91Ó°ÊÓ

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Associative property of Addition: (a + b) + c = a + (b + c)

If you are adding three real numbers, the sum is always the same regardless of their grouping.

Example: (11+12) + 13 = 11 + (12+13) = 36

Associative property of Addition states, if you are adding three real numbers, the sum is always the same regardless of their grouping.

Evaluate the expression:

To evaluate the expression$11  +  47b+a$, substitute the value of a as 9 and the value of b as – 4 and addition of the numbers as shown below,

$\begin{array}{l}11\text{ â¶Ä‰}+\text{ â¶Ä‰}47b+a\\ 11+47(−\text{ â¶Ä‰}4)+9\text{ â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰}(\text{substitute â¶Ä‰}a\text{ â¶Ä‰}=9\text{ â¶Ä‰and â¶Ä‰}b\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ }4\text{ })\\ 11+\text{ â¶Ä‰}(−188)\text{ â¶Ä‰}+9\\ (11+\text{ }(−188\left)\right)+9\text{ â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰}(\text{Associative â¶Ä‰Property â¶Ä‰of â¶Ä‰Addition)}\\ 11\text{ â¶Ä‰}+\text{ â¶Ä‰}\left(\text{ â¶Ä‰}\right(−188)\text{ â¶Ä‰}+\text{ â¶Ä‰}9)\text{ â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰â€‰â¶Ä‰}(\text{Associative â¶Ä‰Property â¶Ä‰of â¶Ä‰Addition)}\\ \text{11+(}−\text{179)=}−\text{ â¶Ä‰}168\end{array}$

$11\text{ â¶Ä‰}+\text{ â¶Ä‰}47b+a\text{ â¶Ä‰}=\text{ â¶Ä‰}−\text{ â¶Ä‰}168$