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The opposite (or inverse) of a number can be defined in a number of different ways.
For example, the additive opposite of 4 is -4 but the multiplicative opposite of 4 is 1/4 or 0.25
Since the question concerns the product it would seem more appropriate to use the multiplicative opposite. Then, the product of a number and its opposite will be always 1.
Incidentally, the product of a number and its additive opposite will be the negative square of the number.
In neither case will it be zero.
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∙ 13y ago
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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.
Any nonzero number raised to the power of zero is equal to?
Any nonzero number raised to the power of zero is equal to one (1).By definition.
Explain Why the product of two nonzero absolute values is always a positive number?
An absolute value must be greater or equal to zero. If the absolute value is known to be nonzero then it must be greater than zero: that is, it must be positive. The product of two (or more) positive numbers must be positive.
What does any nonzero raised to the zero power equal?
Any number raised to the power of zero is always equal to 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 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 a nonzero number?
A quantity which does not equal zero is said to be nonzero.
What is a nonzero whole number?
A nonzero whole number is a quantity which does not equal zero and number without fractions.
Why 1 and 0 are not prime number nor composite number?
Actually, 1 is composite. As for 0: "Zero has an infinite number of divisors (any nonzero whole number divides zero). It cannot be written as a product of two factors, neither of which is itself, so zero is also not composite. It falls in a class of numbers called zero-divisors. These are numbers such that, when multiplied by some nonzero number, the product is zero. " -Dr. Rob, the math forum
Can the dot product of two nonzero vectors be equal to zero?
Yes, if the dot product of two nonzero vectors v1 and v2 is nonzero, then this tells us that v1 is PERPENDICULAR to v2. :)
What is th product of two or more nonzero whole numbers?
The product is also a whole number. If the (number of positive factors) minus the (number of negative factors) is zero or an even number, then the product is positive. Otherwise the product is negative.
Any nonzero number raised to the power of zero is equal to?
Any nonzero number raised to the power of zero is equal to one (1).By definition.
Explain Why the product of two nonzero absolute values is always a positive number?
An absolute value must be greater or equal to zero. If the absolute value is known to be nonzero then it must be greater than zero: that is, it must be positive. The product of two (or more) positive numbers must be positive.
What is the sum of a number and its opposite?
The sum of a number and its negative (additive inverse) is zero. For any nonzero value n, n + (-n) = 0
What does nonzero irrational number mean?
It means that: a) The number is irragional, and b) the number is not zero. Since zero is rational, it isn't irrational, so saying that it is nonzero is really superfluous.
What is a non zero number?
A mathematical element that when added to another numeral makes the same numeral
