FIBONACC1 N DIVISIBILITY. The explanation of Fibonacci sequence and the diagram of Fibonacci Numbers .pptx
- 1. FIBONACCI NUMBER 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ...
- 2. SPIRAL FROM FIBONACCI NUMBER
- 3. FIBONACCI NUMBER IN NATURE
- 4. PRIME NUMBERS AND COMPOSITE NUMBERS
- 5. The Goldbach Conjecture Stating that every even integer greater than two is the sum of two prime numbers.
- 7. Divisibility Test and Magic Squares Examples; 5 divides 30 Thus 30 = 5 X 6 divisor Thus we write 5 30 What is the difference between 30/5 ?
- 8. Meaning of Divisibility "Divisible By" means "when you divide one number by another the result is a whole number“
- 10. Why do we need to know the divisibility? To make the division procedure easier and quicker.
- 11. Divisibility Rule of 2 Even numbers!
- 12. Divisibility Rule of 3 if the sum of its digits is divisible by 3. Let’s test; 2343 5124 56723 127
- 13. Divisibility Rule of 4 If the last two digits of a number are divisible by 4 then it is divisible by 4 completely. Let’s check; 132 1164 1234 3456 67825
- 14. Divisibility Rule of 5 Which last with digits, 0 or 5 Examples; 10, 15, 220, 355, 4560, 12345
- 15. Divisibility Rule of 6 Numbers which are divisible by both 2 and 3 are divisible by 6. Meaning that we have to double-check! 1. Even numbers and 2. the sum of its digits is divisible by 3
- 16. Divisibility Rule of 7
- 17. Divisibility Rule of 7 Let’s try 1. 546 2. 1454 3. 3724
- 18. Divisibility Rule of 8 If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Let’s check; 24344 78532
- 19. Divisibility Rule of 9 If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9 (same as the divisibility of 3)
- 20. Divisibility Rule of 10 All numbers that end with
- 21. Divisibility Rule of 11 If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely. Sum of digits in odd places – Sum of digits in even places = 0 or a multiple of 11 Let’s try.. 1595, 5016, 23456
- 22. Divisibility Rule of 11 More rules; If a number of digits is even, add the first digit and subtract the last digit from the rest of the number. Example: 3784 Number of digits = 4 Now, 78 + 3 – 4 = 77 = 7 × 11 Thus, 3784 is divisible by 11.
- 23. Divisibility Rule of 11 More rules; If the number of digits of a number is odd, then subtract the first and the last digits from the rest of the number. Example: 82907 Number of digits = 5 Now, 290 – 8 – 7 = 275 × 11 Thus, 82907 is divisible by 11.
- 24. Divisibility Rule of 12
- 25. Divisibility Rule of 13