3. Properties of Addition and Multiplication
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What operation does the sum of
represent?
Expression: 7+(x+5)
Simplified Expression: x+12
... plus ...and
the sum of ...and....This indicates that we should make an addition two times. ... + ... + ... The first two terms that we need to add together are
a numberxand
5.Since
a numberxcomes first in the verbal expression, it should be on the left-hand side of the addition.
7 plus .... This means that we need to add the above expression to 7. Because we are adding an expression to a number, we can use parentheses. Since
7comes first in the verbal expression, it should be on the left-hand side of the addition. 7 + ( x + 5) Finally, we can simplify this expression by using the Commutative Property of Addition. This will help us to have together the like terms. Then, we can use the Associative Property of Addition.
Commutative Property of Addition
Associative Property of Addition
Add terms