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Numbers and Their Application to Math and Science

Homework for Numbers Lesson 2

Each problem is worth 3 points.

  1. Complete the following addition table:

    +  0   1   2   3   4   5   6   7   8   9   10   11   12 
    0                         
    1                        
    2                        
    3                        
    4                        
    5                        
    6                        
    7                        
    8                        
    9                        
    10                        
    11                        
    12                        

  2. Use the information above to complete the following table about even and odd numbers. Even or Odd should be used to fill in the blanks.

     + EVENODD
    EVEN    
    ODD    

  3. Write out the first 15 Fibonacci Numbers.

     

  4. Consider each Fibonacci Number as either even or odd. What is the pattern? How does this follow from the above even/odd addition table?

     

  5. Find up to five Fibonacci Numbers which are Triangular Numbers.

  6. Find six numbers which satisfy the expression (are congruent to): 1 mod 5.

     

  7. Find the sum of all the integers from 1 to 50, inclusive.

  8. Complete the following multiplication table:

    × 0  1  2  3  4  5  6  7   8  9  10  11  12 
    0                        
    1                        
    2                        
    3                        
    4                        
    5                        
    6                        
    7                        
    8                        
    9                        
    10                        
    11                        
    12                        

  9. Use the information above to complete the following table about even and odd numbers.

     × EVENODD
    EVEN    
    ODD    

  10. Simplify:
           
    1. 9!
    		       
    1. 6! ÷ 3!
    		       
    1. 8! × 8! ÷ (10! × 5!)

  11. Evaluate the sum of the following:
                               
    1.   5
      (k + 2)
      k=0
    		             
    1.   4
      (2k + 3)
      k=2

  12. Bonus: A snail landed at the bottom of a 30 foot well. It climbs up 3 feet every day, but slides back down 2 feet each night. How long will it take the snail to get out of the well?

     

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