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Adding signed numbers

  1.  A traveler plans to travel 5 miles due east in day 1, and 2 miles due west in day 2. Find his position relative to the starting point at the end of day 2.
    1) by drawing a diagram.
    2) by adding signed numbers.
     
  2.  A traveler plans to travel 5 miles due west in day 1, and 2 miles due east in day 2. Find his position relative to the starting point at the end of day2.
    1) by drawing a diagram.
    2) by adding signed numbers.
     
  3. Calculate
    a)  (+4) + (+1) b)  (+3) + (+4)
    c)  (+4) + (-2) d)  (+4) + (-6)
    e)  (-5) + (+6) f)  (-3) + (+1)
    g)  (-2) + (-3) h)  (-5) + (-2)

     

  4. Calculate
    a)  (+2) + (+3) + (+4) b)  (+2) + (+3) + (-4)
    c)  (-3) + (+2) + (+1) d)  (-2) + (-3) + (-1)
    e)  (+2) + (-2) + (-3) f)   (-2) + (-3) + (+5)
    g)  (-3) + (-5) + (-2) h)  (+5) + (-7) + (-3)

     

  5. Simplify by removing the addition signs and the positive sign of the the leading term, and then calculate
     
    a)  (+2) + (+3) + (+4) b)  (+2) + (+3) + (-4)
    c)  (-3) + (+2) + (+1) d)  (-2) + (-3) + (-1)
    e)  (+2) + (+4) + (-1) + (-2) f)   (-2) + (-3) + (+1) + (4)
    g)  (+1) + (-3) + (+4) + (-7) h)  (-4) + (+2) + (-5) + (-3)

     

  6. Ben entered a lift on the 15th floor of a building. He went up 2 floors, down 5 floors, down 3 floors, up 2 floors and up 3 floors. On what floor was he at the end of his travel?
     
  7. A traveler plans to travel 5 miles due east in day one, 2 miles due west in day two, 4 miles due west in day three, 3 miles due east in day four and 6 miles in day five.  Find his position relative to the starting point at the end of day five.
    1) by drawing a diagram.
    2) by adding signed numbers.