The graph shows the number of students studying in grade-6, grade-7 an..
The graph shows the number of students studying in grade-6, grade-7 and grade-8 in a middle school. Which grade has the highest number of h..
Rational and Irrational Numbers Introduction
Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational number..
Introduction - The sets of numbers which every student must remember are: The set of natural numbers N = {1, 2, 3, 4, 5, } The set of whole numbers W = {0, 1, 2, 3, 4, 5,} The set of integers Z = I = {, -3, -2, -1, 0, 1, 2, 3,} The set of rational number..Absolute Error and Percentage Relative Error
Absolute Error and Percentage Relative Error - From the above examples on approximation, we observe that the approximated value may be more or less than the original number. The difference between these two values is called the absolute error. Absolute Error = Original number - ..
Imaginary Number
Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..
Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..Examples:
(1) Let A = {3, 4, 5, 6}, B = {6, 7, 8} and C = {8, 9, 7}. Then ..
(1) Let A = {3, 4, 5, 6}, B = {6, 7, 8} and C = {8, 9, 7}. Then ..Suggested answer:
Factors of 3a are 1, a, 3, 3a . Divide 3a 3 ,-6a 2 and 3a by 3a, we get HCF is one factor and the quotient is the other factor. ..
Factors of 3a are 1, a, 3, 3a . Divide 3a 3 ,-6a 2 and 3a by 3a, we get HCF is one factor and the quotient is the other factor. ..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. 23.473 g = (2 x 10) + (3 x 1) + The successive digits ..
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. 23.473 g = (2 x 10) + (3 x 1) + The successive digits ..Some properties of Addition and Subtraction of Matrices
2b = 8 b = 4 7c = -28 c = -4. Ans: a = 7, b = 4, c = -..
2b = 8 b = 4 7c = -28 c = -4. Ans: a = 7, b = 4, c = -..Sub-triplicate Ratio:
Sub-duplicate ratio of x 4 y 6 : 81a 4 = x 2 y 3 : 9a 2 Triplicate ratio of 3a : 2xy 2 = (3a) 3 : (2xy 2 ) 3 = 27a 3 : 8x 3 y 6 Sub-triplicate ratio of 64x 3 y 9 : 343b 3 = 4xy 3 : 7b Compounded ratio = 3a : 14 b Ans: 3a : 14..
Sub-duplicate ratio of x 4 y 6 : 81a 4 = x 2 y 3 : 9a 2 Triplicate ratio of 3a : 2xy 2 = (3a) 3 : (2xy 2 ) 3 = 27a 3 : 8x 3 y 6 Sub-triplicate ratio of 64x 3 y 9 : 343b 3 = 4xy 3 : 7b Compounded ratio = 3a : 14 b Ans: 3a : 14..Degree and Types of Polynomials
In case of a polynomial of one variable the highest power of the variable is called the degree of the polynomial. 3y-7y 3 has degree 3 and..
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