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Maths-

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Easy

Question

Check if the number is rational or irrational for 89.402106106106106……..

hint Hint:

Hint:
A rational number is a type of real number, which is in the form of p/q where q is not equal to zero. For a decimal number, if a decimal expansion is a terminating decimal then it is a rational number and if a decimal expansion is non-terminating but a repeating decimal then it is also a rational number but if a decimal expansion is a non-repeating and non-terminating decimal then it is an irrational number.

The correct answer is: 89.402106106106106…….. is a rational number.

89.402106106106106…….. is a non-terminating and repeating decimal and it can be written as . As the given number is a non-terminating and repeating decimal so it will be a rational number.

Related Questions to study

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Find the equivalent fraction for the following decimal number 0.57894736842 and say whether it is a rational number or an irrational number?

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parallel

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𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑙𝑒a𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑜𝑓 $5 over 9 to the power of blank comma 1 over 9$ and $11 over 9$

𝑊ℎ𝑎𝑡 𝑖𝑠 𝑡ℎ𝑒 𝑠𝑢𝑚 𝑜𝑓 𝑡ℎ𝑒 𝑔𝑟𝑒𝑎𝑡𝑒𝑠𝑡 𝑎𝑛𝑑 𝑡ℎ𝑒 𝑙𝑒a𝑠𝑡 𝑛𝑢𝑚𝑏𝑒𝑟𝑠 𝑜𝑓 $5 over 9 to the power of blank comma 1 over 9$ and $11 over 9$

parallel

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