Every time. The sum of two rational numbers MUST be a rational number.
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.
Yes, 0.62 is a rational number. A rational number can be written as the quotient of two integers. 0.62 can be written as 62/100, which can be simplified to 31/50.
A rational number
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
Two over three can be expressed as a ratio (2/3), so it is therefore a rational number.
Twice the rational number 5/2 = 5From this, you need to subtract 4 3/5 to get 2/5.
5 2/7 already is a rational number - you don't need to convert anything.
It can be expressed as the ratio of two integers in the form: 5/1.
The product of two rational numbers is always a rational number.
No; since pi is irrational if you multiply it by a rational number it is still irrational
Every time. The sum of two rational numbers MUST be a rational number.
Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.
There are [countably] infinite rational number between any two rational numbers. There is, therefore, no maximum.
No, it is rational. A rational number is one which can be expressed as a ratio between two integers. Since 22 and 7 are both integers, then 22 over 7 is rational.
The number 9.23 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero. In this case, 9.23 can be written as 923/100, which is a fraction of two integers, making it a rational number.
No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).