Which of the following represents the product of the reciprocal of 1/8?

Which of the following represents the product of the reciprocal of 1/8?

• A. 8
• B. 0.125
• C. 1
• D. 1/8

Answer: (A)

The product of the reciprocal of a fraction involves first determining what the reciprocal of that fraction is. The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, the reciprocal of 1/8 would be 8/1, which simplifies to just 8. When referring to the product of this reciprocal, it can mean multiplying the reciprocal by 1, but in this context, it primarily emphasizes identifying the value that results from taking the reciprocal. Since the reciprocal of 1/8 is indeed 8, this makes 8 the correct answer. 0.125 represents the decimal form of 1/8, which is not relevant when asking for the product of the reciprocal; 1 is the result of multiplying any number by its reciprocal (not specifically of 1/8), and 1/8 is simply the original fraction rather than the product of its reciprocal. Therefore, the right understanding clearly identifies the product of the reciprocal to be 8.

The product of the reciprocal of a fraction involves first determining what the reciprocal of that fraction is. The reciprocal of a fraction is obtained by flipping the numerator and denominator. Therefore, the reciprocal of 1/8 would be 8/1, which simplifies to just 8.

When referring to the product of this reciprocal, it can mean multiplying the reciprocal by 1, but in this context, it primarily emphasizes identifying the value that results from taking the reciprocal. Since the reciprocal of 1/8 is indeed 8, this makes 8 the correct answer.

0.125 represents the decimal form of 1/8, which is not relevant when asking for the product of the reciprocal; 1 is the result of multiplying any number by its reciprocal (not specifically of 1/8), and 1/8 is simply the original fraction rather than the product of its reciprocal. Therefore, the right understanding clearly identifies the product of the reciprocal to be 8.