The product of a rational number and a rational number can be rational.
Question
The product of a rational number and a rational number can be rational.
Solution
Yes, the statement is correct. The product of a rational number and a rational number is always a rational number. Here's why:
Step 1: Understand what a rational number is. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero.
Step 2: Let's take two rational numbers. For example, 1/2 and 2/3.
Step 3: Multiply these two rational numbers. (1/2) * (2/3) = 2/6.
Step 4: Simplify the result. 2/6 simplifies to 1/3, which is also a rational number.
So, the product of two rational numbers is also a rational number.
Similar Questions
The product of a non-zero rational and an irrational number is:*
The product of any two irrational numbers is(A) always an irrational number(B) always a rational number(C) always an integer
The product of a non-zero rational and an irrational number i
Which of the following correctly describes the product of a non-zero rational number and an irrational number? A. always rational B. can be either rational or irrational depending on the rationals used C. a combination of rational and irrational D. always irrational
Which of the following is NOT a rational number?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.