Integers - Revision Notes
CBSE Class–VII Subject Mathematics Revision Notes CHAPTER – 1 Integers Integers are a bigger collection of numbers which is formed by whole numbers and their negatives. You have studied in the earlier class, about the representation of integers on the number line and their addition and subtraction. We now study the properties satisfied by addition and subtraction. (a) Integers are closed for addition and subtraction both. That is, a + b and a – b are again integers, where a and b are any integers. (b) Addition is commutative for integers, i.e., a + b = b + a for all integers a and b. (c) Addition is associative for integers, i.e., (a + b) + c = a + (b + c) for all integers a, b and c. (d) Integer 0 is the identity under addition. That is, a + 0 = 0 + a = a for every integer a. We studied, how integers could be multiplied, and found that product of a positive and a negative integer is a negative integer, whereas the product of two negative integers is a positive integer. For...
