Name the properties used in the following:
a) $191+13 = 13+191$
b) $90+0 = 90$
c) $(78+1)+11 = 78+(1+11)$
d) $(121\times4)\times80 = 121\times(4\times80)$
e) $12\times(10+85) = 12\times10+12\times85$
f) $71\times(11-3) = 71\times11-71\times3$
g) $10\times45 = 45\times10$

Given :

The set of operations are given.

To do :

We have to mention the properties used in the given operations.

Solution :

a) $191+13 = 13+191$ 

Commutative property of addition.

b) $90+0 = 90$

Additive identity

c) $(78+1)+11 = 78+(1+11)$

Associative property of addition.

d) $(121\times4)\times80 = 121\times(4\times80)$

Associative property of multiplication.

e) $12\times(10+85) = 12\times10+12\times85$

Distributive property of multiplication over addition.

f) $71\times(11-3) = 71\times11-71\times3$

Distributive property of multiplication over subtraction.

g) $10\times45 = 45\times10$

Commutative property of multiplication.

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Updated on: 10-Oct-2022

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