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A rational number is one that can be represented as a fraction a/b.
0.3 = 3/10
ANY decimal that terminates is a rational number - just put all the digits after the decimal point over 1 followed by the same number of 0s as there are digits, eg 0.25 = 25/100 (two digits after decimal point, so two 0s after the 1, ie 100) and simplify: 25/100 = 1/4
Any decimal number that repeats one or more digits forever (eg 0.333... 0.181818..., 0.1666...) are also rational numbers as they can also be represented as a fraction (0.333... = 1/3; 0.181818... = 2/11; 0.1666... = 1/6)
If a decimal goes on forever but does not repeat any digits, then it cannot be represented as a fraction and is irrational, eg π = 3.1415926...
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Is the product of a rational number and a rational number a rational number?
yes
Is a rational number multiplied a rational number rational?
Yes.
Is the number 17.5 a rational number?
yes
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.
Is 5 over 9 rational?
Yes. Any rational number divided by another rational number is also rational.
Is 3.456 a rational or irrational number?
It is a rational number. It can be written as a fraction.
Is the product of a rational number and a rational number a rational number?
yes
Is 17.02 a rational number?
Is 12.05 a rational number or irrational number?
Is 1.96 a rational number or an irrational number?
1.96 is a rational number
Is 0.74 a rational or irrational number?
It is a rational number, as it can be written as a fraction.
Is a Rational number plus rational number equals rational number?
Yes, the sum is always rational.
What is a rational number number which is not a rational number?
There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.
Is a rational number always a rational number?
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Is a rational number plus a rational number always a rational number?
Yes, it is.
Is 10.01 a rational or irrational number?
10.01 is a rational number
Is 0.05 a rational or irrational number?
It is a rational number.
Is 9.0 rational or irrational?
Since it can be written as a fraction (9.0 = 90/10), then it 9.0 is a rational number.
