Ayush Agarwal Maths

💯👩‍🏫      💯👩‍🏫            💯👩‍🏫         💯👩‍🏫      💯👩‍🏫  Hello friends welcome to ayushagarwal_maths page. Are you preparing for board exams or competitive exams than you are at the right place to enhance your knowledge.                             REAL NUMBERS  Real numbers - Real numbers are the numbers which can be obtained on the number line. Real numbers are denoted by 'R'. They includes Natural numbers, Whole numbers, Integers, Rational numbers, Irrational numbers.  Natural numbers - Natural numbers are the counting and ordering numbers (excluding 0) i.e. N = { 1, 2, 3, 4, 5, .......... } Whole numbers- Whole numbere are collection of natural numbers including zero (0) i.e. W = {0, 1, 2, 3, 4, 5, ........ }  Integers - Integers consist of natural numbers, their negatives and zero i.e. Z = { ....... -3, -2, -1, 0, 1, 2, 3, 4, 5, ........... }  Prime numbers - A prime number is defined as a number that has no factor other than 1 and its

                              Statistics  Meaning-  Statistics means numerical presentation of facts. Statistics is the science of collecting, classifying or organising, interpreting numerical facts(data) from the logical analysis.  Use of Statistics in Education 1. It helps the teacher to provide the accurate description of the child.  2. It enables the teacher to extract general conclusions.  3. Statistics forms the basis of scientific approach to problems of Educational Psychology. 4. It proves useful in number of fields viz. railways, Banks, Army etc.   Collection  - Data collection is a process of gathering information from all the relevant sources to find a solution of the problem.  Sources of collecting of data :- 1. Primary data - Directly from field or experiment. 2. Secondary data -Obtained from pre saved data or review.      Methods of Collection of data 1. Direct personal investigation 2. Observation method 3. Interview method 4. Information through Questionnai

                               EXPONENTS Exponents - An exponent refers to a number that how many times to use the number in a mathematical operation like multiplication, division etc.  Exponents is also termed as power.  Power - An expression that represents repeated multiplication of the same number is called a power. Special cases when the exponent is 0 or 1 :- Case 1.  When the power is 0 a^0 = 1 67^0 = 1 Case 2. When the power is 1  a^1 = a 9^1 = 9                     Laws of Exponents The following identities hold for all integer exponents :- Practice Questions:- 1.Find out the value of (2/5) 3  ?   2.What is the power of a number when squared? 3. Simplify: (3/2) 2  + (2/3) 2  + (5/4) 2 4.  If 4 x  = 64, then 3 2x  = ? 5. Divide x 5  by x 2     Thank you for visiting  Keep sharing  Join us now :-  Instagram