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Is the product of the reciprocals of two positive numbers equal to the reciprocal of their product?
Wiki User
∙ 10y ago
Yes.
3 x 4 = 12
1/3 x 1/4 = 1/12
Wiki User
∙ 10y ago
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What are resiprocals?
For example, the reciprocal of 3 is 1/3. Two numbers are reciprocals (each is the reciprocal of the other) if their product is 1.
What is the product of the reciprocal?
The product of two mutual reciprocals is 1 .
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
How can you tell if two numbers are reciprocals?
If you multiply two reciprocals, their product must be 1.
Two numbers whose product is 1 are called?
Two numbers with a product of 1 are called reciprocals. If you have a number and want to find the reciprocal of it, simply divide 1 by the number. For example, the reciprocal of 5 is 1/5, and the reciprocal of 700 is 1/700.
What are resiprocals?
For example, the reciprocal of 3 is 1/3. Two numbers are reciprocals (each is the reciprocal of the other) if their product is 1.
What is the product of the reciprocal?
The product of two mutual reciprocals is 1 .
What are the two conditional statements from the following Two numbers are reciprocals if and only if their product is 1?
If two numbers are reciprocals, then their product is 1. If the product of two numbers is 1, then they are reciprocals.
What is the product of two numbers that are opposite reciprocals?
I have a feeling that you wrote "opposite reciprocals"where you only needed to write "reciprocals".Their product is ' 1 '.
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
What is the product of two numbers that are reciprocals of one another explain why this is always the case?
A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.
How can you tell if two numbers are reciprocals?
If you multiply two reciprocals, their product must be 1.
Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -1.
What would be the sign of the product of a number and its reciprocal?
Positive, for all non-zero real numbers.
What is a reciprical?
A reciprocal (not reciprical) or multiplicative-inverse is THE relationship between two expressions factored from unity. The product of a reciprocal pair of expressions (quantities or numbers) is equal to 1. For example; 1/5 and 5 are reciprocals of each other, they multiply to equal 1. Zero (zed) does not have a reciprocal.
Define property of reciprocals?
A reciprocal is the number you have to multiply a given number by to get 1. Ex) you have to multiply 2 by 1/2 to get 1. therefore the reciprocal of 2 is 1/2 As implied above, a property of two reciprocals is that their product equals 1. Another name for "reciprocal" is "multiplicative inverse."
