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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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