Question

what i found challenging the chapter Rational number​

Answer 1

Adding to the difficulty of learning rational number arithmetic are its complex relations to whole number arithmetic. For fractions, when denominators are equal, numerators are added or subtracted as if they were whole numbers, but the common denominator is maintained unchanged (3/5 + 4/5 = 7/5).

Answer 2

To convert  non-terminating recurring decimals in to p/q form is found challenging in rational numbers

 

Rational numbers:

• Rational numbers are the real numbers which can be represented in the form p/q   where p , q are integers  and q ≠ 0
• Rational numbers can be terminating decimal or
• Non terminating recurring decimals
• Examples :  3/4  , 1   , 0.23  ,  $2.1\overline{3}$

Challenging :

• To convert   non terminating recurring decimals in to p/q form

•  like numbers with bar to be converted in p/q form
• For example   :   $0.\overline{2}=\frac{2}9}$
• Adding Rational numbers with different denominator
• Comparing numbers with different denominators

Interesting :

There exist Infinite rational numbers between any two different rational numbers

Note : These answers varies student to student