Name the property illustrated.
8 ∙ 7 = 7 ∙ 8
It's called the "COMMUTATIVE" property because
in order to make
8 ∙ 7
into
7 ∙ 8
the 8 on the left COMMUTES over to the right where the
7 was previously, while the 7 COMMUTES over to the left
where the 8 was previously. So they call the fact that
you can swap them and still get the same answer, 56, the
COMMUTATIVE property.
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Incidentally, COMMUTATIVE is also a property of addition,
because
7 + 8
and
8 + 7
are both 15.
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However, COMMUTATIVE is NOT a property of division, because
6 ÷ 3
is 2, but
3 ÷ 6
is not 2, but
.
Edwin