Final answer:
Multiplicative inverses are used in division with rational numbers to find the quotient by multiplying the dividend by the multiplicative inverse of the divisor.
Step-by-step explanation:
Multiplicative inverses are used in division with rational numbers to find the quotient. A multiplicative inverse of a number is a number that, when multiplied together, equals 1. In division, we can multiply the dividend by the multiplicative inverse of the divisor to find the quotient.
For example, if we have the rational number 3/4 and we want to divide it by 2, we can multiply 3/4 by the multiplicative inverse of 2, which is 1/2. The result is (3/4) × (1/2) = 3/8. So, the quotient is 3/8.
This concept is essential in division with rational numbers since it allows us to perform calculations and find the quotient using multiplication instead of purely division operations.
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