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What else can I help you with?
Why is the sum of an rational number and irrational number an irrational number?
The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.
Can the sum of two irrational numbers ever be rational?
Sure. For example, the sum of:root(2) and: - root(2) is zero, which is rational.
Can an irrational number ever be a natural number a whole number?
Irrational numbers have infinitely long, non-repeating decimal expansions. They cannot be natural numbers or whole numbers. Those are rational.
Is 1.4 rational or irrational?
Any number which can be written exactly with a limited set of figures is "rational". Numbers which cannot be written with a limited set, because the decimal number goes on for ever is "irrational". So 1.4 is rational because it takes only 2 figures to write its value exactly.
Is 0.686868 rational irrational both rational and irrational or neither rational nor irrational?
Irrational* * * * *No.The number can be represented by a terminating decimal so it is rational.A number cannot be both rational and irrational. And unless you are into higher maths (and if you are, the distinction between rationals and irrationals will be child's play) there are none that are neither rational nor irrational. So, for your purposes, they must be one or the other but cannot be both.Even if it is an infinite decimal, with 6868 going on for ever, it is rational.
Who was the first person to show that two is an irrational number?
No one has ever shown that 2 is an irrational number because it is rational.
Can whole numbers ever be irrational?
No, never.
How do you know if a decimal is rational or irrational?
A decimal is rational if it:either ends and doesn't go on forever; ORit is a repeating decimal.A decimal is irrational if it goes on forever and ever and never stops without repeating.The number: 5.77777777 is rational because it goes on forever, REPEATING the same number (the digit 7).It can also repeat a group of numbers, like the number: 8.789789789789789789See how the "789" is REPEATING over and over again and never stops? That is a rational decimal!
Is 4.7010010001 a rational or irrational number and why?
It is rational. You can write its decimal part as 7,010,010,001/10,000,000,000. Add 40,000,000,000/10,000,000,000 to that and you get 47,010,010,001/10,000,000,000, a very ugly fraction that doesn't reduce. But hey, nobody ever said rational numbers were always going to look nice. It still equals 4.7010010001.
Do irrational numbers ever stop?
Never hope that helped!! ~Katie
What is the smallest real number ever?
Real numbers are composed of rational and irrational numbers. Integers are part of the group (set) of rational numbers. And the integers are composed of the counting numbers (1, 2, 3, ...) and their negative counterparts (-1, -2, -3, ...). Oh, almost forgot. There is one more integer that is neither positive or negative. It's the number zero. Zero is an integer (neither positive or negative). The smallest real number ever is zero.
Can a rational number have a decimal point?
Yes, for example 3/2 can be written as 1.5. All rational numbers have either a decimal expression of finite length or a repetitive pattern, unlike an irrational number, which goes on for ever when written in decimal form, never repeating.
