Question

Evaluate the expression when x = – 8, y = 4 and z = – 5

y + (– 75)

Short answer

The value of y + (– 75) after evaluating the value is – 71 when y = 4

Step-by-step solution

– Explanation of addition in mathematics

The addition is a process of adding two or more items together. In math, addition is the method of calculating the total of two or more numbers to know the sum of the numbers.

Example of addition

An example of addition is: 5 + 11 + 3 = 19.

Example: If a = 7 and b = 8, find the value of a + b

To evaluate the expressiona + b, substitute the value of a as 7 and the value of b as 8 and add the numbers as shown below,

$a+b=7+8=15$

Evaluate the expression y + (– 75) when y = 4   

To evaluate the expression y + (– 75), substitute the value of y as 4 and subtract 4 from 75.

Rule: If they are with the opposite sign (one is positive and other is negative), subtract the smaller number from the bigger number ignoring the sign, then put the sign of bigger number before the answer.

Here – 75 is bigger number and negative, so the answer will be negative.

When y = 4 and the expression y + (– 75) is

Thus, the value of the expression is – 71.