Summary
We use specific number of digits to denote the value of a number to a certain degree of accuracy. For a number between 0 and 1, the successive zeros after the decimal are not significant. For a number with a decimal point..
We use specific number of digits to denote the value of a number to a certain degree of accuracy. For a number between 0 and 1, the successive zeros after the decimal are not significant. For a number with a decimal point..Approximation
We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Numbers can be rounded off to any given place. When we round off a number to any given placeh..
Significant Figures Introduction
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 figures. Suppose a measurement is recorded as 0.6204 cm. It means that the measurem..
Approximation
Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place..
Approximation - We know that the digits of a number, one by one in order from left to right decrease in value rapidly. Let us illustrate it by examples. Mass of a gold ornament is 23.473 g. Round off to (i) two decimal places, (ii) one decimal place..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 num..
Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a principle by..
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a principle by..Geometrical representation of a Complex number, Argand diagram
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That i..
>The absolute values of z 1 , z 2 and z 1 + z 2 are geometrically given by We know that the sum of any two sides of a triangle is greater than the third. Hence, in D ORP, we have with the equality holding only when O, P, Q are lying in a straight line. That i..Introduction
Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by each student...
Let us consider the marks obtained by four students in Physics, Chemistry and Biology for the first unit test. We have represented the data in rows and columns. (i) Rows show the marks obtained by each student. (ii) The columns show the marks in Physics, Chemistry, Biology obtained by each student...Summary
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..
The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by repl..Summary
. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1..
. Pascal's triangle The coefficients of various terms in (a+b) n for different values of n follows the pattern given below: General term For 0 < r < n, T r+1 in the expression of (a + b) n is given by T r+1 = n C r a n-r b r . (r + 1.. Result
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