Solving with Parenthesis Name: Answers › uploads › 9 › 6 › 0 › ...5 6 Math Math 11-20 Name:Solving with Parenthesis Answers 1-10 95 90 85 80 75 70 65 6055 50 45 40 35 30

21Math www.CommonCoreSheets.com

Name:

Answers

Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

1) (70 ÷ 10) - 2 = 5 (7) - 2

2) (6 + 10) × 6 = 96 (16) × 6

3) (16 - 15) × 4 = 4 (1) × 4

4) (9 × 10) ÷ 8 = 11 r2 (90) ÷ 8

5) (1 + 5) + 2 = 8 (6) + 2

6) (35 ÷ 7) × 6 = 30 (5) × 6

7) (8 × 9) + 4 = 76 (72) + 4

8) (10 × 9) - 82 = 8 (90) - 82

9) (7 × 8) × 10 = 560 (56) × 10

10) (15 - 4) - 4 = 7 (11) - 4

11) (13 - 1) + 1 = 13 (12) + 1

12) (20 ÷ 2) + 10 = 20 (10) + 10

13) (40 - 4) ÷ 6 = 6 (36) ÷ 6

14) (3 + 5) ÷ 2 = 4 (8) ÷ 2

15) (9 + 6) - 3 = 12 (15) - 3

30 560 20 7 5

6 96 8 11 r2 4

76 8 12 13 4

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Solving with ParenthesisSolve each of the problems.

1 Math www.CommonCoreSheets.com

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Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

1) (10 × 9) × 7 = 630 (90) × 7

2) (20 ÷ 5) × 2 = 8 (4) × 2

3) (6 ÷ 2) - 1 = 2 (3) - 1

4) (46 - 16) ÷ 10 = 3 (30) ÷ 10

5) (16 - 6) - 2 = 8 (10) - 2

6) (4 × 10) ÷ 3 = 13 r1 (40) ÷ 3

7) (6 + 9) × 4 = 60 (15) × 4

8) (48 ÷ 6) + 6 = 14 (8) + 6

9) (4 × 2) - 5 = 3 (8) - 5

10) (5 × 10) + 15 = 65 (50) + 15

11) (11 + 3) ÷ 2 = 7 (14) ÷ 2

12) (2 - 1) × 9 = 9 (1) × 9

13) (2 + 5) - 3 = 4 (7) - 3

14) (13 - 7) + 6 = 12 (6) + 6

15) (2 + 9) + 7 = 18 (11) + 7

12 65 630 18 3

7 9 8 60 4

8 2 13 r1 3 14

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Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

1) (6 ÷ 2) + 9 = 12 (3) + 9

2) (1 + 13) ÷ 2 = 7 (14) ÷ 2

3) (6 + 10) + 6 = 22 (16) + 6

4) (40 ÷ 5) × 2 = 16 (8) × 2

5) (7 × 2) - 3 = 11 (14) - 3

6) (6 + 7) × 7 = 91 (13) × 7

7) (24 ÷ 8) - 1 = 2 (3) - 1

8) (3 × 4) + 3 = 15 (12) + 3

9) (50 - 10) ÷ 4 = 10 (40) ÷ 4

10) (1 + 7) - 8 = 0 (8) - 8

11) (15 - 7) - 4 = 4 (8) - 4

12) (2 - 1) × 10 = 10 (1) × 10

13) (14 - 5) + 6 = 15 (9) + 6

14) (6 × 10) ÷ 9 = 6 r6 (60) ÷ 9

15) (3 × 7) × 7 = 147 (21) × 7

91 4 7 15 22

16 6 r6 15 10 12

147 11 10 2 0

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1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 77 + ( 83 + 15 ) 77 + ( 98 ) = 175

2) ( 65 - 9 ) + 97 ( 56 ) + 97 = 153

3) 7 × ( 14 - 4 ) 7 × ( 10 ) = 70

4) ( 47 + 11 ) ÷ 4 ( 58 )÷ 4 = 14 r2

5) ( 21 ÷ 7 ) - 3 ( 3 ) - 3 = 0

6) ( 4 × 8 ) + 70 ( 32 ) + 70 = 102

7) 19 + ( 30 ÷ 3 ) 19 + ( 10 ) = 29

8) 186 - ( 50 + 57 ) 186 - ( 107 ) = 79

9) 133 - ( 2 × 8 ) 133 - ( 16 ) = 117

10) 18 + ( 93 - 62 ) 18 + ( 31 ) = 49

11) ( 9 + 2 ) × 4 ( 11 ) × 4 = 44

12) 26 ÷ ( 9 - 6 ) 26 ÷ ( 3 ) = 8 r2

13) 645 - ( 69 - 1 ) 645 - ( 68 ) = 577

14) ( 59 + 17 ) + 90 ( 76 ) + 90 = 166

15) ( 86 - 73 ) × 2 ( 13 ) × 2 = 26

16) 22 + ( 8 × 8 ) 22 + ( 64 ) = 86

17) ( 83 - 19 ) ÷ 4 ( 64 )�÷ 4 = 16 r0

18) ( 7 × 5 ) ÷ 3 ( 35 )÷ 3 = 11 r2

19) 3 × ( 7 + 3 ) 3 × ( 10 ) = 30

20) 58 ÷ ( 8 + 2 ) 58 ÷ ( 10 ) = 5 r8

1. 175

2. 153

3. 70

4. 14 r2

5. 0

6. 102

7. 29

8. 79

9. 117

10. 49

11. 44

12. 8 r2

13. 577

14. 166

15. 26

16. 86

17. 16 r0

18. 11 r2

19. 30

20. 5 r8

Solving with ParenthesisSolve each problem.

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Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 10 × ( 5 + 10 ) 10 × ( 15 ) = 150

2) 3 × ( 42 ÷ 6 ) 3 × ( 7 ) = 21

3) ( 24 ÷ 3 ) × 5 ( 8 ) × 5 = 40

4) ( 44 - 4 ) - 28 ( 40 ) - 28 = 12

5) ( 2 + 5 ) × 10 ( 7 ) × 10 = 70

6) ( 31 + 9 ) + 99 ( 40 ) + 99 = 139

7) ( 19 + 77 ) - 72 ( 96 ) - 72 = 24

8) ( 54 ÷ 6 ) + 31 ( 9 ) + 31 = 40

9) ( 7 × 2 ) ÷ 5 ( 14 )÷ 5 = 2 r4

10) 227 - ( 96 - 43 ) 227 - ( 53 ) = 174

11) 67 - ( 21 ÷ 3 ) 67 - ( 7 ) = 60

12) ( 95 - 90 ) + 99 ( 5 ) + 99 = 104

13) 14 + ( 74 - 56 ) 14 + ( 18 ) = 32

14) ( 74 + 23 ) ÷ 3 ( 97 )÷ 3 = 32 r1

15) ( 7 × 7 ) - 10 ( 49 ) - 10 = 39

16) ( 91 - 2 ) ÷ 8 ( 89 )�÷ 8 = 11 r1

17) 9 × ( 3 × 10 ) 9 × ( 30 ) = 270

18) 32 ÷ ( 5 + 5 ) 32 ÷ ( 10 ) = 3 r2

19) 9 × ( 52 - 14 ) 9 × ( 38 ) = 342

20) 15 + ( 34 + 8 ) 15 + ( 42 ) = 57

1. 150

2. 21

3. 40

4. 12

5. 70

6. 139

7. 24

8. 40

9. 2 r4

10. 174

11. 60

12. 104

13. 32

14. 32 r1

15. 39

16. 11 r1

17. 270

18. 3 r2

19. 342

20. 57



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Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 9 × ( 3 × 5 ) 9 × ( 15 ) = 135

