Question

Use the commutative and associative properties to simplify 429 + 75 + 71

Answer 1

$\textbf{To find:}$

$429+75+71$

$\text{Consider,}$

$(429+75)+71$

$\text{Using the commutative property of addition}$

$\boxed{\bf\,a+b=b+a}$

$=(75+429)+71$

$\text{Using the associative property of addition}$

$\boxed{\bf\,(a+b)+c=a+(b+c)}$

$=75+(429+71)$

$=75+500$

$=575$

$\therefore\boxed{\bf\,429 + 75 + 71=575}$

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Show that the set z of all integers form a group with respect to binary operation defined by a*b-a+b+1 is an abelian group

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