0.7777777 is a rational number with recurring decimals.
Hence 0.33333... is actually a rational number. Definition of Rationality: A number that can be represented in the form pq where p and q are integers (q not equal to zero) is a rational number. 0.3333... =13; hence it is a rational number.
3, 9 Classify the following numbers as rational or irrational: (v) 1.101001000100001 1.10100100010000 It is a non-terminating , non-repeating decimal therefore, it is a irrational number.
Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern. Is he correct? Why or why not? Yes, because the decimal is repeating.
D) 3.141141114 is an irrational number because it has not terminating non repeating decimal expansion.
For example, take the number 0.33333... Even though this is often simplified as 0.33, the pattern of 3's after the decimal point repeat infinitely. This means that the number can be converted into the fraction 1/3, and is a rational number.
7.478478… is a rational number because it is a non-terminating recurring decimal, meaning the block of numbers 478 is repeating.
For example, 0.123123123. . . is a repeating decimal; the “123” will repeat endlessly. Any repeating decimal is equal to a rational number. For example, 0.123123. . . is equal to 123/999, or 41/333.
For example, 2 ≈ 1.41421 is an irrational number (i.e., it cannot be expressed as a ratio of two integer numbers).
because it has terminating digits after decimal. Hence, 65.4349224 is a rational number.
A recurring decimal is a number in which one or more digits at the end of a number after the decimal point repeats endlessly ( For example, 0.333….., 0.111111…, 0.166666…., etc. are all recurring decimals). Any recurring decimal can be expressed as a fraction of the form p/q and hence it is a rational number.
No , 0.040040004 is not a rational number
So, Non-terminating and Non-repeating are decimals who never ends .
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.
(d) 0.4014001400014... is a non-terminating and non-recurring decimal and therefore is an irrational number.
0.66666 is a rational number with repeating decimals.
The rational numbers are those which have repeating decimal expansions (for example 1/11=0.09090909..., and 1=1.000000... =0.999999...). They are also those which have terminating continued fraction expansions.
No, the square root of 35 is not a rational number since the square root of 35 is 5.9160797831…, where the decimal expansion is non-repeating non-terminating.
∴ Fraction form of the decimal 0.123123....... is 41333.
0.3796 is a rational number because it is a terminating decimal number. 7.478478... is a rational number as it is a non-terminating recurring decimal i.e, the block of numbers 478 is repeating.
So, for example, 0.123123123123…, with 123 repeating forever, is rational (in fact, it is equal to 41/333), whereas something like 0.123456789101112131415…, which will never repeat, is irrational.
Answer and Explanation:
The given number, its decimals are repetitive. Therefore: is a rational number.
Here, the given number is expressed in the form of p/q and has recurring decimal. Hence, -0.6666….. is a rational number.
1.7320508… is an irrational number, while 0.333… is a rational number. Both are irrational numbers.
The decimal 0.75 is a rational number. It can be expressed as the fraction 75/100. By definition, a rational number is any number that results when one integer is divided by another integer. Both 75 and 100 are integers, so 0.75 is a rational number.