2) 330 - ( 40 - 7 ) 330 - ( 33 ) = 297

3) ( 39 + 97 ) + 45 ( 136 ) + 45 = 181

4) ( 9 + 2 ) × 4 ( 11 ) × 4 = 44

5) ( 45 ÷ 5 ) × 9 ( 9 ) × 9 = 81

6) ( 5 × 8 ) ÷ 2 ( 40 )÷ 2 = 20 r0

7) 79 + ( 82 + 93 ) 79 + ( 175 ) = 254

8) ( 2 × 2 ) + 51 ( 4 ) + 51 = 55

9) ( 99 - 94 ) - 4 ( 5 ) - 4 = 1

10) ( 7 × 2 ) ÷ 2 ( 14 )÷ 2 = 7 r0

11) ( 9 × 4 ) - 10 ( 36 ) - 10 = 26

12) 4 × ( 12 ÷ 6 ) 4 × ( 2 ) = 8

13) 543 - ( 5 × 6 ) 543 - ( 30 ) = 513

14) 44 - ( 20 ÷ 10 ) 44 - ( 2 ) = 42

15) 28 + ( 90 - 42 ) 28 + ( 48 ) = 76

16) 27 ÷ ( 8 - 3 ) 27 ÷ ( 5 ) = 5 r2

17) ( 53 - 17 ) ÷ 8 ( 36 )�÷ 8 = 4 r4

18) 23 ÷ ( 4 + 5 ) 23 ÷ ( 9 ) = 2 r5

19) 594 - ( 28 + 21 ) 594 - ( 49 ) = 545

20) ( 32 ÷ 8 ) - 3 ( 4 ) - 3 = 1

1. 135

2. 297

3. 181

4. 44

5. 81

6. 20 r0

7. 254

8. 55

9. 1

10. 7 r0

11. 26

12. 8

13. 513

14. 42

15. 76

16. 5 r2

17. 4 r4

18. 2 r5

19. 545

20. 1


3

87

Modified 1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) Find the product of 2 and 5and then divide 33 ÷ (2 × 5)(5 × 3) ÷ 2(2 × 5) ÷ 3(3 × 2) ÷ 5

2) Divide the sum of 4 and 3 by5(4 + 3) ÷ 5(5 + 3) ÷ 45 ÷ (3 + 4)3 ÷ (4 + 5)

3) Divide 8 by the quotient of 5divivided by 28 ÷ (2 ÷ 5)8 ÷ (5 ÷ 2)(2 ÷ 5) ÷ 85 ÷ (8 ÷ 2)

4) Add 2 and 5 and then divide7 by the sum(7 + 5) ÷ 25 ÷ (2 + 7)7 ÷ (2 + 5)(2 + 7) ÷ 5

5) Find 7 times as much as 6less than 10(6 - 10) × 77 × (10 - 6)6 × (10 - 7)7 × (6 - 10)

6) Multiply 9 and 2 and thensubtract 13(9 × 13) - 213 - (2 × 9)13 - (9 × 2)(9 × 2) - 13

7) Subtract 5 from 13 and thendivide the difference by 3(5 - 13) ÷ 3(13 - 5) ÷ 3(3 - 13) ÷ 5(3 - 13) ÷ 1

8) 73 divided by the differencebetween 12 and 7(7 - 12) ÷ 7373 ÷ (12 - 7)(12 - 7) ÷ 737 ÷ (12 - 73)

9) Find 1 less than 18 and thenfind 28 less than thedifference28 - (18 - 1)28 - (18 - 1)(18 - 1) - 2828 - (1 - 18)

10) Find 7 more than the sum of9 and 8(7 + 8) + 99 + (7 + 8)8 + (9 + 7)(9 + 8) + 7

11) Find a number that is 8 timesas large as 5 divided by 6(8 ÷ 6) × 5(5 ÷ 6) × 86 × (5 ÷ 8)5 × (8 ÷ 6)

12) Add 3 to the quotient of 4divided by 9(4 ÷ 9) + 3(9 ÷ 4) + 3(3 ÷ 9) + 44 + (3 ÷ 9)

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Rewrite each number sentence using numerals and symbols.Rewriting Number Sentences

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1 Modified 1-10 92 83 75 67 58 50 42 33 25 1711-12 8 0

1) Add 9 and 4 and then subtract3(9 + 3) - 4(9 + 4) - 3(9 + 3) - 4(3 + 4) - 9

2) Find the quotient of 6 dividedby 7 and then divide 2(6 ÷ 7) ÷ 22 ÷ (7 ÷ 6)2 ÷ (6 ÷ 7)(7 ÷ 6) ÷ 2

3) Subtract 5 from 19 and thendivide 74 by the difference5 ÷ (19 - 74)(5 - 19) ÷ 7474 ÷ (19 - 5)(19 - 5) ÷ 74

4) Find the product of 3 and 9and then take that from 44 - (3 × 9)4 × (3 - 9)(3 × 9) - 4(9 × 3) - 4

5) Find 1/6 of 7 less than 17(17 - 7) ÷ 6(6 - 17) ÷ 1(6 - 17) ÷ 7(7 - 17) ÷ 6

6) Find the product of 8 and 6and then multiply by 38 × (3 × 6)(8 × 6) × 36 × (8 × 3)(3 × 6) × 8

7) Add 8 to the differencebetween 10 and 7(10 - 8) + 78 + (7 - 10)(8 - 7) + 10(10 - 7) + 8

8) Find a number that is 5 lessthan 20 minus 105 - (10 - 20)(10 - 20) - 5(20 - 10) - 55 - (20 - 10)

9) Find a number that is 9 lessthan 5 times 29 - (2 × 5)(5 × 2) - 9(5 × 9) - 29 - (5 × 2)

10) Find the product of 4 and 6and then divide 9(4 × 6) ÷ 99 ÷ (4 × 6)(6 × 9) ÷ 4(9 × 4) ÷ 6

11) Take the quotient of 2divided by 6 and from 77 - (6 ÷ 2)(6 ÷ 2) - 77 - (2 ÷ 6)(6 - 2) ÷ 7

12) Find 6 more than 9 plus 8(9 + 6) + 86 + (9 + 8)8 + (9 + 6)(6 + 8) + 9

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2

109

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) Find the quotient of 9 divided by 3 and then take away 7

