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How do multiplication and division of rational number relate to one another?
Division by a non-zero rational number is equivalent to multiplication by its reciprocal.
Does the multiplication property work when the radicands are rational expressions?
true
Are rational numbers closed under division multiplication addition or subtraction?
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
What is multiplicative inverse in rational numbers?
The inverse function of multiplication is division.
What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
How do multiplication and division of rational number relate to one another?
Division by a non-zero rational number is equivalent to multiplication by its reciprocal.
The multiplication property works when the radicands are rational expressions?
true
Does the multiplication property work when the radicands are rational expressions?
true
Are rational numbers closed under division multiplication addition or subtraction?
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
What is multiplicative inverse in rational numbers?
The inverse function of multiplication is division.
What is a common mistake that is important to avoid when simplifying rational expressions?
Division by a factor that can be zero.
When can cross multiply be used as a shortcut to the solution while solving rational expressions?
in division
Are rational numbers are closed under addition subtraction multiplication and division?
They are closed under all except that division by zero is not defined.
How would you describe rational algebraic expressions?
A collection of more than one term.
How do you use reciprocals to solve a division problem with rational numbers?
Division by any non-zero number is the same as multiplication by its reciprocal.
How are you going to simplify rational algebraic expressions?
By long division. Factorisation may work but you cannot depend on that.
Is 8 over 9 an irrational number?
Any addition, subtraction, multiplication, or division of rational numbers gives you a rational result. You can consider 8 over 9 as the division of 8 by 9, so the result is rational.
