7/8 turned into a decimal. Show all the work.
2 answers:
The most obvious answer is to write this into a calculator and read the result, but if you're asking this, I'm assuming you're not allowed to.
This fraction can be easily calculated by hand in two ways: either you remember that
Which means that dividing by 8 is the same ad dividing by two three times:
Or you can think that 7/8 is 1/8 away from one. Just like before, you can compute 1/8 as
And so 7/8 is
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You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the 1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get -1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get -12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get 
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