Integers are the set of numbers {......-3, -2, -1, 0, 1, 2, 3,........}. The natural numbers can also be represented as integers. It consists of positive integers and negative integers. The positive integers are defined as {1, 2, 3,….} and negative of natural numbers (-1, -2, -3, …..}. Integers can be written without fractions or decimal components. The integers are denoted by the symbol Z. They also consists of countable infinite set.
Integer addition:
Example 1: Add the two Integers.
542, 927
Solution:
542 (addend)
+ 927 (addend)
-----------
1469
-----------
Example 2:
Add the two Integers:
7103, 4916
Solution:
7103 (addend)
+ 4916 (addend)
-------------
12019
-------------
Integer subtraction:
Example 3: Subtract the two Integers.
792 – 489
Solution:
792 (minuend)
- 489 (subtrahend)
---------------
303
---------------
Example 4: Find the subtraction of two Integers.
927635 - 397259
Solution:
927635 (minuend)
- 397259 (subtrahend)
-----------------
530376
------------------
Integer multiplication:
Example 5: Multiply the two integers
43, 2
Solution:
43 (multiplicand)
×2 (multiplier)
-------
86
--------
Example 6: Multiply the two integers
184, 23
Solution:
184
× 23
-----------
552
368
-------------
4232
-------------
Integer division:
Example 7: Divide the two Integers
34 ÷ 2
Solution:
2) 34 (17
2
-----------
14
14
------------
0
-------------
Here 2 is the divisor, 34 is dividend, 17 is quotient and 0 is the remainder.
Example 8: Divide the two Integers:
584 ÷ 4
Solution:
4)584(146
4
--------------
18
16
----------------
24
24
-------------------
0
--------------------
Practice problems:
1. Adding the two integers 781 + 5294.
Answer : 6075
2. Subtracting the two integers 559 – 499.
Answer : 60
3. Multiplying the two integers 58294 × 65.
Answer : 3789110
4. Multiplying the two integers 904 × 94.
Answer : 84976
5. Dividing the two integers 924 ÷ 4.
Answer : 231
6. Dividing the two integers 2349 ÷ 3.
Answer : 783
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