I cannot understand how you worked out this problem Bob. Could you explain the steps you made?
Algebra - bobpursley, Wednesday, April 27, 2011 at 10:36am
if it is as I wrote it, then
(45x/6t)11x= 45*11*x^2/6t
= 15*11*x^2/2t= 165x^2/2t
Algebra - tish, Wednesday, April 27, 2011 at 11:05am
it isn't in brackets. 45 ÷ 6t x 11x
Thank you so much for your help.
To understand how Bob worked out this problem, let's break it down step by step.
Bob started with the expression (45x/6t)11x. Since there are no brackets present, Bob first applied the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
The first step is to simplify any numerical values. In this case, there are no numerical values, so we can move on to the next step.
Next, Bob focused on the multiplication and division operations. Looking at the expression, Bob noticed that there are two divisions and a multiplication operation involved.
To simplify the expression, Bob followed the order of operations and divided 45x by 6t, resulting in (45x/6t). Then, he multiplied that result by 11x, giving the expression (45x/6t) * 11x.
To simplify this further, Bob multiplied the numerator (45x) by 11, resulting in 495x, and kept the denominator (6t) the same. So now the expression is 495x/6t.
Finally, Bob simplified the expression by dividing 495x by 6t, giving the final result of 165x^2/2t.
Therefore, the expression (45x/6t)11x simplifies to 165x^2/2t.
It is important to note that Tish later pointed out that the original expression was actually 45 ÷ 6t x 11x, which is different from what Bob had assumed. In this case, the order of operations is different. First, we would divide 45 by 6t, then multiply that result by 11x. Since Bob's explanation was based on a different interpretation of the expression, it is not applicable to this revised version.