It is non terminating and non repeating so it is an irrational number.
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therefore, 1.23333 can be represented as 111/90 (a rational no.)
So number 11.2132435465 is a rational number.
(viii) 1.232332333...is an irrational number because it is a non−terminating, non−repeating decimal. (ix) 3.040040004... is an irrational number because it is a non−terminating, non−repeating decimal. (x) 2.356565656... is a rational number because it is repeating.
Since 0.101001000100001… has non-terminating non-recurring decimal representation, it is not rational.
43.123456789 is a rational number of the form p/q and q is of the form 2m × 5n and the prime factors of q will be either 2 or 5 or both, 43.
Any number that does not meet the definition of a rational number is an irrational number. Numbers like pi (π = 3.1415926536...) and many square roots (√2 = 1.41421356237...) have digits that go past the decimal point infinitely. But they don't contain infinitely repeating patterns, so they're considered irrational.
(d) 0.4014001400014... is a non-terminating and non-recurring decimal and therefore is an irrational number.
1.414213 is a rational number.
A repeating decimal is a decimal that does not terminate but keeps repeating the same pattern. For example, 0.123123123. . . is a repeating decimal; the “123” will repeat endlessly. Any repeating decimal is equal to a rational number.
Pi, 3.14159265359, is an irrational number. That means it can't be expressed as a simple fraction.
Thus, 0.101100101010……. is an irrational number.
1.414213562 is a non-terminating and non-recurring decimal. Therefore, this is not a rational number. It is an irrational number.
(viii) 1.232332333 … is a non-recurring and non-terminating decimal. Thus, 1.232332333 … is irrational.
43.123456789 is a terminating decimal. It is rational because decimal expansion is terminating.
No, because integers cannot be negative. Q. Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.
D) 3.141141114 is an irrational number because it has not terminating non repeating decimal expansion.
0.7777777 is a rational number with recurring decimals.
Hence, 0.666666.. is a rational number.
Here 0.1014001400014..... is non-terminating or non-repeating. So it is an irrational number.
3.33333............ =103 It is rational because it can be written in the form pq , therefore it is not irrational.
3.333333........ is a recurring non terminating decimal. repeating, it is a rational number.
NUMBER SYSTEMS Recall s = 0.10110111011110... from the previous section. Notice that it is non- terminating and non-recurring. Therefore, from the property above, it is irrational.
The number 0.14114111411114 . . . is irrational because it may not be expressed as the ratio of two integers. It is not a repeating decimal.
Answer. It is not a rational number, since its digits are not repeating. The rational number must have digit iterations. 2.141441444 is not iterating.