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Introduction to Types of Numbers

An introduction to types of numbers

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Introduction to Types of Numbers

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  1. presents a lesson in © Afiya Clyne 2019

  2. By Ms.A.Clyne

  3. Types of Numbers • Whole Numbers • Natural/Counting Numbers • Even Numbers • Odd Numbers • Prime Number • Composite Numbers • Rectangle Numbers • Square Numbers • Cube Numbers • Triangle Numbers

  4. WHOLE NUMBERS • This group of numbers is very large. • It includes the number zero (0). • All the other groups of numbers are found in this group . • This group is (infinite/never-ending). It goes on and on. etc

  5. COUNTING NUMBERS • This group contains exactly the same numbers as WHOLE NUMBERS, but it does not have zero (0) in it. • Think about how you count. You start with 1. etc

  6. EVEN NUMBERS , , , • These numbers end with and • You can get them by counting in twos. • They are all divisible by 2. • They leave no remainder when divided by 2. etc

  7. ODD NUMBERS , , , , • These numbers end with • When these numbers are divided by 2. They always leave a remainder of 1. etc

  8. PRIME NUMBERS • This type of number can only be divided by 1 and itself. • A prime number has only two factors -1 and the number itself. • 2 is the only even prime number. • All the other prime numbers are odd. etc

  9. COMPOSITE NUMBERS • These numbers can be divided exactly by 3 or more numbers including itself and 1. • These numbers have more than 2 factors. • If you are not a prime, you’re a composite number. etc

  10. RECTANGLE NUMBERS • These are numbers you can arrange to form a rectangular or square pattern. • It MUST have more than 1 row or column. • The number of dots present is the rectangle number. • It has the same numbers as composite numbers. • Square numbers are also contained in this set of numbers.

  11. Example of rectangle number pattern

  12. SQUARE NUMBERS These numbers occur when you multiply a number by itself. The answer you get when you multiply a number by itself is the square number.

  13. Finding square numbers 12 = 1 x1 = 1 22= 2x2 = 4 32= 3x3 = 9 42= 4x4 = 16 52= 5x5 = 25 62=6x6 = 36 72=7x7 = 49 82=8x8 = 64 92=9x9 = 81 102=10x10 = 100 The purple numbers are square numbers

  14. SQUARE NUMBERS PATTERN

  15. CUBE NUMBERS • These numbers occur when you multiply a number by itself 3 times. • The answer you get when you multiply a number by itself 3 times is the CUBE NUMBER.

  16. Finding cube numbers 13 = 1 x1x1 = 1 23= 2x2x2 = 8 33= 3x3x3=27 43= 4x4x4 = 64 53= 5x5x5 =125 63=6x6x6= 216 73=7x7x7= 343 83=8x8x8= 512 93=9x9x9= 729 103=10x10x10=1000

  17. THE FIBONACCI SEQUENCE • Leonardo Fibonacci or Leonardo of Pisa was an Italian Mathematician. • He discovered a very interesting number pattern, which is now called the Fibonacci sequence. • This pattern could be found in nature and in designs created in ancient civilizations in Africa, Asia, China and many others.

  18. THE FIBONACCI PATTERN The pattern is very easy to make. This is the pattern

  19. How to make the Fibonacci pattern To make the next number in the pattern: Add together the last two numbers. E.g. 2 3 5 8 13 1 1 1+1= 2 1+2=3 2+3= 5 3+5= 8 5+8= 13 21 34 etc 8+13= 21 13+21=34

  20. TRIANGLE NUMBERS You can arrange these number to form triangular patterns with dots

  21. TRIANGLE NUMBER PATTERN

  22. Triangle Pattern - Another Way

  23. TRIANGLE NUMBER PATTERN 1=1 1+2 =3 1+2+3 =6 1+2+3+4 =10 1+2+3+4+5 =15 1+2+3+4+5+6 = 21 1+2+3+4+5+6+7 = 28 1+2+3+4+5+6+7+8 = 36 1+2+3+4+5+6+7+8+9 = 45 1+2+3+4+5+6+7+8+9+10 = 55

  24. Best of Luck Keep Working

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