2) Take the quotient of 5 divided by 2 and from 6

3) 74 divided by the difference between 10 and 8

4) Find the product of 6 times 8 less than 9

5) Divide 9 by 6 and then multiply by 4

6) Add 8 and 2 and then multiply by 9

7) Find 8 more than 9 minus 9

8) Find a number that is 9 times as large as 10 minus 8

9) Find the quotient of 7 less than 12 divided by 3

10) Find 9 times as much as the product of 7 and 5

11) Subtract 21 from the product of 4 and 7

12) Divide 6 by the product of 5 and 9

13) Find 1/4 as many as 8 plus 2

14) Subtract 17 from 22 and then subtract 5

15) Add 3 and 6 and then add 4

16) Find the sum of 5 and 6 and then take it from 14

17) Find take 2 from 13 and then take the difference from 20

18) Divide 9 by the sum of 3 and 7

19) Find the product of 6 and 2 and then divide 9

20) Divide 8 by 3 and then add 4

1. (9 ÷ 3) - 7

2. 6 - (5 ÷ 2)

3. 74 ÷ (10 - 8)

4. 9 - (6 × 8)

5. 4 × (9 ÷ 6)

6. 9 × (8 + 2)

7. 8 + (9 - 9)

8. 9 × (10 - 8)

9. (12 - 7) ÷ 2

10. (7 × 5) × 9

11. (4 × 7) - 21

12. 6 ÷ (5 × 9)

13. (8 + 2) ÷ 4

14. (22 - 17) - 5

15. (3 + 6) + 4

16. 14 - (5 + 6)

17. 20 - (13 - 2)

18. 9 ÷ (3 + 7)

19. (6 × 2) ÷ 9

20. (8 ÷ 3) + 4



Name:

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3 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) Subtract 7 from 13 and then divide the difference by 6

2) Find the product of 9 times 6 less than 5

3) Find take 6 from 12 and then take the difference from 30

4) Subtract 4 from 7 and then multiply by 9

5) Take 4 from the sum of 9 and 8

6) Find 2 more than 5 and then take the sum from 19

7) Divide 3 by the sum of 2 and 8

8) Add 9 and 3 and then add 7

9) Divide 6 by 4 and then divide 8 by the quotient

10) Divide 9 by the product of 4 and 3

11) Divide 3 by 6 and then multiply by 8

12) Subtract 12 from 23 and then subtract 5

13) Subtract 6 from the product of 3 and 8

14) Subtract 8 from 10 and then divide 23 by the difference

15) Find 6 times as many as 7 plus 8

16) Subtract the quotient of 3 divided by 8 from 2

17) Subtract 9 from the quotient of 8 divided by 4

18) Find 2 more than the quotient of 7 and 5

19) Divide the sum of 6 and 2 by 3

20) Add 3 to the difference between 9 and 7

1. (13 - 7) ÷ 6

2. 5 - (9 × 6)

3. 30 - (12 - 6)

4. 9 × (7 - 4)

5. (9 + 8) - 4

6. 19 - (5 + 2)

7. 3 ÷ (2 + 8)

8. 7 + (9 + 3)

9. 8 ÷ (6 ÷ 4)

10. 9 ÷ (4 × 3)

11. (3 ÷ 6) × 8

12. (23 - 12) - 5

13. (3 × 8) - 6

14. 23 ÷ (10 - 8)

15. 6 × (7 + 8)

16. 2 - (3 ÷ 8)

17. (8 ÷ 4) - 9

18. (7 ÷ 5) + 2

19. (6 + 2) ÷ 3

20. (9 - 7) + 3



Name:

Answers

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Name:

Answers

1-10 90 80 70 60 50 40 30 20 10 0

19181716151413121110987654321

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Ex) X: Start at 13 and subtract 1.Y: Start at 12 and subtract 2.

x: 13 12 11 10

y: 12 10 8 6

1) X: Start at 14 and subtract 2.Y: Start at 7 and subtract 1.

x: 14 12 10 8

y: 7 6 5 4

2) X: Start at 2 and add 1.Y: Start at 7 and add 3.

x: 2 3 4 5

y: 7 10 13 16


x: 17 14 11 8

y: 19 16 13 10

4) X: Start at 17 and subtract 3.Y: Start at 4 and add 1.

x: 17 14 11 8

y: 4 5 6 7

5) X: Start at 10 and add 2.Y: Start at 11 and subtract 1.

x: 10 12 14 16

y: 11 10 9 8

Ex. (10,6)

Ex. Graph

1. (8,4)

1. Graph

2. (5,16)

2. Graph

3. (8,10)

3. Graph

4. (8,7)

4. Graph

5. (16,8)

5. Graph

Graphing PatternsFill in the patterns and then graph the coordinate pairs.


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Answers

1-10 90 80 70 60 50 40 30 20 10 0

19181716151413121110987654321

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Ex) X: Start at 9 and subtract 1.Y: Start at 2 and add 3.

x: 9 8 7 6

y: 2 5 8 11


x: 2 4 6 8

y: 2 4 6 8


x: 14 12 10 8

y: 9 12 15 18


x: 4 3 2 1

y: 2 3 4 5


x: 9 7 5 3

y: 8 10 12 14


x: 1 3 5 7

y: 10 13 16 19

Ex. (6,11)

Ex. Graph

1. (8,8)

1. Graph

2. (8,18)

2. Graph

3. (1,5)

3. Graph

4. (3,14)

4. Graph

5. (7,19)

5. Graph


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Answers

1-10 90 80 70 60 50 40 30 20 10 0

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16


x: 16 14 12 10

y: 16 14 12 10


x: 3 4 5 6

y: 8 10 12 14


x: 13 11 9 7

y: 9 10 11 12


x: 16 13 10 7

y: 6 8 10 12


x: 4 6 8 10

y: 8 9 10 11


x: 8 10 12 14

y: 9 10 11 12

Ex. (10,10)

Ex. Graph

1. (6,14)

1. Graph

2. (7,12)

2. Graph

3. (7,12)

3. Graph

4. (10,11)

4. Graph

5. (14,12)

5. Graph



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Answers

1-10 90 80 70 60 50 40 30 20 10 0

18

17

16

15

14

13

12

11

10

9

8

7

6

5

4

3

2

1

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18


x: 11 8 5 2

y: 10 9 8 7


x: 18 15 12 9

y: 7 9 11 13


x: 11 10 9 8

y: 7 9 11 13

3) X: Start at 7 and add 3.Y: Start at 8 and subtract 1.

x: 7 10 13 16

y: 8 7 6 5


x: 10 7 4 1

y: 6 7 8 9


x: 13 12 11 10

y: 14 11 8 5

Ex. (2,7)

Ex. Graph

1. (9,13)

1. Graph

2. (8,13)

2. Graph

3. (16,5)

3. Graph

4. (1,9)

4. Graph

5. (10,5)

5. Graph


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1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

Ex) 2 0 . 4

Ex) 3 . 9

1) 8 , 6 4 4 . 5 8

2) 3 4 4 . 1 8 1

3) 6 1 . 8 3

4) 9 5 . 4

5) 1 5 2 . 4 2

6) 6 1 8 , 2 5 2 . 7 7 8

7) 3 , 4 5 5 , 2 8 7 . 3 5 1

8) 1 , 9 5 3 . 1 7 5

9) 2 , 9 9 0 . 8 5

10) 1 3 9 , 9 9 6 . 6

11) 2 , 1 1 2 . 9 4 9

12) 4 4 . 5

13) 8 , 9 5 7 , 3 4 2 . 9

14) 8 7 7 , 2 1 7 . 3 9

15) 5 8 , 8 4 6 . 5 2 3

Ex.4⁄10

Ex. 3

1. 8,000

2.1⁄1000

3.3⁄100

4.4⁄10

5.2⁄100

6.8⁄1000

7.1⁄1000

8.5⁄1000

9.5⁄100

10.6⁄10

11. 2,000

12.5⁄10

13.9⁄10

14.9⁄100

15. 50,000

Finding Digit Value with DecimalsFind the value of the underlined digit.


