when 2(6x2.5) it should be the same answer shouldn't it!!
if you try it with other sums like
6(5x2.5)
30x15
whilst writing that down i realised it was wrong!! but i don't understand why it is wrong??
The distributive property:
a * ( b + c ) = ( a * b ) + ( a * c) does not apply when terms within parenthesis are to be multiplied together: a * ( b * c)
The associative property alone applies to both:
a + ( b + c) = ( a + b ) + c
and
a * ( b * c) = ( a * b ) * c
let's make this simple. When there are brackets - do that part first. So that would be 6 x 2.5, ok?
Then multiply by 2.
In your second example, you say 6(5x2.5) is the same as 30 x 15. It's not, it's the same as 30 x 2.5, as you've in effect 'used up' the 6.
If, on the other hand, the brackets had a plus or minus instead of multiplied by or divided by, then it would work out as you first thought, ie 10(3+4) is the same as 30 + 40.
mibn2cweus is correct. In the example above :
2*(6*2.5) = 6*(2*2.5) = 2.5*(2*6) according to the associative property. Cookaburra thought that the distributive property applied, but it only applies when the terms in parenthesis are being added or subtracted..
Apparently I ran across a bug in the way characters as they were presented in the preview are finally displayed following submittion. Quarks like that invariably turn up when I am doing my very best to truly show off.
Now that Cookaburra has probably been pushed over the edge, our work here is done. Let's all move on then; shall we?