fraction number line

Fraction is an equal part of one whole object. Fraction can be represented as " p/q " where 'p' denotes the value called numerator and 'q' denotes the value called denominato..

A Proper fraction has its numerator less than its denominator. An Improper fraction has its numerator greater than its denominator. A Mixed fraction consists of two parts, one is an integer and the other a proper fraction. Vulgar fraction i..

The General Term for Fractional Index is:..

Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides w..

A recurring decimal is denoted by placing dots or a bar over recurring digits. Express the following recurring decimals as equivalent fractions: (a) (b) (c) (a) Let x = 0.4444 Multiply both sides by 10 ( one digit is recurring)..

Some particular expansions for Fractional Index - For n Q, we hav..

For n Q, we have: ..

For n Q, we hav..

Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (1+x) n . This can be done by expanding (1+x) n to certain terms and then locating the required term. Generally this becomes a tedious task. In such cases, we begin by evaluating the general..

If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4 ,. are all approximately zer..