Addition with Regrouping

Addition and Subtraction . . . . . . . . . . . . . . . . . . . 5 Problem Solving: Addition and Subtraction Basic Facts . . . . . . . . . . . . . . . ....
Author: Gregory Gordon
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Addition and Subtraction . . . . . . . . . . . . . . . . . . . 5 Problem Solving: Addition and Subtraction Basic Facts . . . . . . . . . . . . . . . . . . . . 6 Sums Greater than 10 . . . . . . . . . . . . . . . . . . . . . . . 7 Addition Facts to 18 . . . . . . . . . . . . . . . . . . . . . . . . . 8 Order in Addition . . . . . . . . . . . . . . . . . . . . . . . . . . . 9

10 Problem Solving: Addition Basic Facts . . . . . . . 11 Inverses: Addition and Subtraction . . . . . . . . . . 12 Subtraction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Subtraction Facts to 18 . . . . . . . . . . . . . . . . . . . . . 14 Problem Solving: Subtraction Basic Facts . . . . 15 Place Value: Tens and Ones. . . . . . . . . . . . . . . . . 16 Comparing Two-Digit Numbers . . . . . . . . . . . . . 17 Place Value: Hundreds . . . . . . . . . . . . . . . . . . . . . 18 Place Value: Thousands . . . . . . . . . . . . . . . . . . . . 19 Adding Three Numbers . . . . . . . . . . . . . . . . . . .

Comparing Three- and Four-Digit Numbers . . . . . . . . . . . . . . . . . . . . .

20 Problem Solving: Comparing Numbers . . . . . . 21 Two-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . 22 Two-Digit Subtraction . . . . . . . . . . . . . . . . . . . . . 23 Two-Digit Addition and Subtraction . . . . . . . 24 Problem Solving: Two-Digit Addition and Subtraction . . . . . . . . . . . . . . . .

25 Addition with Regrouping . . . . . . . . . . . . . . . . . 26 More Addition with Regrouping . . . . . . . . . . . . 27 Subtraction with Regrouping. . . . . . . . . . . . . . . 28 More Subtraction with Regrouping . . . . . . . . . 29 Checking Addition and Subtraction . . . . . . . . 30 Problem Solving: Addition and Subtraction with Regrouping . . . . . . . . . . . . . . 31

32 Three-Digit Addition with Regrouping . . . . . . 33 Three-Digit Addition and Subtraction . . . . . . More Three-Digit Addition with Regrouping . . . . . . . . . . . . . . . . . . . . . . . .

34 Problem Solving: Three-Digit Addition . . . . . 35 Three-Digit Subtraction with Regrouping . . . 36 More Three-Digit Subtraction with Regrouping . . . . . . . . . . . . . . . . . . . . . . . . Problem Solving: Three-Digit Subtraction . .

37 38

39 Introduction to Multiplication . . . . . . . . . . . . . 40 Multiplication Facts for 2 and 3 . . . . . . . . . . . . . 41 Multiplication Facts for 4 and 5 . . . . . . . . . . . . 42 Multiplication Facts to 45 . . . . . . . . . . . . . . . . . 43 Order in Multiplication . . . . . . . . . . . . . . . . . . . . 44 Three-Digit Addition and Subtraction . . . . . .

Problem Solving: Multiplication Facts to 45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

45 Introduction to Division . . . . . . . . . . . . . . . . . . . 46 Division and Multiplication. . . . . . . . . . . . . . . . 47 Division by 2 and 3 . . . . . . . . . . . . . . . . . . . . . . . 48 Division by 4 and 5 . . . . . . . . . . . . . . . . . . . . . . . 49 Division with Remainders . . . . . . . . . . . . . . . . . 50 Problem Solving: Division Facts to 45 . . . . . . . 51 Multiplication Facts for 6 and 7 . . . . . . . . . . . . 52 Multiplication Facts for 8 and 9 . . . . . . . . . . . . 53 Division by 6 and 7 . . . . . . . . . . . . . . . . . . . . . . . 54 Division by 8 and 9 . . . . . . . . . . . . . . . . . . . . . . . 55 Division Facts to 81 . . . . . . . . . . . . . . . . . . . . . . . 56 Multiplication and Division. . . . . . . . . . . . . . . . 57 Problem Solving: Multiplication and Division Basic Facts . . . . . . . . . . . . . . . . .

