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Evaluate the expression when x=5andy=-2.

1·11·y2

Short Answer

Expert verified

The value of the expression is1·11·y2=44.

Step by step solution

01

Step-1 – Apply the concept of product

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

02

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

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

Associative property of Multiplication

Property: (a·b)·c=a·(b·c)

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

Example: (6·4)·3=6·(4·3)=72

03

Step-3 – Evaluate the expression

To evaluate the expression1·11·y2, substitute the value of y as – 2 and multiply the numbers as shown below,

localid="1649082128044"       1·  11·y2=  1·  11·-22=  1  ·  (11  ·  4)                (Associative  Property  of  Multiplication)=(1  ·  11)  ·  4                 (Associative  Property  of  Multiplication)=  11  ·  4=44

Thus, the value of the expression is1·  11·y2   =  44.

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