Addition and Subtraction................... 5 Problem

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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
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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 MATH27
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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
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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 MATH29
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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
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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 MATH31
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