If the opposite is meant to be the additive opposite and not the multiplicative opposite, then their sum is zero. The reason is that is what defines an additive opposite!
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The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
Any other rational number.
Yes. Any rational number divided by any other rational number is a rational number.
No. A rational number is one that may be represented as a simple multiple, or a division. Such as one times seven, or three times seven; OR one divided by seven, or three divided by seven. Or similar.A rational number, if a fraction, when multiplied by the divisor of the fraction, will give a simple whole number. e.g. 7/5, when multiplied by 5 becomes the whole number 7.An irrational number is one that cannot be formed by a simple ratio, or a simple division. e and pi are a couple of common irrational numbers. [irrational demonstrates where the name comes from.]No number can be found which will convert them, by multiplication, into a whole number.
Any, and every, irrational number will do.
The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.
If we define "opposite" as the additive inverse, the sum is zero.
It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.
Any other rational number.
Any other rational number.
Yes. Any rational number divided by any other rational number is a rational number.
It is a rational number.
Yes. Any rational number divided by another rational number is also rational.
Any number is NOT rational. In fact, there are more irrational numbers than there are rational.
No. A rational number is one that may be represented as a simple multiple, or a division. Such as one times seven, or three times seven; OR one divided by seven, or three divided by seven. Or similar.A rational number, if a fraction, when multiplied by the divisor of the fraction, will give a simple whole number. e.g. 7/5, when multiplied by 5 becomes the whole number 7.An irrational number is one that cannot be formed by a simple ratio, or a simple division. e and pi are a couple of common irrational numbers. [irrational demonstrates where the name comes from.]No number can be found which will convert them, by multiplication, into a whole number.
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.