58 Place Value: Large Numbers . . . . . . . . . . . . . . . 59 Comparing Large Numbers . . . . . . . . . . . . . . . . 60 Four-Digit Addition . . . . . . . . . . . . . . . . . . . . . . . . 61 More Four-Digit Addition . . . . . . . . . . . . . . . . . . 62 Four-Digit Subtraction . . . . . . . . . . . . . . . . . . . . . 63 More Four-Digit Subtraction . . . . . . . . . . . . . . . 64 Problem Solving: Four-Digit Addition and Subtraction . . . . . . . . . . . . . . . . Multiplying with 10 and 100 . . . . . . . . . . . . . . Multiplying with Multiples of 10 and 100. . . One-Digit Multiplication . . . . . . . . . . . . . . . . . . Multiplication with Regrouping . . . . . . . . . . . .

65 66 67 68 69 70

More Multiplication with Regrouping . . . . . . . Problem Solving: Multiplication with Regrouping . . . . . . . . . . . . . . . . . . . . . . . . . 71 Extending Multiplication with Regrouping . . Problem Solving: More Multiplication with Regrouping . . . . . . . . . . . . . . . . . . . . . . . .

72 73

102 Subtraction of Mixed Numbers. . . . . . . . . . . . 103

74

Addition of Mixed Numbers. . . . . . . . . . . . . . .

75 Dividing Multiples of 10. . . . . . . . . . . . . . . . . . . . 76 One-Digit Division. . . . . . . . . . . . . . . . . . . . . . . . . 77 More One-Digit Division. . . . . . . . . . . . . . . . . . . 78 Problem Solving: One-Digit Division. . . . . . . . 79 Extending Division.. . . . . . . . . . . . . . . . . . . . . . . . 80 More Extending Division. . . . . . . . . . . . . . . . . . . . 81 Problem Solving: More One-Digit Division. . . 82 Problem Solving: Averages.. . . . . . . . . . . . . . . . . 83 Multiplying by Tens. . . . . . . . . . . . . . . . . . . . . . . . 84 Multiplying with Multiples of 10. . . . . . . . . . . . 85 Two-Digit Multiplication.. . . . . . . . . . . . . . . . . . . 86 More Two-Digit Multiplication. . . . . . . . . . . . . . 87 Problem Solving: Two-Digit Multiplication. . . 88 Factors. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 Multiples. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 Fractions: Regions.. . . . . . . . . . . . . . . . . . . . . . . . . . 91 Fractions: Sets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 Fractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Addition of Like Fractions. . . . . . . . . . . . . . . . . . 94 Subtraction of Like Fractions.. . . . . . . . . . . . . . . 95 Addition and Subtraction of Like Fractions.. 96

Addition and Subtraction of Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . . Problem Solving: Addition and Subtraction of Mixed Numbers. . . . . . . . . . .

Extending Multiplication with Regrouping. . . Problem Solving: More Multiplication with Regrouping. . . . . . . . . . . . . . . . . . . . . . . . .

Problem Solving: Addition and Subtraction of Like Fractions. . . . . . . . . . . . . .

97 Fractional Part of a Set. . . . . . . . . . . . . . . . . . . . . 98 Equivalent Fractions.. . . . . . . . . . . . . . . . . . . . . . . 99 Equivalent Fractions.. . . . . . . . . . . . . . . . . . . . . . 100 Mixed Numbers. . . . . . . . . . . . . . . . . . . . . . . . . . 101

104

105 Time—Hours and Minutes.. . . . . . . . . . . . . . . . 106 Measures of Time. . . . . . . . . . . . . . . . . . . . . . . . . 107 Lines and Line Segments. . . . . . . . . . . . . . . . . . 108 Angles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 Parallel and Perpendicular Lines. . . . . . . . . . . 110 Polygons. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 Quadrilaterals: Rectangles and Squares.. . . . . 112 1 Measuring Length to Nearest ​    ​ Inch. . . . . . . 113 4 Length—Inch and Foot. . . . . . . . . . . . . . . . . . . . . 114 Length—Foot, Yard, and Mile. . . . . . . . . . . . . . . 115 Capacity—Cup, Pint, Quart, and Gallon. . . . 116 Weight—Ounce and Pound. . . . . . . . . . . . . . . . . 117 Problem Solving: Customary Units. . . . . . . . . . 118 Measuring Length to 1 Nearest ​    ​ Centimeter. . . . . . . . . . . . . . . . . . . . 119 2

120 Length—Meter and Kilometer. . . . . . . . . . . . . . . 121 Capacity—Milliliter and Liter. . . . . . . . . . . . . . 122 Mass—Gram and Kilogram. . . . . . . . . . . . . . . 123 Problem Solving: Metric Units. . . . . . . . . . . . . 124 Perimeter. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 Perimeter—Rectangles. . . . . . . . . . . . . . . . . . . . . 126 Area. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 Volume. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 128 Length—Centimeter and Meter. . . . . . . . . . . .

