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Why is a recurring number rational?
A recurring decimal can always be converted to a fraction with integer numerator and denominator, and that is precisely the definition of a rational number. Example: let the recurring number be 0.3121212... Call the number "x" 100x = 31.21212... x = 0.31212... Subtract the two equations: 99x = 30.9 990x = 309 x = 309/990 This can be simplified, but the point is that I converted the recurring decimal to a fraction, with integer numerator and denominator.
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 309 a prime number or a composite number?
309 is not prime. 309 = 3 * 103
Why is a recurring number rational?
A recurring decimal can always be converted to a fraction with integer numerator and denominator, and that is precisely the definition of a rational number. Example: let the recurring number be 0.3121212... Call the number "x" 100x = 31.21212... x = 0.31212... Subtract the two equations: 99x = 30.9 990x = 309 x = 309/990 This can be simplified, but the point is that I converted the recurring decimal to a fraction, with integer numerator and denominator.
What are the factors in the number 309?
No, 2 is not a factor of 309 because it does not evenly divide into 309. The factors of 309 are 1, 3, 103, and 309.
What is the prime number of 309?
3 x 103 = 309
Is the number 309 a prime number?
no
What is 15.45 in simplest form?
15.45 is a decimal fraction and, being a decimal representation, it IS in its simplest form. The equivalent rational fraction is simplest form is 309/20.
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.
