### What is the reciprocal of 0.8?

The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1…

### What number decreased by 8 equals 5 times that number?

First write an algebraic equation for x, the number you are looking for. x-8 is the number decreased by 8 and that needs to equal 5x. x-8=5x so now subtract 5x from both sides and add 8 to both sides and we have -4x=8 so x is -2. Now we plug that back in the original English sentence. -2 decreased by 8 is -10 and 5 times -2 is negative 10.