Tuesday, February 5, 2013

Solutions to Odd Numbered


Introduction – Solutions to odd numbered:
An odd number is an integer number which is not a divisible by 2. Suppose if odd number is divisible by 2 the result will be fraction. 1 is the 1st odd positive number. Another four bigger odd numbers are 3, 5, 7, and 9. We can identify a decimal number is an odd number or not if the last digit is an odd number. Let us see solutions to odd numbered.

More about Odd Number – Solutions to Odd Numbered:

Any one number which is not divisible by 2 that is known as odd number.
While we divide any one number by 2 if it has remainder 1 that number will be an odd number.
The entire odd numbers last digit will be 1, 3, 5, 7 and 9. So we can find very easily that is odd number or not.
Few examples for odd numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29 and 31.
Fundamental operations – Solutions to odd numbered:

Addition Operation:

Operation                    Result                         Example
even + even                  even                            4 + 14 = 18
odd + even                    odd                            3 + 4 = 7
odd + odd                      even                          9 + 9 = 18
Subtraction Operation:

Operation                   Result                         Example
even - even                even                             6 - 2 = 4
odd - even                  odd                             10 - 3 =7
odd - odd                    even                           15 - 5 = 10

Multiplication Operation:

Operation                   Result                         Example
even × even                 even                            4 × 6 = 24
odd × even                   even                           5 × 4 = 20
odd × odd                     odd                            3 × 3 = 9

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Examples – Solutions to Odd Numbered:

Problem 1:

Add: 21 + 25 = 46

Subtract: 55 – 23 = 32

Multiply: 13 * 19 = 247

Divide: `545 / 5` = 109

Problem 2:

The number 31 is odd number. Because the last digit is 1
The number 453 is odd number. Because the last digit is 3
The number 4625 is odd number. Because the last digit is 5
The number 48347 is odd number. Because the last digit is 7

The number 642879 is odd number. Because the last digit is 9

Problem 3:

List all the odd numbers from 30 to 50?

Solution:

The odd number remainder will be 1, while we divide by one.
The numbers from 30 to 50 are 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49 and 50.
From 30 to 50 odd numbers are 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.
Totally ten odd numbers from 30 to 50.

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