Question

The following examples illustrate the associative property of addition. (5 + 2) + 3 = 5 + (2 + 3) 3.5 + (1.2 + 9.6) = (3.5 + 1.2) + 9.6 Study the examples, then choose the statement that best describes the property.

(a + b) + c = a + b

a + (b + c) = (a + b) + c

a + b + c = c + a + b

b + c + a = (b + c + a)

Answer 1

a + (b + c) = (a + b) + c

Explanation:

Given :

1. (5 + 2) + 3 = 5 + (2 + 3)

2. 3.5 + (1.2 + 9.6) = (3.5 + 1.2) + 9.6

To Find :choose the statement that best describes the property.

Solution :

Option b best describes the property

in 1. if take 5 as a 2 as b and 3 as c

Now put these values in option b

a + (b + c) = (a + b) + c

= 5 + (2 + 3) = (5 + 2) + 3

Thus option b satisfies

in 2. if take 3.5 as a 1.2 as b and 9.6 as c

Now put these values in option b

a + (b + c) = (a + b) + c

3.5 + (1.2 + 9.6) = (3.5 + 1.2) + 9.6

Thus option b satisfies

Hence Option b is correct

Answer 2

The pattern that matches your examples is ...

... a + (b + c) = (a + b) + c