Fill in the blanks to make the following statements true:
(i) $(-5)+(-8)=(-8)+(............)$
(ii) $-53+ ............=-53$
(iii) $17+............=0$
(iv) $[13+(-12)]+(............)=13+[(-12)+(-7)]$
(v) $(-4)+[15+(-3)]=[-4+15]+............$

To do:

We have to fill in the blanks to make the given statements true.

Solution:

We have to use different laws of addition.

(i) $(-5)+(-8)=(-8)+\boxed{(-5)}$              [Commutative law of addition]

(ii) $-53+\boxed{(0)}=-53$   [Additive Identity]

(iii) $17+\boxed{(-17)}=0$                       [Additive inverse]

(iv) $[13+(-12)]+\boxed{( -7)}=13+[(-12)+(-7)]$  [Associative law of addition]

(v) $(-4)+[15+(-3)]=[(-4)+15]+\boxed{(-3)}$      [Associative law of addition]

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Updated on: 10-Oct-2022

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