Question

Evaluate the expression when$a = 9 \text{and} b = - 4$.

$11+47b+a$

Short answer

$11 + 47b+a = - 168$.

Step-by-step solution

Step-1 – What are real numbers? 

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

Step-2 – Associative Property of Addition of Real Numbers: 

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

Step-3 – Evaluate the expression

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,

$\begin{array}{l}11+47b+a\\ 11+47(-4)+9(\text{substitute\hspace{0.17em}\hspace{0.17em}}a=9\text{\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}}b=-4)\\ 11+(-188)+9\\ (11+(-188\left)\right)+9(\text{Associative\hspace{0.17em}\hspace{0.17em}Property\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}Addition)}\\ 11+\left(\right(-188)+9)(\text{Associative\hspace{0.17em}\hspace{0.17em}Property\hspace{0.17em}\hspace{0.17em}of\hspace{0.17em}\hspace{0.17em}Addition)}\\ \text{11+(}-\text{179)=}-168\end{array}$

$11+47b+a=-168$