Evaluate the expression. Justify each of your steps.

5.9+10.4+2.1

Short Answer

Expert verified

Value of given expression is 18.4.

Step by step solution

01

Step-1- Concept of commutative property and associative property of addition

The commutative property is a math rule says thatthe order in which we add numbers does not change the final product.

A+B=B+A

The associative property of addition statesthat the addition of three or more numbers remains the same regardless ofhow the numbers are grouped,

A+B+C=A+B+C.

02

Step-2-Evaluating given expression

5.9+10.4+2.1

Using order of operation,

5.9+10.4+2.1=5.9+10.4+2.1.

Using Commutative property,

5.9+10.4+2.1=10.4+5.9+2.1.

Using associative property,

5.9+10.4+2.1=10.4+5.9+2.15.9+10.4+2.1=10.4+85.9+10.4+2.1=18.4

03

Step-3-Conclusion

Therefore, the value of given expression is 18.4.

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