0
True or false an irrational number can become rational by dropping a few decimal places?
Wiki User
∙ 13y ago
In This Case, the answer is false and this is why
in the case you have the Square root of 3, or (√3)
To Approximate this, you come up with a number near to 1.7320508075688772935274463415059... and so on
this is irrational because it is non-repeating, or you cannot simply make a fraction of it.
But, if this where true, the you would be saying this
1.7320508075688772935274463415059=1.732=1.7.... and, in math, this is not true
a more simple explanation would be that if you had 1/3 and 3/10, which would you say is bigger?
1/3 is bigger, and here is why
3/10=0.3
1/3=0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333...... and so on
but, if you slap all of those 3's off there, it becomes 0.3, making it "rational", but incorrect.
-Nick Ogre
Wiki User
∙ 13y ago
Add your answer:
Earn +20 pts
What happens to the value of a number when multiplied by a decimal?
Nothing special happens. The answer can be smaller or bigger. A rational can become irrational or the other way around.
What is comparing and ordering rational numbers?
Rational numbers are roots, decimals, fractions, and whole numbers. Bascially anything that can become a decimal. Irrational numbers are like pi. I'm pretty sure to be irrational, they have to repeat. Anyway, ordering them and comparing them means looking at them and seeing which is smallest and largest. Then you order them (smallest to largest or whatever it says).
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
Can an irrational number become a rational number?
How would you do that ?? You'd have to change the value of the number. As long as the irrational number keeps its original value, it's an irrational number.
When a rational fraction is divided to form a decimal value it become a terminating or what decimal?
finite
An irrational number can become rational by dropping a few decimal places?
An irrational number can become rational by dropping a few decimal places. Ans 2. An irrational number can produce a rational by being truncated as desired. The square root of 2 is often truncated to 1.414, and is useful in all sorts of technologies at that accuracy. However, it is no longer the square root of 2 ! It is often a useful approximation, but to a mathematician it is a queer duck.
Can an irrational number become rarional by dropping a few decimal points?
Well, not 'a few'. An irrational number can never be completely written out.As a decimal, it just keeps going and going, forever. If you stop it anywhereand say "That's the number.", then you have a rational number.
What happens to the value of a number when multiplied by a decimal?
Nothing special happens. The answer can be smaller or bigger. A rational can become irrational or the other way around.
Is decimal a rational number?
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
What is comparing and ordering rational numbers?
Rational numbers are roots, decimals, fractions, and whole numbers. Bascially anything that can become a decimal. Irrational numbers are like pi. I'm pretty sure to be irrational, they have to repeat. Anyway, ordering them and comparing them means looking at them and seeing which is smallest and largest. Then you order them (smallest to largest or whatever it says).
When a rational fraction is divided to form a decimal value it become a terminating or what decimal?
finite
Can an irrational number become a rational number?
How would you do that ?? You'd have to change the value of the number. As long as the irrational number keeps its original value, it's an irrational number.
What is rational behavior?
a person's past experiences shape their belief system and thinking patterns. People form illogical, irrational thinking patterns that become the cause of both their negative emotions and of further irrational ideas.
What is rational-emotive behavior?
a person's past experiences shape their belief system and thinking patterns. People form illogical, irrational thinking patterns that become the cause of both their negative emotions and of further irrational ideas.
What is rational-emotive behavior therapy?
a person's past experiences shape their belief system and thinking patterns. People form illogical, irrational thinking patterns that become the cause of both their negative emotions and of further irrational ideas.
What kinds of decimals will fractions turn into?
Rational numbers will become either a terminating decimal (if the denominator has prime factors of 2 and/or 5 only) or a decimal that recurs one or more digits (possibly after one or more digits that do not recur). Examples: 1/2 = 0.5 (terminates) 1/3 = 0.333.... (3 recurs) 1/6 = 0.1666.... (6 recurs after the initial non-recurring 1) 1/7 = 0.142857142857142857.... (142857 recurs)
Why do numbers get bigger when you divide a decimal?
This has absolutely nothing to do with decimals. For example, any positive number become smaller if divided by any number that is greater than 1: whether in rational form or decimal form.
