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Number Systems

Short Answer Type

51. Find one irrational number between the numbers a and b given below:

a = 0.1111 ........ =

0. top enclose 1

b = 0.1101.

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52. Find two rational numbers in the form

straight p over straight q

between 0.34 344 3444 34444 3 ...... and 0.36 366 3666 36666 3......

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53. Express

5. top enclose 347

in the form

straight p over straight q

where p and q are integers and q ≠ 0.

166 Views

54.

Express $0. top enclose 001$ in the form of $straight p over straight q$ where p and q are integers and q ≠ 0.

306 Views

55. Express

5. top enclose 2

in the form of

straight p over straight q comma

where p and q are integers and q ≠ 0.

138 Views

56. How many irrational numbers lie between

square root of 2

and

square root of 3 ?

Find any three irrational numbers lying between

square root of 2

and

square root of 3.

230 Views

57. Find two irrational numbers between $1 over 7$ and $2 over 7.$

One irrational number is $square root of 1 over 7 cross times 2 over 7 end root equals fraction numerator square root of 2 over denominator 7 end fraction$

Another irrational number is $square root of 1 over 7 cross times fraction numerator square root of 2 over denominator 7 end fraction end root equals 2 to the power of begin display style 1 fourth end style end exponent over 7.$