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Chapter 2: Q56. (page 73)

Identify the property that the statement illustrates.

(  x+5y)  +  2  =  x  +  (5y  +  2)

Short Answer

Expert verified

The property is Associative Property of Addition.

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 – 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

03

Step-3 – Write the name of the property: (x + 5y) + 2 = x + (5y + 2) 

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

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

Name of the property for this equation x+5y+2=x+5y+2is Associative property of Addition.

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