31924
(vii)
313÷−465
=313×65−4
=31×5−4
=−154
=−334
∴313÷−465=−334