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Example 1 Evaluate each expression. Name the property used in each step.

12.[3÷2⋅1]23

Short Answer

Expert verified

The value of the expression is 1.

Step by step solution

01

– Write the formulae used

Inverse property of multiplication:

aâ‹…1a=1aâ‹…a=1

Identity property of multiplication:

aâ‹…1=aâ‹…1=a

02

– Write the given information

The expression given is

3÷2⋅123

03

- DESCRIPTION OF STEP 

To solve the given expression first solve the operation inside the small bracket, then solve the square bracket, and then proceed to simplify further as:

3÷2⋅123=3÷223identityproperty=3223=32⋅23=1inverseproperty

Thus,3÷2⋅123=1

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