use properties and definitions of operations to show that the statements is true. JUSTIFY EACH STEP
6 (a ÷ 3) = 2a
2007-08-21 12:22:34 · 3 answers · asked by CELL 2 in Science & Mathematics ➔ Mathematics
6 (a ÷ 3) Given
= 6 (a * 1/3) Reciprocals definition
= 6 (1/3 * a) Commutative property of multiplication
= (6 * 1/3) * a Associative property of multiplication
= 2 * a Arithmetic
= 2a Notational rewrite
2007-08-21 12:34:23 · answer #1 · answered by devilsadvocate1728 6 · 0⤊ 0⤋
this is easy:
try changing your view from the ÷ sign to /
6(a)
------ = 2a
3
dividing 6 by 3 you get
2a = 2a... so they are equal
2007-08-21 19:33:42 · answer #2 · answered by toffer 3 · 0⤊ 0⤋
Usually we write division like this: a/3
So, you have
6 * a/3 = 2*a
(6/3)*a = 2*a
(2)*a = 2*a
2*a = 2*a
2007-08-21 19:28:57 · answer #3 · answered by lithiumdeuteride 7 · 0⤊ 1⤋