Addition with Regrouping Add the ones. Regroup 10 ones as 1 ten. Then add the tens. S

Tens Ones 1

3  8 2  4   2  3.

Tens Ones 1

 4.

1

1

19 2 3 42

12.

29 5 5 84

17.

63 2 8 91

1

1

Tens Ones

 5.

1

48 3 6 84

13.

54 3 7 91

18.

17 6 5 82

1

1

1

Tens Ones

 6.

1

75 1 5 90

14.

19 2 7 46

19.

24 3 9 63

1

1

Tens Ones 1

2  7 4  8 7  5

 9.

Tens Ones

7  8 1  2 9  0

1

3  1 3  9 7  0

 8.

 2.

5  6 1  5 7  1

1

4  6 1  7 6  3

Tens Ones 1

3  8 2  4 6  2

Tens Ones

 7.

 1.

6  6 2  6 9  2

1

10.

26 5 7 83

15.

65 2 8 93

20.

38 1 8 56

1

1

1

11.

19 3 9 58

16.

37 3 7 74

21.

45 2 5 70

1

1

Find the answer to each word problem. 22. Sandy tied up 16 old magazines to

23. Marvin collected 45 clear glass bottles to

recycle. Then she tied up 19 more magazines in a bundle. How many magazines did she tie up in all?

26

recycle. He collected 28 brown glass bottles. How many glass bottles did Marvin collect in all?

PRACTiCE EXERCiSES iN BASiC MATH © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

More Addition with Regrouping Add.  1.

Tens Ones

 2.

Tens Ones

1

1

1  9 4  2 6  1 1

 5.

67 2 8 95

10.

49 4 9 98

15.

17 5 3 70

1

1

 3.

1

19 4 4 63

11.

28 5 2 80

16.

35 1 8 53

1

1

 4.

1

2  4 2  8 5  2  6.

Tens Ones

1

2  7 3  6 6  3 1

 7.

38 5 3 91

12.

 6 1 6 22

17.

49 2 1 70

1

1

Tens Ones

5  6 3  9 9  5 1

 8.

24 4 6 70

13.

55 1 5 70

18.

58 3 6 94

1

1

1

 9.

83  9 92

14.

25 3 7 62

19.

38 2 9 67

1

1

Find the answer to each word problem. 20. Miss Lang drives 16 kilometers to work

21. Len solved 32 addition problems and

and 16 kilometers home each day. How far does she drive each day?

39 subtraction problems. How many problems did he solve?

22. Arlo read 36 pages of a book before lunch.

He read another 47 pages after lunch. How many pages did he read today?



23. Danica did 45 jumping jacks. She rested

a few minutes and then did 45 more jumping jacks. How many jumping jacks did she do it all?

PRACTiCE EXERCiSES iN BASiC MATH 27 © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

Subtraction with Regrouping Subtract the ones. Then subtract the tens. S

Tens Ones 4   12

5  2 22  8   4  3.

Tens Ones 4   12

 4.

Tens Ones

3 13

35 21 6 19

12.

91 26 3 28

17.

8  11

4  18

58 23 9 19

 5.

7 15

13.

18.

3  10

40 22 8 12

8 10

5  13

63 24 6 17 2  12

32 21 4 18

Tens Ones

 6.

14.

19.

1  16

26 2 7 19

3  15

45 21 9 26

6  10

70 22 5 45

10.

15.

20.

Tens Ones 4 10

7  2 23  6 3  6

 9.

Tens Ones

9  0 21  5 7  5

6 12

8  5 25  7 2  8

 8.

 2.

6  4 21  9 4  5

4  3 22  5 1  8

2  15

Tens Ones 5 14

5  2 22  8 2  4

Tens Ones

 7.

 1.

5  0 23  1 1  9

4  12

52 23 9 13 7  12

82 24 3 39 5  14

64 24 8 16

11.

16.

21.

