MATHSLEARNING

 FRACTION  In Mathematics, fractions  are defined as the parts of a whole. The whole can be a number or any specific value or a thing. In other words, it is also termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and lower part is the  denominator . A fraction is a word that is originated from Latin. In Latin, “ Fractus”  means “ broken” . In real life, when we cut a piece of cake from the whole of it, say 1/4th of it, then the portion is the fraction of the cake. Type of Fractions Based on the properties of numerator and denominator, fractions are sub-divided into different types. They are: Proper fractions Improper fractions Mixed fractions Like fractions Unlike fractions Equivalent fractions Proper Fractions The proper fractions are those where the numerator is less than the denominator. For example, 8/9 will be a proper fraction since “numerator < denominator

Sets, Relations and Binary Operations Set Set is a collection of well defined objects which are distinct from each other. Sets are usually denoted by capital letters A, B,C,K and elements are usually denoted by small letters a, b, c,... . If a is an element of a set A, then we write a Î A and say a belongs to A or a is in A or a is a member of A. If a does not belongs to A, we write a ÏA. Standard Notations N : A set of natural numbers. W : A set of whole numbers. Z : A set of integers. Z+ / Z− : A set of all positive/negative integers. Q : A set of all rational numbers. Q+ / Q− : A set of all positive/negative rational numbers. R : A set of real numbers. R+ / R− : A set of all positive/negative real numbers. C : A set of all complex numbers. Methods for Describing a Set (i) Roster/Listing Method/Tabular Form In this method, a set is described by listing element, separated by commas, within braces. e.g. A = {a, e, i, o, u} (ii) Set Builder/Rule Method In this method, we write down a pr

  QUES - My question is that which course I do after 12th because my interest in maths is more rather than science so suggest me the course. ANSWER - If you are a science student then you can do BA COURSES with combinations of mathematics and english or any other language course or your other favourite subject which may be as prefer in ba programme/pass course list and BSC also like maths honours if you are interested in maths.  QUES - If we weak in maths and science the can I handle in11 class. ANSWER - Truely speaking if you are week in maths and science then don't take these subjects because if your not interested to doing this all  don't do it. OR if you have interest  in doing this then you have to definetly try a chance to take these subjects or not then take humanities(arts) this iis also the best career option course and take history,geography,political as main or hindi and english for language purpose gives you high marks opportunity but firtly choose your favourite or

 PLACE VALUE  Place value  is the value of each digit in a number . For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that whilst a digit can be the same, its value depends on where it is in the number. What is place value? Place value is the value of each digit in a number.  For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000.  Often these will just appear with letters on them to represent each position  M illions,  H undred  Th ousands,  T en  Th ousands,  Th ousands, H undreds,  T ens,  O nes,  t enths,  h undredths, and so on. What Is Face Value? The  face value  in Maths is the value of the digit in a number. We know that every number has a digit. Numbers may be of single- digit , two-digit, three-digit, or more than three digits. There are innumerable numbers. Each digit has its place value as well as  face value