Fractions
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..
Ratio
Ratio is the numerical relationship between two quantities of the same kind. The first quantity is called the antecedent and the second quantity is called the consequent. By performing simple operations on ratios, we get compounded ratio, duplicate ratio, triplic..
Summary
Ratio is the numerical relationship between two quantities of the same kind. The first quantity is called the antecedent and the second quantity is called the consequent. By performing simple operations on ratios, we get compounded ratio, duplicate ratio, triplica..
Ratio and Proportion II Summary
Summary - Ratio is the numerical relationship between two quantities of the same kind. The first quantity is called the antecedent and the second quantity is called the consequent. By performing simple operations on ratios, we get compounded ratio, duplicate ratio, tri..
Ratio
Ratio - Ratio is the numerical relation of one quantity to another of the same kind. To find the ratio of 2 m 25 cm to 75 cm, we first change 2 m 25 cm into cm, which equals 225 cm. Now, we have to find 225 cm to 75 cm ratio is = 3 : 1 We can write the above ratio as (i) 3 : 1 or (ii) or ..
Ratio - Ratio is the numerical relation of one quantity to another of the same kind. To find the ratio of 2 m 25 cm to 75 cm, we first change 2 m 25 cm into cm, which equals 225 cm. Now, we have to find 225 cm to 75 cm ratio is = 3 : 1 We can write the above ratio as (i) 3 : 1 or (ii) or ..Sequences and Series Summary
) A sequence may be described by giving a formula for its n t h term. (iii) A sequence may be described by specifying its first few terms and a formula to determine the other terms of the sequence in terms of its proceeding terms. A sequence is said to be a progression if its terms numerically..
Verification by numerical problems
then show that (A+B)+C = A+(B..
then show that (A+B)+C = A+(B..Note:
Sum to infinity exists only when r is numerically less than 1. i.e. |r|<..
Some Applications of Binomial Theorem for Fractional Index
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. 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 appr..
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. 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 appr..Example:
If x be numerically so small that its cube and higher powers may be neglected, then find the binomial expansions for: i) (1 + 2x) - 4 ..
If x be numerically so small that its cube and higher powers may be neglected, then find the binomial expansions for: i) (1 + 2x) - 4 .. Result
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