Lance wants to find the total length of 3 boards.He uses the expression 3 1/2+( 2+4 1/2 how can lance rewrite the expression usi ng both the associative and commutive properties of addition
2 answers:
A right parenthesis ) is missing from this problem statement. I'm assuming that you meant <span>3 1/2+( 2+4 1/2). There are at least two ways in which you could do this problem. One would be to simply drop the parentheses entirely: </span><span>3 1/2+ 2+4 1/2 It'd make sense to add 3 1/2 and 4 1/2 together FIRST, and then to add 2 to the result. Or, do the work inside the parentheses FIRST: </span><span>3 1/2+( 2+4 1/2). </span> This simplifies the problem to <span>3 1/2+( 6 1/2). You MUST get the same answer either way.</span>
Step-by-step explanation:
This problem bothers on the use of mathematical properties
Given the expression
3 1/2+( 2+4 1/2)
Applying the associative property rule which says we can add or multiply regardless of how numbers are grouped
Associative property
3 1/2+( 2+4 1/2) can re re-written as
(3 1/2+2) +4 1/2
Commutative property
This rule states that the we can move (commute) figures about and still get same result.
Hence 3 1/2+( 2+4 1/2) can also be expressed as (2+4 1/2+3 1/2)
Or (4 1/2 +2+ 3 1/2)
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