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Answers

1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

Ex) 5 4 6 , 3 0 3 . 7

Ex) 5 . 4 2

1) 5 4 , 9 4 9 . 5

2) 7 3 3 , 0 6 8 . 2 4 5

3) 6 , 6 3 0 . 9

4) 5 , 5 9 0 , 3 4 8 . 1 5

5) 7 , 9 6 0 , 3 1 4 . 8 4

6) 8 , 1 4 4 , 7 5 3 . 2

7) 7 2 9 , 9 0 2 . 2 6 6

8) 5 , 2 7 4 , 7 8 6 . 9 8 4

9) 1 8 , 2 9 3 . 6 1

10) 4 , 1 2 6 . 3

11) 4 5 . 6

12) 3 . 9 9 5

13) 3 , 3 7 5 . 6

14) 2 , 5 8 9 . 5 3

15) 9 . 8 2 4

Ex.7⁄10

Ex.2⁄100

1. 50,000

2. 700,000

3.9⁄10

4.5⁄100

5.4⁄100

6.2⁄10

7.6⁄1000

8.4⁄1000

9.1⁄100

10.3⁄10

11.6⁄10

12. 3

13. 3,000

14.3⁄100

15.4⁄1000

Finding Digit Value with DecimalsFind the value of the underlined digit.

2

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Answers

1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0

1) 962.69The 6 in the tens place is _______ the value of the 6 in the tenths place.

2) 9,443.2The 4 in the tens place is _______ the value of the 4 in the hundreds place.

3) 54.45The 5 in the tens place is _______ the value of the 5 in the hundredths place.

4) 7,279.21The 2 in the hundreds place is _______ the value of the 2 in the tenths place.

5) 29,392.46The 9 in the tens place is _______ the value of the 9 in the thousands place.

6) 55.4The 5 in the ones place is _______ the value of the 5 in the tens place.

7) 668.88The 6 in the tens place is _______ the value of the 6 in the hundreds place.

8) 8,543.191The 1 in the tenths place is _______ the value of the 1 in the thousandths place.

9) 53,765.873The 3 in the thousands place is _______ the value of the 3 in the thousandths place.

10) 93,482.23The 2 in the ones place is _______ the value of the 2 in the tenths place.

11) 5,528.783The 8 in the ones place is _______ the value of the 8 in the hundredths place.

12) 418.85The 8 in the ones place is _______ the value of the 8 in the tenths place.


1. 100 ×

2.1⁄10

3. 1,000 ×

4. 1,000 ×

5.1⁄100

6.1⁄10

7.1⁄10

8. 100 ×

9. 1,000,000 ×

10. 10 ×

11. 100 ×

12. 10 ×

13.1⁄10

Examining Digit Place ValuesCompare the values of each of the digits.

1 Math

Name:


Answers

1-10 92 85 77 69 62 54 46 38 31 2311-13 15 8 0

1) 6,237.2The 2 in the hundreds place is _______ the value of the 2 in the tenths place.

2) 14,219.92The 9 in the ones place is _______ the value of the 9 in the tenths place.

3) 268.6The 6 in the tens place is _______ the value of the 6 in the tenths place.

4) 52.959The 5 in the tens place is _______ the value of the 5 in the hundredths place.


6) 8,941,337.71The 7 in the ones place is _______ the value of the 7 in the tenths place.


8) 281.215The 1 in the ones place is _______ the value of the 1 in the hundredths place.

9) 318,315.46The 1 in the tens place is _______ the value of the 1 in the ten thousands place.

10) 615.657The 6 in the hundreds place is _______ the value of the 6 in the tenths place.


12) 564,128.68The 8 in the ones place is _______ the value of the 8 in the hundredths place.


1. 1,000 ×

2. 10 ×

3. 100 ×

4. 1,000 ×

5.1⁄10

6. 10 ×

7.1⁄10

8. 100 ×

9.1⁄1,000

10. 1,000 ×

11.1⁄10

12. 100 ×

13.1⁄10

Examining Digit Place ValuesCompare the values of each of the digits.

2


Name:

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Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

Ex) If 9 × 8 = 72 , then 9 × 800 = 7,200

Ex) If 7 × 3 = 21 , then 70 × 3 = 210

1) If 6 × 2 = 12 , then 6 × 200 =

2) If 3 × 3 = 9 , then 30 × 3 =

3) If 3 × 4 = 12 , then 3 × 40 =

4) If 9 × 4 = 36 , then 900 × 4 =

5) If 7 × 1 = 7 , then 7 × 10 =

6) If 6 × 9 = 54 , then 600 × 9 =

7) If 6 × 1 = 6 , then 6 × 100 =

8) If 2 × 4 = 8 , then 20 × 4 =

9) If 2 × 6 = 12 , then 2 × 600 =

10) If 6 × 6 = 36 , then 600 × 6 =

11) If 7 × 5 = 35 , then 7 × 50 =

12) If 8 × 3 = 24 , then 800 × 3 =

13) If 2 × 9 = 18 , then 2 × 900 =

14) If 3 × 1 = 3 , then 30 × 1 =

15) If 5 × 4 = 20 , then 5 × 40 =

350 30 5,400 90 2,400

600 1,200 3,600 70 3,600

1,800 120 1,200 7,200 200

210 80

Ex. 7,200

Ex. 210

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Understanding Multiplying By 10s & 100sDetermine the answer to the following problems.


Name:

Answers

Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

Ex) If 6 × 4 = 24 , then 6 × 40 = 240

Ex) If 7 × 6 = 42 , then 70 × 6 = 420

1) If 2 × 3 = 6 , then 2 × 30 =

2) If 2 × 9 = 18 , then 20 × 9 =

3) If 9 × 4 = 36 , then 9 × 400 =

4) If 6 × 1 = 6 , then 600 × 1 =

5) If 9 × 3 = 27 , then 9 × 30 =

6) If 5 × 9 = 45 , then 500 × 9 =

7) If 7 × 4 = 28 , then 7 × 400 =

8) If 2 × 2 = 4 , then 200 × 2 =

9) If 5 × 3 = 15 , then 5 × 30 =

10) If 3 × 6 = 18 , then 30 × 6 =

11) If 8 × 9 = 72 , then 8 × 90 =

12) If 5 × 6 = 30 , then 500 × 6 =

13) If 8 × 6 = 48 , then 8 × 600 =

14) If 2 × 8 = 16 , then 200 × 8 =

15) If 9 × 6 = 54 , then 9 × 600 =

4,500 3,600 180 150 180

3,000 2,800 720 600 4,800

60 400 420 1,600 240

270 5,400

Ex. 240

Ex. 420

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Understanding Multiplying By 10s & 100sDetermine the answer to the following problems.

