I am having trouble with multiplicative and additive inverse. Can you please tell me the multiplicative and additive inverse for the rational number -4/7? Can you please tell me how I can find the additive and multiplicative inverse?
Given x, the additive inverse is -x, and the multiplicative inverse is 1/x. So, the additive inverse of -4/7 is 4/7, and the multiplicative inverse is -7/4.
Additive inverse is just a fancy way of saying the negative of a number. For example, the negative of 5 is -5. The negative of -47 is 47. You get it by putting a negative sign infront of the number and simplifying (two negatives make a positive). The multiplicative inverse is just a fancy way of saying reciprocal. What exactly is a reciprocal? Well, you can remember by this: - recycle - to start a different cycle in - pro - for - cal - belonging to. It might be confusing at first. But think of it as turning over the fraction. Basically, when you divide one by a number, you'll get the reciprocal. The reciprocal of 5 is 1/5. The reciprocal of 1/2 is 2. The combination of them, the negative inverse, is used if you want to find the slope of a line perpendicular to another, the slope of the second line is the negative reciprocal of the first one (-1/m, where m is the slope of the line with the equation, y mx + b). But you probably don't need that until you start calculus. In the example you gave, you have x which is -4/7: - The negative (-x) is 4/7. - The reciprocal (1/x) is -7/4, which simplifies to -1 and 3/4. - The negative reciprocal (-1/x) is 7/4 or 1 and 3/4. The fractions could be simplified further into decimals, but I don't have any good way of rendering repeating decimals on here so I won't.
Multiplicative Inverse Of A Fraction
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