Integer Length in Math

Introduction:

Definition integer:

Integers are the numbers with either positive or negative sign. Integer includes natural numbers and whole numbers also. Fractions are numbers that does not include in integer. Integer can be represented from negative numbers to positive numbers.

Example   …….-3, -2, -1, 0, 1, 2, 3, ………………

Integer Length in math:

Integer length is the number of digits of an integer. For example consider the number 54876. In this example the length of the given number is 5 since it consists of 5 digits. Integer length is nothing but the number of bits. Integer length is the number of place digits in a given number.

I like to share this Integer Division with you all through my article.

Example of Integer Length


Find the integer length of the number given below.

542316

Solution

Here the number of bits of numbers given is 6. So the integer length of the number 542316 is 6.

There is also the possibility of increase in integer length in math.

In the case of performing arithmetic operations like addition and multiplication the integer length will increase.

Example 1. Find the sum of 548 + 736 and find the integer length of the answer obtained.

Solution

5 4 8
7 3 6 +
----------
1 2 8 4
-------------

Here the length of the integer is 4.

Example 2. Find the product of 578 * 21

Solution:

5 7 8

2 1 *
------------------
5 7 8
1 1 5 6
--------------------
1 2 1 3 8
--------------------

Here the integer length is 5

Example 3. Find the difference 9875 – 2456

Solution:

9 8 7 5

2 4 5 6 -

----------------
7 4 1 9
------------------

Here the integer length is 4


PROBLEMS ON INTEGER LENGTH


Find the integer length of the following problem after performing the given arithmetic operation.

Add a) 5894 + 654
b) 124356+54120

2.  Subtract a)6548-3546

b)7812 - 120

3.  Multiply a) 456*23

b) 1596*324

4.  Divide   a) 625/5

b)1100/11

Answers:

1. a) 4     b)6

2. a) 4     b)4

3. a)5      b)6

4. a)2      b)3