Question

INTEGERS
WAVE WE DISCUSSED?
lection of numbers which is formed by whole numbers and
reintroduced in Class VI.
the earlier eins about the representation of integers on the
ton and subtraction
Satisfied hy addition and subtraction
ed for addition and subtraction both. That is, a + b and
aleger where and bare any integers
tative for integers. Le.. a + b = b + a for all integers
associative for integers, ie (a+b)+c= a + b + c) for all integers
There is the identity under addition. That is, a + 0 = 0 + a = a for every
We studied low integer could be multiplied, and found that product of a positive
and a negative integer is a negative integer, whereas the product of two negative
essa positive integer. For example, -2x7=-14 and -3% - 8 = 24.
Product of even number of negative integers is positive, whereas the product of odd
number of negative integers is negative
6. Integer show some properties under multiplication
(a) Integers are closed under maltiplication. That is, axbis an integer for any two
integers a and
(b) Multiplication is commutative for integers. That is, axb=bxa for any integers
a and b.
(c) The integer I is the identity under multiplication, i.e., 1xa=ax 1 =a for any
Integer
(d) Multiplication is associative for integers. ie.. (axb)xc=axbx c) for any
three integers a, bando
7. Under addicon and multiplication, integers show a properly called distributive prop
erty. That is, ax(+6)xbtaxe for any three integer abando​

Answer 1

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