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Examples 2 and 3 Evaluate each expression using properties of numbers. Name the property used in each step.

28.234â‹…118â‹…32

Short Answer

Expert verified

The value of expression is 99.

Step by step solution

01

– Write the formulae used

Associative property of multiplication:

aâ‹…bâ‹…c=aâ‹…bâ‹…c

Inverse property of multiplication:

aâ‹…1a=1aâ‹…a=1

Commutative property of multiplication:

aâ‹…b=bâ‹…a

02

– Write the given information 

The expression given is

234â‹…118â‹…32

03

- DESCRIPTION OF STEP 

To solve the given expression first simplify the mixed fraction(s) in the given expression as:

234⋅118⋅32=2×4+34⋅1×8+18⋅32=114⋅98⋅32

Now use the associative property to simplify the above expression further as:

114â‹…98â‹…32=114â‹…98â‹…32=114â‹…98â‹…8â‹…4=114â‹…9â‹…4=114â‹…4â‹…9commutativerule=11â‹…9=99

Thus,234â‹…118â‹…32=99

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