Answer:
The following statements are true of reciprocals:
1. To find the reciprocal of a fraction, switch the numerator and denominator: The reciprocal of a fraction is obtained by interchanging the numerator and denominator. For example, the reciprocal of 2/3 is 3/2.
2. The reciprocal of a whole number is 1 over the number: The reciprocal of a whole number is obtained by placing 1 over the number. For example, the reciprocal of 5 is 1/5.
3. The product of reciprocals is 1: When you multiply a number by its reciprocal, the result is always 1. This property can be expressed as follows: for any non-zero number x, x multiplied by its reciprocal (1/x) equals 1. For example, if we multiply 3/4 by its reciprocal (4/3), we get (3/4) * (4/3) = 12/12 = 1.
4. Reciprocals are used to divide fractions: Dividing fractions can be done by multiplying the dividend by the reciprocal of the divisor. This process simplifies division and is based on the concept that division is equivalent to multiplication by the reciprocal. For example, to divide 2/3 by 4/5, we multiply (2/3) * (5/4) = 10/12 = 5/6.
Explanation: