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What are some examples of non rational numbers?
Pi.
What happens when you add subtract multiply and divide rational numbers?
If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
What is the differences among integers rational numbers real numbers and irrational numbers?
Integers are whole numbers. They are the counting numbers, 0 and the corresponding negative numbers. Rational numbers are numbers that can be expressed as a ratio of two integers (the second one being non-zero). Irrational numbers are numbers that are not rational numbers. Rational and irrational number together form the set of real numbers.
Why is rational numbers important?
Extending the set of all integers to included rational numbers give closure under division by non-zero integers. This allows equations such as 2x = 3 to be solved.
What are some examples of non rational numbers?
Pi.
Why is the product of a non - zero rational number and an irrational number is irrational?
Let q be a non-zero rational and x be an irrational number.Suppose q*x = p where p is rational. Then x = p/q. Then, since the set of rational numbers is closed under division (by non-zero numbers), p/q is rational. But that means that x is rational, which contradicts x being irrational. Therefore the supposition that q*x is rational must be false ie the product of a non-zero rational and an irrational cannot be rational.
What are facts about rational numbers?
Rational numbers can be written as a fraction with a non-zero denominator,as a terminating,a decimal,or a repeating decimal.
What makes rational numbers rational?
The fact that they can be expressed as a ratio of two whole numbers (with the denominator being non-zero).
What happens when you add subtract multiply and divide rational numbers?
If you add, subtract or multiply rational numbers, the result will be a rational number. It will also be so if you divide by a non-zero rational number. But division by zero is not defined.
Why do you think that rational numbers are important?
The set of whole numbers is not closed under division by a non-zero whole number. Rational numbers provide that closure and so enable the definition of division of one integer by a non-zero integer.
What happens when a rational number is divided by an irrational number?
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
What are rational numbers that have two integers?
Any 2 digit integers are rational numbers because all integers or whole numbers are rational numbers.
Why the quotient of an integer divided by a nonzero integer are not a rational numbers?
Any integer divided by a non-zero integer is rational.
Does multiplying rational and irrational numbers lead to an irrational number result?
Yes, but only if the rational number is non-zero.
Does the set of rational numbers have a multiplicative inverse?
Yes, and for any non-zero rational x, the multiplicative inverse is 1/x.
