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Because "opposite" doesn't mean anything with respect to numbers, or rather, it doesn't have a unique and definite meaning with respect to numbers.

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Q: Why is the reciprocal of a nonzero number is not the same as the opposite of the number?
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Dividing by a nonzero number is the same as multiplying by the?

What is the inverse reciprocal of 0.01

How are the reciprocal of nonzero number and the multiplicative inverse of the numbers related?

For numbers with ordinary multiplication defined on them, they are the same.

What is the property of the reciprocal of the opposite of a number?

The property of the reciprocal of the opposite of a number is: Reciprocals of inverse values are themselves inverse values. i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a The negative or positive status of a reciprocal is the same as that of the original number.

Do Perpendicular lines have opposite reciprocal slopes?

Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.

What is the opposite of one-half?

That depends what you mean with "opposite". Two important math concepts are:a) The additive inverse. That's the same number, with a minus in front of it (a number plus its additive inverse = 0).b) The multiplicative inverse, also called the reciprocal. One divide by the number. For a fraction, you can simply exchange numerator and denominator to get the reciprocal. (A number times its reciprocal = 1.)

What is the definition of opposite numbers?

The additive opposite of a positive is a negative, and the opposite of a negative is a positive. If you reverse the sign twice (opposite of opposite) you have the original number. The same applies to an inverse (multiplicative opposite): the inverse of any inverse for a nonzero number is the original number. n (1/n)(n) = n

Why is dividing by a number the same as multiplying by its reciprocal?

That is the definition of reciprocal.

What number is the same as the reciprocal?


What is a non zero number?

A mathematical element that when added to another numeral makes the same numeral

What is the difference of a whole number and a nonzero whole number?

A whole number is any number that is not a fraction, decimal, or mixed number. A nonzero whole number is the same, except that it doesn't equal zero.

Why will sin and cosecant have the same sign?

The cosecant is the reciprocal of the sine function. Now, the reciprocal of a positive number is positive, and the reciprocal of a negative number is negative.

What positive number is the same as its reciprocal?