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© 2007 M. Tallman
The following pattern of subtraction is
     related to a basic math fact: 13 - 6 = 7

            13 - 6 = 7
          130 - 60 = 70
        1300 - 600 = 700
     13,000 - 6,000 = 7,000
   130,000 - 60,000 = 70,000
1,300,000 - 600,000 = 700,000
                      © 2007 M. Tallman
The following pattern of subtraction is
     related to a basic math fact: 15 - 7 = 8

            15 - 7 = 8
          150 - 70 = 80
       1,500 - 700 = 800
     15,000 - 7,000 = 8,000
   150,000 - 70,000 = 80,000
1,500,000 - 700,000 = 800,000
                      © 2007 M. Tallman
1 2                 1 2                 1 2

         500 - 400 = 100

Step 1:          Step 2:                    Step 3:      Step 4:
Find and “box”   Find the                        How many Place the same
the basic        difference of the          zeros are in numbers of zeros
math fact.       basic math fact.           each number? in the difference.
                                © 2007 M. Tallman
1 2 3                        1 2 3

           12, 000 - 5,000
                    1 2 3
                = 7,000
Step 1:          Step 2:        Find Step 3:      Step 4:
Find and “box”   the difference of        How many Place the same
the basic        the basic math      zeros are in numbers of zeros
math fact.       fact.               each number? in the difference.
                                © 2007 M. Tallman
1 2 3                         1 2 3
         10,000 - 5,000
       Tip Do not
      Tip:: Do not                       1 2 3
                         = 5,000
       count the
      count the
       zeros in the
      zeros in the
       basic math
      basic math
       fact.
      fact.


Step 1:          Step 2:        Find Step 3:      Step 4:
Find and “box”   the difference of        How many Place the same
the basic        the basic math      zeros are in numbers of zeros
math fact.       fact.               each number? in the difference.
                                © 2007 M. Tallman
1     2 3 4                       1   2 3 4
      200,000 - 90,000
              1 2 3 4
       Tip Do not
      Tip:: Do not

          = 110000
               ,
       count the
      count the
       zeros in the
      zeros in the
       basic math
      basic math
       fact.
      fact.


Step 1:        Step 2:        Find Step 3:            Step 4:
Find and “box” the difference of        How many        Place the same
the basic math the basic math      zeros are in       numbers of zeros
fact.          fact.               each number?       in the difference.
                              © 2007 M. Tallman
Use what you know about subtraction
  patterns to solve for the unknown variable.
14 - c = 8 c = 6
e - 60 = 80 e = 140
1,400 - 600 = u u = 800
14,000 - v = 8,000 v = 6,000
140,000 - 60,000 = w w = 80,000
k - 600,000 = 800,000 k = 1,400,000
                     © 2007 M. Tallman
Use what you know about subtraction
  patterns to solve for the unknown variable.
11 - 3 = d d = 8
110 - f = 80 f = 30
c - 300 = 800 c = 1,100
11,000 - q = 8,000 q = 3,000
110,000 - 30,000 = j j= 80,000
m - 300,000 = 800,000 m = 1,100,000
                     © 2007 M. Tallman
Subtract mentally.
1.          800 - 300
            =
                                1.   500
2.          900 - 500
            =
                                2.   400
3.          14,000 -            3.   9,000
            5,000 =
4.          900,000 -           4.   600,000
            300,000 =
5.          12,000 -            5.   7,000
            5,000 =
6.          700,000 -           6.   100,000
7.
            600,000 =
            6,000 -
                                7.   2,000
            4,000 =
            © 2007 M. Tallman

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Mathematical subtraction patterns and mental subtraction skills

  • 1. © 2007 M. Tallman
  • 2. The following pattern of subtraction is related to a basic math fact: 13 - 6 = 7 13 - 6 = 7 130 - 60 = 70 1300 - 600 = 700 13,000 - 6,000 = 7,000 130,000 - 60,000 = 70,000 1,300,000 - 600,000 = 700,000 © 2007 M. Tallman
  • 3. The following pattern of subtraction is related to a basic math fact: 15 - 7 = 8 15 - 7 = 8 150 - 70 = 80 1,500 - 700 = 800 15,000 - 7,000 = 8,000 150,000 - 70,000 = 80,000 1,500,000 - 700,000 = 800,000 © 2007 M. Tallman
  • 4. 1 2 1 2 1 2 500 - 400 = 100 Step 1: Step 2: Step 3: Step 4: Find and “box” Find the How many Place the same the basic difference of the zeros are in numbers of zeros math fact. basic math fact. each number? in the difference. © 2007 M. Tallman
  • 5. 1 2 3 1 2 3 12, 000 - 5,000 1 2 3 = 7,000 Step 1: Step 2: Find Step 3: Step 4: Find and “box” the difference of How many Place the same the basic the basic math zeros are in numbers of zeros math fact. fact. each number? in the difference. © 2007 M. Tallman
  • 6. 1 2 3 1 2 3 10,000 - 5,000 Tip Do not Tip:: Do not 1 2 3 = 5,000 count the count the zeros in the zeros in the basic math basic math fact. fact. Step 1: Step 2: Find Step 3: Step 4: Find and “box” the difference of How many Place the same the basic the basic math zeros are in numbers of zeros math fact. fact. each number? in the difference. © 2007 M. Tallman
  • 7. 1 2 3 4 1 2 3 4 200,000 - 90,000 1 2 3 4 Tip Do not Tip:: Do not = 110000 , count the count the zeros in the zeros in the basic math basic math fact. fact. Step 1: Step 2: Find Step 3: Step 4: Find and “box” the difference of How many Place the same the basic math the basic math zeros are in numbers of zeros fact. fact. each number? in the difference. © 2007 M. Tallman
  • 8. Use what you know about subtraction patterns to solve for the unknown variable. 14 - c = 8 c = 6 e - 60 = 80 e = 140 1,400 - 600 = u u = 800 14,000 - v = 8,000 v = 6,000 140,000 - 60,000 = w w = 80,000 k - 600,000 = 800,000 k = 1,400,000 © 2007 M. Tallman
  • 9. Use what you know about subtraction patterns to solve for the unknown variable. 11 - 3 = d d = 8 110 - f = 80 f = 30 c - 300 = 800 c = 1,100 11,000 - q = 8,000 q = 3,000 110,000 - 30,000 = j j= 80,000 m - 300,000 = 800,000 m = 1,100,000 © 2007 M. Tallman
  • 10. Subtract mentally. 1. 800 - 300 = 1. 500 2. 900 - 500 = 2. 400 3. 14,000 - 3. 9,000 5,000 = 4. 900,000 - 4. 600,000 300,000 = 5. 12,000 - 5. 7,000 5,000 = 6. 700,000 - 6. 100,000 7. 600,000 = 6,000 - 7. 2,000 4,000 = © 2007 M. Tallman