2


Name:

Answers

Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

Ex) If 4 × 7 = 28 , then 4 × 700 = 2,800

Ex) If 3 × 5 = 15 , then 30 × 5 = 150

1) If 5 × 9 = 45 , then 5 × 9,000 =

2) If 9 × 2 = 18 , then 9,000 × 2 =

3) If 5 × 6 = 30 , then 5 × 60 =

4) If 2 × 9 = 18 , then 20 × 9 =

5) If 5 × 5 = 25 , then 5 × 50 =

6) If 5 × 7 = 35 , then 5,000 × 7 =

7) If 4 × 9 = 36 , then 4 × 90 =

8) If 3 × 2 = 6 , then 30 × 2 =

9) If 8 × 3 = 24 , then 8 × 300 =

10) If 7 × 8 = 56 , then 700 × 8 =

11) If 6 × 4 = 24 , then 6 × 4,000 =

12) If 3 × 1 = 3 , then 3,000 × 1 =

13) If 8 × 2 = 16 , then 8 × 2,000 =

14) If 8 × 7 = 56 , then 800 × 7 =

15) If 7 × 4 = 28 , then 7 × 40 =

150 250 45,000 3,000 180

2,800 300 360 5,600 280

5,600 24,000 16,000 35,000 60

18,000 2,400

Ex. 2,800

Ex. 150

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Understanding Multiplying By 10s, 100s & 1,000sDetermine the answer to the following problems.


Name:

Answers

Modified 1-10 11-15

93 87 80 73 67 60 53 47 40 33 27 20 13 7 0

Ex) If 2 × 2 = 4 , then 2 × 200 = 400

Ex) If 4 × 3 = 12 , then 4,000 × 3 = 12,000

1) If 3 × 9 = 27 , then 3 × 9,000 =

2) If 9 × 7 = 63 , then 900 × 7 =

3) If 5 × 4 = 20 , then 5 × 4,000 =

4) If 2 × 4 = 8 , then 200 × 4 =

5) If 5 × 7 = 35 , then 5 × 700 =

6) If 4 × 9 = 36 , then 40 × 9 =

7) If 8 × 1 = 8 , then 8 × 10 =

8) If 8 × 2 = 16 , then 80 × 2 =

9) If 2 × 9 = 18 , then 2 × 9,000 =

10) If 3 × 1 = 3 , then 30 × 1 =

11) If 3 × 6 = 18 , then 3 × 600 =

12) If 8 × 7 = 56 , then 80 × 7 =

13) If 9 × 5 = 45 , then 9 × 5,000 =

14) If 2 × 1 = 2 , then 2,000 × 1 =

15) If 8 × 5 = 40 , then 8 × 500 =

800 45,000 80 18,000 360

400 1,800 4,000 30 20,000

560 3,500 27,000 160 12,000

2,000 6,300

Ex. 400

Ex. 12,000

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

Understanding Multiplying By 10s, 100s & 1,000sDetermine the answer to the following problems.

2


Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 2 × 300 = 600

2) 400 × 3 = 1,200

3) 4 × 50 = 200

4) 9 × 200 = 1,800

5) 5 × 900 = 4,500

6) 9 × 400 = 3,600

7) 20 × 2 = 40

8) 7 × 80 = 560

9) 900 × 3 = 2,700

10) 400 × 7 = 2,800

11) 20 × 4 = 80

12) 700 × 2 = 1,400

13) 300 × 7 = 2,100

14) 4 × 10 = 40

15) 10 × 8 = 80

16) 30 × 5 = 150

17) 80 × 6 = 480

18) 3 × 800 = 2,400

19) 60 × 4 = 240

20) 3 × 600 = 1,800

1. 600

2. 1,200

3. 200

4. 1,800

5. 4,500

6. 3,600

7. 40

8. 560

9. 2,700

10. 2,800

11. 80

12. 1,400

13. 2,100

14. 40

15. 80

16. 150

17. 480

18. 2,400

19. 240

20. 1,800

Multiplying by 10s and 100sSolve each problem.

1 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 2,000 ÷ 500 = 4

2) 35,000 ÷ 7,000 = 5

3) 14,000 ÷ 7,000 = 2

4) 180 ÷ 60 = 3

5) 1,200 ÷ 600 = 2

6) 48,000 ÷ 6,000 = 8

7) 500 ÷ 500 = 1

8) 8,000 ÷ 2,000 = 4

9) 30,000 ÷ 6,000 = 5

10) 360 ÷ 40 = 9

11) 120 ÷ 30 = 4

12) 45,000 ÷ 5,000 = 9

13) 1,400 ÷ 700 = 2

14) 720 ÷ 90 = 8

15) 10,000 ÷ 2,000 = 5

16) 4,000 ÷ 500 = 8

17) 720 ÷ 80 = 9

18) 200 ÷ 200 = 1

19) 63,000 ÷ 7,000 = 9

20) 2,100 ÷ 300 = 7

1. 4

2. 5

3. 2

4. 3

5. 2

6. 8

7. 1

8. 4

9. 5

10. 9

11. 4

12. 9

13. 2

14. 8

15. 5

16. 8

17. 9

18. 1

19. 9

20. 7

Solve each problem.Dividing with Multiples of Ten


Name:

Answers

1

2625

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1)626.54 × 10 = 6,265.4

2)982.24 × 100 = 98,224

3)79,310 ÷ 100 = 793.1

4)547.579 × 100 = 54,757.9

5)95,413.2 ÷ 100 = 954.132

6)821.35 × 10 = 8,213.5

7)75,360 ÷ 100 = 753.6

8)591,840 ÷ 1,000 = 591.84

9)929.2 × 10 = 9,292

10)611,216 ÷ 1,000 = 611.216

11)563.8 × 10 = 5,638

12)852.6 × 1,000 = 852,600

13)332.96 × 1,000 = 332,960

14)75,878 ÷ 100 = 758.78

15)75,412.9 ÷ 100 = 754.129

16)4,878.86 ÷ 10 = 487.886

17)44,338.9 ÷ 100 = 443.389

18)169.1 × 1,000 = 169,100

19)35,797 ÷ 100 = 357.97

20)151.37 × 1,000 = 151,370

1. 10

2. 100

3. 793.1

4. 547.579

5. 95,413.2

6. 8,213.5

7. 75,360

8. 1,000

9. 929.2

10. 1,000

11. 5,638

12. 852,600

13. 332.96

14. 75,878

15. 754.129

16. 10

17. 443.389

18. 1,000

19. 35,797

20. 151.37

Use decimal multiplication and division rules to fill in the blank.Identifying Decimal Equation Patterns


Name:

Answers

1 Math

Name:


5 4 7 0 0

5.47 × 104 This is the same as saying: 5.47 × (10 × 10 × 10 × 10)

And because the base is 10 you can just move the decimal 4 places to the right to solve.

.

5.47 × 104 = 54,700

0 2 3 6

2.36 ÷ 102 Division is the same way. Only instead of moving the decimal right, you move it left.

.

