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Why is the reciprocal of the opposite of a nonzero number the opposite of the reciprocal of the number?
Wiki User
∙ 11y ago
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
Wiki User
∙ 11y ago
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What is the product of any nonzero real number and its reciprocal?
The product of any nonzero real number and its reciprocal is the number 1. This can be mathematically given as n multiplied by 1/n, where n represents the nonzero real number. The product of these two terms is 1.
Negative 3 is the reciprocal so what is the opposite of negative 3?
Actually the reciprocal of any number is that number in the denominator instead of in the numerator. The reciprocal of -3 is 1 over -3.
When a nonzero integer is divided by it's opposite is -1?
Yes, when a nonzero integer is divided by it's opposite it's value equals -1
Why the product of nonzero rational number and a rational number is an irrational?
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)
What is a nonzero number?
A quantity which does not equal zero is said to be nonzero.
What is the product of a nonzero number and its reciprocal?
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Why is the reciprocal of a nonzero number is not the same as the opposite of the number?
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.
Dividing by a nonzero number is the same as multiplying by the?
What is the inverse reciprocal of 0.01
What is the product of any nonzero real number and its reciprocal?
The product of any nonzero real number and its reciprocal is the number 1. This can be mathematically given as n multiplied by 1/n, where n represents the nonzero real number. The product of these two terms is 1.
Is the product of a nonzero number and its reciprocal is 0?
Let's say that the nonzero real number is n. Then the reciprocal would be (1/n). So the product is the following n*(1/n)=(n/n)=1 In conclusion the product of any nonzero real number and it's reciprocal is always 1.
What are the differences between the opposite of a non-zero number and the reciprocal of that number?
The answer depends on what you mean by the "opposite" of a number. A reciprocal is one type of opposite: it is the multiplicative opposite.
How are the reciprocal of a nonzero number and the multiplicative inverse of the number related?
1/7=7 Superscript -1
What are similarities and differences between the opposite of a non-zero number and the reciprocal of that number?
The answer depends on what you mean by the "opposite" of a number. A reciprocal is one type of opposite: it is the multiplicative opposite.
What is the name of the product of a nonzero number and its reciprocal is 1?
Yes, it is."The name of the product of a non-zero number and its reciprocal is 1" is TAUTOLOGY.
What is the opposite of a nonzero rational number?
The answer depends on whether you mean an additive opposite or a multiplicative opposite.
What is the product of a number and a recipical?
The product of a number and its reciprocal is one. A reciprocal is, quite simply, the opposite of the number.
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.
