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Evaluate each expression using the properties of numbers. Name the property used in each step.

3B.53â‹…25â‹…3â‹…2

Short Answer

Expert verified

The value of the expression is 250.

Step by step solution

01

– Write the formulae used

Associative property of multiplication:

aâ‹…bâ‹…c=aâ‹…bâ‹…c

Commutative property of multiplication:

aâ‹…b=bâ‹…a

Inverse property of multiplication:

localid="1648218764262" aâ‹…1a=1aâ‹…a=1

02

– Write the given information

The expression given is

53â‹…25â‹…3â‹…2

03

- DESCRIPTION OF STEP

To solve given expression use commutative property and associative property to solve it as:

53â‹…25â‹…3â‹…2=25â‹…53â‹…3â‹…2commutativeproperty=25â‹…53â‹…3â‹…2associativeproperty=25â‹…5â‹…1â‹…2inverseproperty=25â‹…5â‹…2=25â‹…10=250

Hence,53â‹…25â‹…3â‹…2=250

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