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 8.5 ÷ 10 1 2) 248.92 × 10 4

3) 1.28 ÷ 10 3 4) 498.32 × 10 3

5) 415.95 ÷ 10 2 6) 52.8 × 10 4

7) 582.61 ÷ 10 1 8) 8.15 × 10 1

9) 4.7 ÷ 10 3 10) 9.849 × 10 3

11) 9.969 ÷ 10 2 12) 6.72 × 10 2

13) 61.423 ÷ 10 2 14) 144.717 × 10 3

15) 884.4 ÷ 10 2 16) 79.5 × 10 4

17) 6.14 ÷ 10 4 18) 3.595 × 10 4

19) 66.5 ÷ 10 2 20) 74.3 × 10 1

1. 0.85

2. 2,489,200

3. 0.00128

4. 498,320

5. 4.1595

6. 528,000

7. 58.261

8. 81.5

9. 0.0047

10. 9,849

11. 0.09969

12. 672

13. 0.61423

14. 144,717

15. 8.844

16. 795,000

17. 0.000614

18. 35,950

19. 0.665

20. 743

Multiplying and Dividing Powers of TenSolve each problem.

1

2827Math

Name:


5 4 7 0 0



.

5.47 × 104 = 54,700

0 2 3 6


.

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 629.926 ÷ 10 3 2) 77.71 × 10 1

3) 6.87 ÷ 10 4 4) 21.56 × 10 1

5) 2.6 ÷ 10 1 6) 238.21 × 10 3

7) 33.184 ÷ 10 3 8) 574.91 × 10 3

9) 95.27 ÷ 10 3 10) 396.399 × 10 2

11) 875.86 ÷ 10 3 12) 325.125 × 10 1

13) 86.35 ÷ 10 4 14) 728.4 × 10 4

15) 424.8 ÷ 10 2 16) 11.9 × 10 1

17) 844.21 ÷ 10 2 18) 428.92 × 10 4

19) 7.7 ÷ 10 4 20) 89.618 × 10 1

1. 0.629926

2. 777.1

3. 0.000687

4. 215.6

5. 0.26

6. 238,210

7. 0.033184

8. 574,910

9. 0.09527

10. 39,639.9

11. 0.87586

12. 3,251.25

13. 0.008635

14. 7,284,000

15. 4.248

16. 119

17. 8.4421

18. 4,289,200

19. 0.00077

20. 896.18


2 Math

Name:


5 4 7 0 0



.

5.47 × 104 = 54,700

0 2 3 6


.

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 7.1 ÷ 10 3 2) 8.143 × 10 3

3) 965.74 ÷ 10 2 4) 321.1 × 10 2

5) 463.8 ÷ 10 1 6) 685.438 × 10 3

7) 957.95 ÷ 10 1 8) 956.72 × 10 1

9) 2.716 ÷ 10 1 10) 1.3 × 10 3

11) 24.6 ÷ 10 3 12) 35.29 × 10 4

13) 8.5 ÷ 10 2 14) 875.5 × 10 2

15) 84.1 ÷ 10 2 16) 49.6 × 10 2

17) 7.4 ÷ 10 2 18) 521.9 × 10 3

19) 915.316 ÷ 10 2 20) 5.7 × 10 4

1. 0.0071

2. 8,143

3. 9.6574

4. 32,110

5. 46.38

6. 685,438

7. 95.795

8. 9,567.2

9. 0.2716

10. 1,300

11. 0.0246

12. 352,900

13. 0.085

14. 87,550

15. 0.841

16. 4,960

17. 0.074

18. 521,900

19. 9.15316

20. 57,000


3


Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 40,000 ÷ 10 4 2) 531 × 10 3

3) 81,700 ÷ 10 1 4) 42 × 10 1

5) 8,710,000 ÷ 10 4 6) 47 × 10 3

7) 3,100 ÷ 10 1 8) 2 × 10 4

9) 7,210,000 ÷ 10 3 10) 6 × 10 4

11) 72,000 ÷ 10 1 12) 28 × 10 4

13) 8,000,000 ÷ 10 4 14) 225 × 10 3

15) 77,800,000 ÷ 10 3 16) 76 × 10 2

17) 84,500,000 ÷ 10 4 18) 9 × 10 3

19) 2,000,000 ÷ 10 4 20) 15 × 10 1

1. 4

2. 531,000

3. 8,170

4. 420

5. 871

6. 47,000

7. 310

8. 20,000

9. 7,210

10. 60,000

11. 7,200

12. 280,000

13. 800

14. 225,000

15. 77,800

16. 7,600

17. 8,450

18. 9,000

19. 200

20. 150



Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 20 ÷ 10 1 2) 281 × 10 2

3) 38,400,000 ÷ 10 3 4) 125 × 10 3

5) 736,000 ÷ 10 2 6) 6 × 10 3

7) 2,000 ÷ 10 3 8) 22 × 10 4

9) 8,000 ÷ 10 1 10) 12 × 10 2

11) 24,000 ÷ 10 1 12) 52 × 10 4

13) 5,000 ÷ 10 1 14) 41 × 10 1

15) 4,500 ÷ 10 1 16) 17 × 10 4

17) 400,000 ÷ 10 3 18) 58 × 10 4

19) 8,400,000 ÷ 10 4 20) 5 × 10 2

1. 2

2. 28,100

3. 38,400

4. 125,000

5. 7,360

6. 6,000

7. 2

8. 220,000

9. 800

10. 1,200

11. 2,400

12. 520,000

13. 500

14. 410

15. 450

16. 170,000

17. 400

18. 580,000

19. 840

20. 500


2


Name:

Answers

1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

1) one hundred fifty-five and thirty-four hundredthsA. 155.43 B. 551.43 C. 551.34 D. 155.34

2) two hundred twelve and seventy-three hundredthsA. 212.7 B. 212.37 C. 212.73 D. 212.073

3) six hundred twenty-six and fourteen thousandthsA. 626.014 B. 626.0 C. 626.410 D. 626.0014

4) forty-nine and ninety-eight thousandthsA. 94.890 B. 49.098 C. 49.0098 D. 49.890

5) ninety-six and seven hundred eighty-five thousandthsA. 96.587 B. 96.0785 C. 96.785 D. 69.7

6) eight hundred twenty-four and four hundred seventy-nine thousandthsA. 428.4 B. 824.479 C. 824.00479 D. 428.974

7) eighty-seven and five hundred ninety-eight thousandthsA. 78.5 B. 87.598 C. 78.59 D. 87.00598

8) nine hundred thirty-nine and nine thousandthsA. 939.900 B. 939.009 C. 939.9 D. 939.00

9) eighty-six and eighty-four thousandthsA. 86.0084 B. 86.084 C. 68.480 D. 86.480

10) fifty-four and eight hundred twenty-two thousandthsA. 45.822 B. 54.0822 C. 54.822 D. 45.8

11) five hundred seventy-three and seven hundred twenty-nine thousandthsA. 375.729 B. 573.0729 C. 573.729 D. 573.00729

12) two hundred eighty-three and sixty-eight hundredthsA. 283.0068 B. 283.68 C. 283.068 D. 283.86

13) ninety-one and seventy-five hundredthsA. 91.75 B. 19.57 C. 19.7 D. 19.75

14) three hundred fifty-six and fifty-five hundredthsA. 653.5 B. 356.0055 C. 653.55 D. 356.55

15) seventy-five and one hundred eighty-four thousandthsA. 75.184 B. 57.18 C. 75.481 D. 75.00184

1. D

2. C

3. A

4. B

5. C

6. B

7. B

8. B

9. B

10. C

11. C

12. B

13. A

14. D

15. A

Word to Numeric w/ DecimalsDetermine which choice best show the value written as a numeral.


