__Objectives:__

At the end of this lesson, students should be able to,

- Identify odd, even, prime, composite, square and triangular numbers.
- Determine the sum, difference and product of odd and even numbers.

When we talk of properties of numbers, we refer to whether the number is odd, even, prime, square etc.

__SOME DEFINITIONS:__

**ODD NUMBERS**: These are numbers that always leave a remainder when divided by 2.

Odd numbers are not seen in the two times table. **They end in 1, 3, 5, 7 or 9. **

**Example**s are 1, 3, 5, 7, 9, 11, 13, 15, 45, 127, 2369, 33033, 101, 815, 24519, 6000003, etc.

**EVEN NUMBERS**: These are numbers that do not have a remainder when divided by 2.

Even numbers are numbers in the two times table. **They end in 2, 4, 6, 8 or 0.**

Examples are 2, 4, 6, 8, 10, 12, 14, 16, 46, 932, 10258, 5620, 102004, 756148, etc.

__Unit 4 Lesson 1: Exercise 1__

__Try these,__

- Write the odd numbers between 500 and 550
- What are the even numbers between 700 and 750?
- Write two odd numbers between 359 and 400.
- Is 906,103 even or odd?
- Is one hundred million, seventy seven thousand and seven even or odd?
- Is six hundred and seventy eight thousand odd or even?
- 1,809,700 is even, true or false?
- Which of these numbers is even, 2,561,303 and 6,603,006?
- Write down all the even numbers, 26315, 26506, 12554, 31255, and 20080.
- Write down all the odd numbers, 46213, 49356, 96001, 75042 and 90651.

__Unit 4 Lesson 1: Exercise 2__

__Now try these__

- Use the digits above to make 4 six digit odd numbers without repeating any digit.
- Make 4 six digit even numbers using the digits above without repeating any of the digits.
- Use 6, 4, 7 and 5 to make six 3 digit odd numbers.
- Use 5, 1, 0, and 6 to make six 3 digit even numbers.
- Put all the digits together to make three odd numbers ending in 7.

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