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Will 0.555 produce a rational number when multiplied by 0.5?
Yes. Since 0.555 and 0.5 are both rational numbers, their product will be rational.
What is 2 rational numbers that can be multiplied to get 0.75?
0.75 and 1 is one possible pair.
Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
A rational expression multiplied by another rational expression is a rational expression?
Yes.
Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
What number produces rational numbers when multiplied by 5?
Every rational number does.
Which numbers will produce an irrational number when multiplied by 0.5?
Any irrational number multiplied by 0.5 will remain irrational. Any rational number multiplied by 0.5 will remain rational.
What happens when two irrational numbers are multiplied?
You get a product which can be rational or irrational.
Will 0.555 produce a rational number when multiplied by 0.5?
Yes. Since 0.555 and 0.5 are both rational numbers, their product will be rational.
What numbers will produce a rational number when multiplied by?
The answer will depend on what it is to be multiplied by. Since this part is missing from the question, it is not possible to give a sensible answer.
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
What is 2 rational numbers that can be multiplied to get 0.75?
0.75 and 1 is one possible pair.
Which number can be multiplied to a rational number to explain that the product of two rational numbers is rational?
It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.
What numbers will produce a rational number when multiplied?
Any number will be a rational number when multiplied.0 multiplied by any real number is rational and so it will produce a rational number when multiplied.If x is any non-zero number (rational or not), then since it is non-zero, 1/x is defined and x*(1/x) = 1 which is rational. So any non-zero number will produce a rational number when multiplied.Thus any number will produce a rational number when multiplied.
What can you say about the values of the ratios in the ratio table?
They represent rational numbers.
How do you turn an irrational number in to a rational number?
Some irrational numbers can be multiplied by another irrational number to yield a rational number - for example the square root of 2 is irrational but if you multiply it by itself, you get 2 - which is rational. Irrational roots of numbers can yield rational numbers if they are raised to the appropriate power
Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?
The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.