Name:

Answers

1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

1) five hundred ninety-five and sixteen thousandthsA. 595.01 B. 595.016 C. 595.0016 D. 595.610

2) thirty-four and five hundred thirteen thousandthsA. 34.513 B. 34.0513 C. 34.315 D. 34.00513

3) seventy-one and eighty-five hundredthsA. 71.085 B. 17.8 C. 71.85 D. 71.0085

4) three hundred sixty-five and seven hundred sixty-six thousandthsA. 365.00766 B. 365.766 C. 365.0766 D. 563.76

5) ninety-five and six hundred ninety-four thousandthsA. 95.496 B. 59.694 C. 95.694 D. 59.6

6) sixty-five and seven hundred seventy-nine thousandthsA. 65.779 B. 56.77 C. 56.7 D. 65.0779

7) eighty-three and four hundredthsA. 38.04 B. 83.4 C. 83.40 D. 83.04

8) ninety-five and twenty-six thousandthsA. 59.026 B. 95.26 C. 95.026 D. 95.0026

9) fifty-three and six hundred fourteen thousandthsA. 53.614 B. 35.614 C. 35.6 D. 53.00614

10) twenty-one and four thousandthsA. 12.400 B. 21.4 C. 21.004 D. 21.400

11) eighty-one and twenty-five thousandthsA. 81.25 B. 81.520 C. 18.02 D. 81.025

12) thirteen and one thousandthA. 13.001 B. 13.1 C. 31.00 D. 31.001

13) twelve and sixty-one hundredthsA. 12.61 B. 12.0061 C. 12.061 D. 12.16

14) three hundred sixty-one and eight tenthsA. 361.8 B. 361.008 C. 163.8 D. 361.08

15) fifty-five and eighty-seven thousandthsA. 55.780 B. 55.08 C. 55.0 D. 55.087

1. B

2. A

3. C

4. B

5. C

6. A

7. D

8. C

9. A

10. C

11. D

12. A

13. A

14. A

15. D

Word to Numeric w/ DecimalsDetermine which choice best show the value written as a numeral.

2


Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) eighteen and three tenths

1) eight hundred fifty-four and nine tenths

2) five hundred seventy-seven and eight hundred thirty-eight thousandths

3) nine hundred sixty-eight and eighteen thousandths

4) eighteen and seventy-eight hundredths

5) nine and four thousandths

6) fifty-four and six tenths

7) fifty-three and ninety-eight thousandths

8) sixty-seven and five hundred eighty-one thousandths

9) eighty-five and one hundred fifteen thousandths

10) seventy-two and nine hundred fifteen thousandths

11) nine and ninety-three thousandths

12) eight hundred sixty-nine and three hundred twenty-seven thousandths

13) forty-four and nine thousandths

14) five and two tenths

15) nine and eighteen hundredths

16) nine hundred fifteen and seventy-three hundredths

17) eight hundred seventy-nine and seventy-one hundredths

18) seven hundred sixty-five and one hundred seventy-eight thousandths

19) thirty-nine and seventy-two thousandths

20) three and seven hundredths

Ex. 18.3

1. 854.9

2. 577.838

3. 968.018

4. 18.78

5. 9.004

6. 54.6

7. 53.098

8. 67.581

9. 85.115

10. 72.915

11. 9.093

12. 869.327

13. 44.009

14. 5.2

15. 9.18

16. 915.73

17. 879.71

18. 765.178

19. 39.072

20. 3.07

Word Form to Numeric Form with DecimalsConvert each problem to numberic form.

1 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) 8 + ( 2 × 1⁄10 ) + ( 3 × 1⁄100 )

1) 7 + ( 8 × 1⁄10 )

2) 8 × 10 + 6 + ( 3 × 1⁄10 ) + ( 1 × 1⁄100 )

3) 8 × 10 + 1 + ( 2 × 1⁄10 ) + ( 9 × 1⁄100 )

4) 8 × 100 + 6 × 10 + 4 + ( 3 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 7 ×

1⁄1000 )

5) 2 × 100 + 9 × 10 + 1 + ( 2 × 1⁄10 )

6) 5 + ( 3 × 1⁄10 )

7) 1 × 10 + 9 + ( 9 × 1⁄10 ) + ( 8 × 1⁄100 )

8) 6 × 10 + 5 + ( 9 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 9 ×

1⁄1000 )

9) 1 + ( 7 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 5 ×

1⁄1000 )

10) 1 × 10 + 2 + ( 7 × 1⁄10 ) + ( 5 × 1⁄100 )

11) 3 × 10 + 3 + ( 4 × 1⁄10 )

12) 1 + ( 6 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 3 ×

1⁄1000 )

13) 9 × 100 + 7 × 10 + 5 + ( 2 × 1⁄10 )

14) 7 + ( 1 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 8 ×

1⁄1000 )

15) 3 × 100 + 4 × 10 + 9 + ( 6 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 1 ×

1⁄1000 )

16) 7 × 10 + 6 + ( 5 × 1⁄10 ) + ( 2 × 1⁄100 ) + ( 9 ×

1⁄1000 )

17) 4 × 10 + 6 + ( 6 × 1⁄10 ) + ( 3 × 1⁄100 )

18) 7 × 10 + 7 + ( 8 × 1⁄10 ) + ( 4 × 1⁄100 )

19) 4 × 10 + 8 + ( 2 × 1⁄10 ) + ( 5 × 1⁄100 )

20) 5 × 100 + 3 × 10 + 4 + ( 2 × 1⁄10 )

Ex. 8.23

1. 7.8

2. 86.31

3. 81.29

4. 864.347

5. 291.2

6. 5.3

7. 19.98

8. 65.949

9. 1.745

10. 12.75

11. 33.4

12. 1.663

13. 975.2

14. 7.168

15. 349.651

16. 76.529

17. 46.63

18. 77.84

19. 48.25

20. 534.2

Convert each problem to numeric notation.Expanded Notation to Numeric Form with Decimals


Name:

