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Chapter 2: Q11. (page 66)

Simplify the expression.

-2+y+8

Short Answer

Expert verified

-2+y+8鈥�鈥�=鈥�鈥�y鈥�鈥�+鈥�鈥�6.

Step by step solution

01

Step-1 – What are real numbers? 

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

02

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

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

Commutative Property of Addition:

Property: a + b = b + a

If you add two real numbers in any order, the sum will always be the same.

Example: 5 + 2 = 2 + 5 = 7

03

Step-3 – Evaluate the expression

Commutative property of Addition states, if you add two real numbers in any order, the sum will always be the same.

Evaluate the expression:

To evaluate the expression-2+y+8, the termyis a variable. The terms 鈥� 2and 8 are constants.

Using the Commutative property of addition, adding like terms,

鈭�2+y+8y+(鈭�2+8)y+(8鈭�2)(CommutativePropertyofAddition)y+6

-2+y+8鈥�鈥�=鈥�鈥�y鈥�鈥�+鈥�鈥�6

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