Question

Which expression illustrates the associative property of addition? (3 19) â€"" 12 = (3 12) â€"" 19 3 (19 â€"" 12) = 3 (19 12) (3 19) â€"" 12 = 3 (19 â€"" 12) 3 (19 â€""12) = 3 â€"" (19 12).

Answer 1

Associative property of addition changing the grouping of add once does not change the sum. The option 3 illustrates the associative property of addition. Thus this is the correct option.

Given-

The options are given in which the associative property of the addition has to be found.

Associative property

Associative property of addition is the changing the grouping of add once does not change the sum.

• Option 1-

$(3+19)-12=(3+12)-19$

In the above option with changing the bracket the sign of 19 and 12 is changed. This will affect the result of the addition. Hence, option 1 is incorrect.

• Option 2-

$3+(19-12)=3+(19+12)$

In this case, the sign changed. Thus the result of the sum will be different. Hence the option 2 is incorrect.

• Options 3-

$(3+19)-12=3+(19-12)$

In this case, brackets are changed but the sign is not changed. Thus the result will be the same. Hence, option 3 illustrates the associative property of addition. Thus this is the correct option.

• Option 4

$3+(19-12)=3-(19+12)$

In the above case, the sign changed and thus the result will also be changed. therefore option 4 is incorrect.

Hence, option 3 illustrates the associative property of addition. Thus this is the correct option

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