yes
Yes - if I had an irrational number x, and I added that to the number (7-x), I would end up with 7.If the number is irrational, it can be subtracted from a rational/integer to make another irrational.
You can add any irrational number.
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
No. The set of rational numbers is closed under addition (and multiplication).
no
Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20.
Not necessarily. The sum of two irrational numbers can be rational or irrational.
Yes, you can.
Yes. The sum of two irrational numbers can be rational, or irrational.
You can not add irrational numbers. You can round off irrational numbers and then add them but in the process of rounding off the numbers, you make them rational. Then the sum becomes rational.
no
no
No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.
Positive numbers always result in positive numbers when added, divided, or multiplied by another positive number.
If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.If you multiply two numbers, the result will be positive, if both factors are positive, or if both are negative. Multiplying a positive number by a negative number, or a negative number by a positive number, results in a negative result.For addition, if you add two positive numbers, the result is positive. If you add two negative numbers, the result is negative. If you add a positive and a negative number, the result depends on which of the numbers has the greater absolute value. For example, if the positive number has the greater absolute value (distance from zero), the result will be positive.
yes