SOLUTION: Which expression has the same vaule as 649*5 a) (600*5)+(4*5)+(9*5) b) (6*5)+(4*5)+(9*5) c) (6*5)+(40*5)+(9*5) d) (600*5)+(40*5)+(9*5)

Algebra ->  Expressions -> SOLUTION: Which expression has the same vaule as 649*5 a) (600*5)+(4*5)+(9*5) b) (6*5)+(4*5)+(9*5) c) (6*5)+(40*5)+(9*5) d) (600*5)+(40*5)+(9*5)       Log On


   



Question 578014: Which expression has the same vaule as 649*5
a) (600*5)+(4*5)+(9*5)
b) (6*5)+(4*5)+(9*5)
c) (6*5)+(40*5)+(9*5)
d) (600*5)+(40*5)+(9*5)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
649=600%2B40%2B9
It is also sometimes written as
649=6%2A100%2B4%2A10%2B9 or 649=6%2A10%5E2%2B4%2A10%2B9
The distributive property says that
%28600%2B40%2B9%29%2A5=600%2A5%2B40%2A5%2B9%2A5%29
So answer d) is correct highlight%28649%2A5=%28600%2A5%29%2B%2840%2A5%29%2B%289%2A5%29%29
We really do not need to write the parentheses around each product, because centuries ago it was agreed that it would be understood that the multiplications found between plus and minus signs would be done first. It was a matter of convenience, in order to greatly reduce the number of parentheses to be written, because a common calculation was the total cost of a list of items, which is often calculated as a sum of products. And so the order of operation rules taught at the beginning of algebra class came to be.