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Why Is the product of a fraction and its multiplicative inverse 1?
The statement is true only for non-zero fractions and it follows from the definition of a multiplicative inverse.
What is zero product property?
Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1. Multiplicative Inverse of a NumberReciprocal The reciprocal of x is . In other words, a reciprocal is a fraction flipped upside down. Multiplicative inverse means the same thing as reciprocal. For example, the multiplicative inverse (reciprocal) of 12 is and the multiplicative inverse (reciprocal) of is . Note: The product of a number and its multiplicative inverse is 1. Observe that ·= 1.
Is the product of a fraction and its multiplicative inverse 1?
Yes. That's basically the definition of a multiplicative inverse.Also, this doesn't only apply to fractions - it applies to any real numbers.
What is the definition for the multiplicative inverse?
It means, "With what number must I multiply it, to get a product of 1?" For example, the multiplicative inverse of 4 is 0.25 (= 1/4), since 4 x 0.25 = 1. The multiplicative inverse of 5/17 is 17/5. In general, you can divide 1 by a number to get its multiplicative inverse; in the case of fractions, first convert the fraction to an improper fraction (if it is in the form of a mixed fraction), then simply exchange numerator and denominator.
What is a multiplicative inverses?
The multiplicative inverse for the number x is the number 1/x, such that their product is 1. The name for a multiplicative inverse is the reciprocal (opposite).The multiplicative inverse of a fraction is found by making the numerator the denominator and the denomination the numerator, such that the reciprocal of 3/4 would be 4/3. You are simply "flipping the fraction over."Dividing by a fraction is the same as multiplying by its inverse, or reciprocal.Example: 6 divided by 2/3 = 6 times 3/2 = 18/2 = 9so that are 9 two-thirds sections in 6 wholes.
How do you determine the multiplicative inverse of a number?
The multiplicative inverse of a number is its reciprocal, meaning the multiplicative inverse of the rational number a/b is b/a. In the specialized case for integers, the multiplicative inverse of n is 1/n. This is due to the fact that a/b * b/a = 1 and n * 1/n = 1, which is the definition of a multiplicative inverse. More succinctly, to find the multiplicative inverse you "flip" the fraction or integer around to its reciprocal. This is the number that when multiplied with the original number results in a product of 1.
The product of a number and its multiplicative inverse is?
1
How do you find the multiplicative inverse for fractions?
To find the multiplicative inverse of a fraction, you simply flip the fraction. This means you swap the numerator and the denominator. For example, the multiplicative inverse of ( \frac{a}{b} ) is ( \frac{b}{a} ), provided that ( a ) and ( b ) are not zero. When you multiply a fraction by its multiplicative inverse, the result is 1.
Is the multiplicative inverse of -54 ... 54?
No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.No, the multiplicative inverse of any number is one divide by that number. Stated differently, the product (-54) x (its multiplicative inverse) should be 1. (-54) x (54) is NOT equal to 1.The correct multiplicative inverse is -1/54.
What is the multiplicative inverse of the fraction 1 over 5?
5.
Is the product of a number and its multiplicative inverse 1?
yes but no
What is the multiplicative inverse of -0.25?
The multiplicative inverse of a number is the reciprocal of that number. In this case, the multiplicative inverse of -0.25 is -1 / -0.25, which simplifies to -4. This is because multiplying a number by its multiplicative inverse results in a product of 1, the multiplicative identity.
