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 h..
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 h..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 measurement was made correct to t..
A recurring decimal can be expressed as a fraction
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)..
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)..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..
Matrices and Determinants
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 replacing resp..
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 replacing resp..Significant Figures
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. The difference between these two values is called the absolute error. Absolut..
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, the final zeros ar..
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, the final zeros ar..Properties of Determinants
If the rows and columns of a determinant are inter-changed, the value remains unaltered. If any two rows (columns) of a determinant are identical, its value of the determinant is zero. If any two rows (columns) of a determinant are interchanged, the value of th..
If the rows and columns of a determinant are inter-changed, the value remains unaltered. If any two rows (columns) of a determinant are identical, its value of the determinant is zero. If any two rows (columns) of a determinant are interchanged, the value of th..Mathematical Induction Introduction
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. Mathe..
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. Mathe..Summary
1. A matrix is a rectangular array of numbers, arranged in rows and columns. 2. Order of a matrix = Number of rows in it x Number of columns in it 3. Row matrix is a matrix with only one row. 4. Column matrix is a m..
Result
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