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Evaluate the following expression and name the property used in each step:

3.25+2.2+5.4+10.75

Short Answer

Expert verified

The value of the expression is: 3.25+2.2+5.4+10.75=21.6.

Step by step solution

01

Step 1. Given information.

The given expression is:

3.25+2.2+5.4+10.75

02

Step 2. Write the concept.

The substitution property for multiplication, addition, and subtraction is:

ab=ca÷b=ca±b=c

The commutative property is:

a+b=b+a

The Associative property is:

a+b+c=a+b+c

03

Step 3. Evaluate the expression.

The expression can be solved below:

3.25+2.2+5.4+10.75=3.25+10.75  +2.2+5.4           Commutative  Property=14.00+2.2+5.4              Substitution  Property=14+2.2+5.4             Associative  Property=16.2+5.4            Substitution  Property=21.6            Substitution  Property

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