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partA; give an irrational number._________
partB; explain in words how the number in part a in an irrational number.

_______________________________________________________________________________________________________________________________________________________________

2006-12-17 09:20:55 · 13 answers · asked by Anonymous in Science & Mathematics Mathematics

13 answers

a) pi
b) a number that can NOT be expressed as a ratio/fraction...
The sequence of numbers do not repeat.

2006-12-17 09:23:44 · answer #1 · answered by feanor 7 · 0 0

All whole numbers (e.g., 1, 2, 3, 10, 862) are integers.

Any number that you can express as a fraction of integers is a rational number (e.g., 0.25 is a rational number because it can be written as 1/4; 8 is rational because it can be written as 16/2).

Any number that is not rational (that is, that cannot be expressed as a fraction of two integers) is irrational.

Thus: An irrational number is Pi.
Pi is an irrational number because there is no fraction of whole numbers that equals Pi.

2006-12-17 09:28:36 · answer #2 · answered by TimmyD 3 · 0 0

An irrational number is a number that doesn't have - over it or end is a decimal for example

.1222229333984249244

Is an irrational number, a number that just keeps going on, while a rational number like 6
ends.

2006-12-17 09:22:59 · answer #3 · answered by curiosityreincarnated 3 · 0 0

Some people think irrational means that it doesn't make sense but that's not it. It just means that it cannot be expressed as an integer or a ratio of integers. An example of an irrational number is pi. It's irrational becaues it cannot be expressed exactly as a ratio of integers. expressions like 22/7, 3.14159, etc, are just approximations.

2006-12-17 09:24:13 · answer #4 · answered by Joni DaNerd 6 · 0 0

A) 3,1415; \/2, ....
B) In mathematics, an irrational number is any real number that is not a rational number, i.e., is not of the form n/m, where n and m are integers.

Almost all real numbers are irrational, in a sense which is defined more precisely below.
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2006-12-17 09:28:58 · answer #5 · answered by aeiou 7 · 0 0

an irrational number can not be expressed as a ratio of two integers, such as the square root of 2.

contrary to some of the above answers, a number such as .3333333333333333333 .... is not irrational because it equals 1/3.

2006-12-17 09:31:13 · answer #6 · answered by fcas80 7 · 0 0

√2 is irrational, because it can't be written as a fraction.
Here's another:
121221222122221... ,
where the pattern continues indefinitely.
This decimal is certainly not terminating
and it's not repeating, because we add another
2 to the pattern at each step.
But a non-terminating, non-repeating decimal
is an irrational number.

2006-12-17 09:31:40 · answer #7 · answered by steiner1745 7 · 0 0

pi; pi is an irrational number because it cannot be expressed as a terminating decimal or fraction.

2006-12-17 09:24:21 · answer #8 · answered by abcde12345 4 · 0 0

Pi because there is no way that pi can be written as a fraction.

2006-12-17 09:22:47 · answer #9 · answered by Anonymous · 0 0

.65471552569852 because it can't be expressed as a fraction

2006-12-17 09:29:50 · answer #10 · answered by Gardenia 6 · 0 0

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