Find the number of significant digits in the given number. If an integ..
Find the number of significant digits in the given number. If an integer ends in zeros, assume that the zeros are not significant: 0.0055 => 5 or 1 or 2 or 3..
Significant Figures Introduction
. (v) The thickness of a metal wire is 0.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 after decimal point is not significant. .02 ..
Introduction
.02 cm. The unit of accuracy required is hundredth of a centimeter. Therefore, only digit 2 is significant. The 0 after decimal indicates the magnitude of measurement. Therefore, the 0 after decimal point is not significant. .02 cm has one significant figure...
Summary
1. We use specific number of digits to denote the value of a number to a certain degree of accuracy. 2. For a number between 0 and 1, the successive zeros after the decimal are not significant. 3. For a number w..
Significant Figures Index
Introduction - We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figure..
Steps for factorisation using remainder theorem
By trial and error method, find the factor of the constant for which the given expression becomes equal to zero. Divide the expression by the factor that is determined in step 1. Factorise the quotient. If the quotient is a trinomial, factorise it further. I..
Particular Terms for Positive Integral Index
Particular Terms for Positive Integral Index - Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally this becomes a tedious task, specially when ..
Introduction
>Now let us consider the following. 1. Assume that there is some book 'k' which doesn't fall over i.e., k is the first book which behaves in a different manner. 2. Since k is the first book, the book right before k must have fallen over. 3. But we know from B, a falling book always knocks..
Proof:
When p(x) is divided by x-a, R = p(a) (by remainder theorem) p(x) = (x-a).q(x)+p(a) (Dividend = Divisor x quotient + Remainder Division Algorithm) But p(a) = 0 is given. Hence p(x) = (x-a).q(x) Conversely if x-a is a factor of p(x) then p(a)=0. p(x) = (x-a).q(x) + R If (x-a) is a facto..
When p(x) is divided by x-a, R = p(a) (by remainder theorem) p(x) = (x-a).q(x)+p(a) (Dividend = Divisor x quotient + Remainder Division Algorithm) But p(a) = 0 is given. Hence p(x) = (x-a).q(x) Conversely if x-a is a factor of p(x) then p(a)=0. p(x) = (x-a).q(x) + R If (x-a) is a facto..Sequences and Series Summary
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should b..
) ka, kb, kc are in G.P. (b) a/k, b/k, c/k are in G.P. (x) (a) If the product of three numbers in G.P. is given, then the numbers should be taken as a/r, a, ar. (b) If the product of four numbers in G.P. is given, then the numbers should b.. Result
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