5  13

63 25 4 9 6  11

71 25 5 16 7  17

87 22 9 58

Find the answer to each word problem. 22. A group of 21 people went on a hike.

23. The hikers saw a total of 60 deer on the

There were 18 hiking club members. The rest were guests. How many guests went on the hike?

28

hike. Of them, 27 were fawns. How many adult deer were there?

PRACTiCE EXERCiSES iN BASiC MATH © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

More Subtraction with Regrouping Subtract.  1.

Tens Ones

 2.

Tens Ones

7 16

4 14

8  6 25  8 2  8 3  10

 5.

40 22 7 13

10.

93 23 4 59

15.

8  13

1  18

28 21 9 9

 3.

11.

16.

8  11

91 25 6 35 6  14

74 24 7 27 5  12

62 23 3 29

 4.

8 11

5  4 24  9   5  6.

Tens Ones

2 12

9  1 23  4 5  7  7.

12.

17.

2  15

35 2 7 28 7  11

81 27 3 8 2  14

34 21 5 19

 8.

13.

18.

Tens Ones

3  2 21  6 1  6 7  14

84 23 9 45 4  15

55 21 8 37

3  13

43 22 6 17

 9.

14.

19.

1  12

22 21 4 8 3  10

40 21 5 25

8  10

90 24 6 44

Find the answer to each word problem. 20. Keith is 12 years old. His dad is 41 years

old. How much older is Keith’s dad than Keith?

22. A jar holds 48 ounces of peanut butter.

Shiro uses 9 ounces to make some sandwiches. How much is left in the jar?



21. Pat folded 64 paper cranes. She gave all

but 16 away. How many did she give away?

23. A sleeping bag regularly costs $83. It is

on sale for $57. How much less does it cost on sale?

PRACTiCE EXERCiSES iN BASiC MATH 29 © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

Checking Addition and Subtraction Add down. Check your answer by adding up.  1.

32 14 12 3 69

 4.

41 27 12 8 96

32 14 12 3 69

 2.

 5.

55 24 11 6 95

17 56 11 3 86

 6.

55 24 11 6 95

24 38 12 3 85

 3.

 7.

36 19 14 3 98

28 32 12 7 87

28 32 12 7 87  8.

65 7 11 4 86

Subtract. Check your answer by adding.

S

13.

5  14

64 22 8 1  36 64 7  12

82 25 4 28

 9.

14.

8  13

93 27 6 17

5  11

61 22 7 34

10.

15.

6  11

71 24 5 26

1  13

23 2 9 14

11.

16.

4  10

50 21 8 32

3  12

42 21 6 26

12.

17.

7  15

85 23 9 46

8  10

90 23 3 57

Add or subtract. Check your answer.

18.

23.

1  

18 14 9 67 3  10

40 22 4 16

30

19.

24.

6  13

73 23 5 38 1 

22 16 8 90

20.

25.

3  15

45 22 7 18 1 

39 13 4 73

21.

26.

1  

58 13 6 94 8  11

91 25 6 35

PRACTiCE EXERCiSES iN BASiC MATH © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

22.

27.

7  12

82 25 9 23 1

17 12 8 45

Problem Solving: Addition and Subtraction with Regrouping Find the answer to each word problem. Check your answer. 1. Mr. Torres paid $92 for a coat. Later, the

2. There were 28 people on a bus. At the

coat went on sale for $75. How much could Mr. Torres have saved by waiting for the sale?

next stop, 16 more people got on. How many people were on the bus then?

3. Keshia made 45 cupcakes for a bake sale.

Loretta made 35 cupcakes, and Jolene made 15 cupcakes for the sale. How many cupcakes did they make in all?

5. There are 31 days in August. Corey rode

are 39 cars parked there already. How many more cars can park in the lot?

6. Matt sold 13 tickets to the hobby show.

her horse 15 of those days. How many days in August did she not ride her horse?

7. A box of crayons has 96 colors in it.

Kim sold 9 tickets. How many tickets did they sell altogether?

8. Mr. Hanes pays $54 for an adult ticket to

Emmett uses 27 colors when he draws a picture. How many colors does he not use?



4. A parking lot has space for 53 cars. There

the ice show and $27 for a child’s ticket. How much do the two tickets cost in all?

PRACTiCE EXERCiSES iN BASiC MATH 31 © The Continental Press, Inc.   DUPLICATING THIS MATERIAL IS ILLEGAL.

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