Answers

1

3635

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) 70 + 3 + 7⁄10 + 7⁄100

1) 5 + 7⁄10 + 3⁄100

2) 100 + 50 + 3 + 5⁄10 + 4⁄100

3) 6 + 3⁄10

4) 90 + 1 + 7⁄10

5) 90 + 1 + 1⁄10 + 2⁄100

6) 50 + 6 + 5⁄10

7) 5 + 8⁄10

8) 10 + 1 + 1⁄10 + 3⁄100

9) 200 + 60 + 3 + 7⁄10 + 3⁄100

10) 90 + 3 + 9⁄10

11) 4 + 7⁄10

12) 400 + 80 + 2 + 9⁄10

13) 500 + 90 + 2 + 2⁄10 + 1⁄100 +

2⁄1000

14) 800 + 30 + 9 + 1⁄10 + 6⁄100

15) 80 + 8 + 6⁄10 + 8⁄100

16) 800 + 20 + 4 + 7⁄10

17) 4 + 1⁄10

18) 7 + 1⁄10 + 7⁄100 +

6⁄1000

19) 200 + 20 + 8 + 8⁄10 + 9⁄100

20) 40 + 7 + 2⁄10 + 1⁄100

Ex. 73.77

1. 5.73

2. 153.54

3. 6.3

4. 91.7

5. 91.12

6. 56.5

7. 5.8

8. 11.13

9. 263.73

10. 93.9

11. 4.7

12. 482.9

13. 592.212

14. 839.16

15. 88.68

16. 824.7

17. 4.1

18. 7.176

19. 228.89

20. 47.21

Convert each problem to numeric form.Expanded Form to Numeric Form with Decimals


Name:

Answers

1 1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

Ex) 391.675 3 × 100 + 9 × 10 + 1 + ( 6 × 1⁄10 ) + ( 7 × 1⁄100 ) + ( 5 ×

1⁄1000 )

1) 231.856 2 × 100 + 3 × 10 + 1 + ( 8 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 6 ×

1⁄1000 )

2) 3.611 3 + ( 6 × 1⁄10 ) + ( 1 × 1⁄100 ) + ( 1 ×

1⁄1000 )

3) 362.72 3 × 100 + 6 × 10 + 2 + ( 7 × 1⁄10 ) + ( 2 × 1⁄100 )

4) 79.564 7 × 10 + 9 + ( 5 × 1⁄10 ) + ( 6 × 1⁄100 ) + ( 4 ×

1⁄1000 )

5) 42.1 4 × 10 + 2 + ( 1 × 1⁄10 )

6) 6.145 6 + ( 1 × 1⁄10 ) + ( 4 × 1⁄100 ) + ( 5 ×

1⁄1000 )

7) 315.178 3 × 100 + 1 × 10 + 5 + ( 1 × 1⁄10 ) + ( 7 × 1⁄100 ) + ( 8 ×

1⁄1000 )

8) 3.3 3 + ( 3 × 1⁄10 )

9) 74.3 7 × 10 + 4 + ( 3 × 1⁄10 )

10) 747.4 7 × 100 + 4 × 10 + 7 + ( 4 × 1⁄10 )

11) 27.2 2 × 10 + 7 + ( 2 × 1⁄10 )

12) 2.37 2 + ( 3 × 1⁄10 ) + ( 7 × 1⁄100 )

13) 794.7 7 × 100 + 9 × 10 + 4 + ( 7 × 1⁄10 )

14) 39.857 3 × 10 + 9 + ( 8 × 1⁄10 ) + ( 5 × 1⁄100 ) + ( 7 ×

1⁄1000 )

15) 57.629 5 × 10 + 7 + ( 6 × 1⁄10 ) + ( 2 × 1⁄100 ) + ( 9 ×

1⁄1000 )

Convert each number to expanded notation.Numeric Form to Expanded Notation with Decimals


Name:

1

3837

1-10 93 87 80 73 67 60 53 47 40 3311-15 27 20 13 7 0

Ex) 4.648 4 + 6⁄10 + 4⁄100 +

8⁄1000

1) 74.69 70 + 4 + 6⁄10 + 9⁄100

2) 64.4 60 + 4 + 4⁄10

3) 324.7 300 + 20 + 4 + 7⁄10

4) 867.234 800 + 60 + 7 + 2⁄10 + 3⁄100 +

4⁄1000

5) 745.148 700 + 40 + 5 + 1⁄10 + 4⁄100 +

8⁄1000

6) 683.641 600 + 80 + 3 + 6⁄10 + 4⁄100 +

1⁄1000

7) 16.19 10 + 6 + 1⁄10 + 9⁄100

8) 98.15 90 + 8 + 1⁄10 + 5⁄100

9) 316.13 300 + 10 + 6 + 1⁄10 + 3⁄100

10) 47.194 40 + 7 + 1⁄10 + 9⁄100 +

4⁄1000

11) 6.139 6 + 1⁄10 + 3⁄100 +

9⁄1000

12) 544.26 500 + 40 + 4 + 2⁄10 + 6⁄100

13) 68.6 60 + 8 + 6⁄10

14) 974.34 900 + 70 + 4 + 3⁄10 + 4⁄100

15) 637.6 600 + 30 + 7 + 6⁄10

Convert each number to expanded form.Numeric Form to Expanded Form with Decimals


Name:

1 Math

Name:

www.CommonCoreSheets.com 1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) 73.273 seventy-three and two hundred seventy-three thousandths

1) 7.005 seven and five thousandths

2) 983.53 nine hundred eighty-three and fifty-three hundredths

3) 26.17 twenty-six and seventeen hundredths

4) 693.152 six hundred ninety-three and one hundred fifty-two thousandths

5) 525.048 five hundred twenty-five and forty-eight thousandths

6) 3.026 three and twenty-six thousandths

7) 8.638 eight and six hundred thirty-eight thousandths

8) 795.09 seven hundred ninety-five and nine hundredths

9) 751.221 seven hundred fifty-one and two hundred twenty-one thousandths

10) 4.445 four and four hundred forty-five thousandths

11) 67.03 sixty-seven and three hundredths

12) 5.838 five and eight hundred thirty-eight thousandths

13) 17.005 seventeen and five thousandths

14) 68.065 sixty-eight and sixty-five thousandths

15) 896.089 eight hundred ninety-six and eighty-nine thousandths

16) 123.76 one hundred twenty-three and seventy-six hundredths

17) 96.343 ninety-six and three hundred forty-three thousandths

18) 36.4 thirty-six and four tenths

19) 7.589 seven and five hundred eighty-nine thousandths

20) 38.3 thirty-eight and three tenths

Numeric Form to Word Form with DecimalsConvert each problem to word form.

1


Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

1) 6.81 > 6.37

2) 6.32 < 6.5

3) 2.216 > 2.149

4) 6.48 < 6.99

5) 5.75 = 5.750

6) 2.59 < 2.684

7) 8.538 > 8.122

8) 6.81 > 6.1

9) 4.2 = 4.2

10) 6.5 > 4.5

11) 5.44 < 5.57

12) 3.56 > 3.434

13) 7.84 = 7.840

14) 3.626 = 3.626

15) 9.9 > 9.7

16) 7.756 = 7.756

17) 9.7 < 9.924

18) 7.0 < 7.085

19) 3.42 < 4.42

20) 5.8 = 5.80

1. >

2. <

3. >

4. <

5. =

6. <

7. >

8. >

9. =

10. >

11. <

12. >

13. =

14. =

15. >

16. =

17. <

18. <

19. <

20. =

Comparing Decimals (Thousandths)Use '' or ' = ' to compare the numbers.


Name:

Answers

1-10 95 90 85 80 75 70 65 60 55 5011-20 45 40 35 30 25 20 15 10 5 0

Ex) A. 53 .783B . 53 .65C . 53D. 53 .063

1) A. 66 .08 7B . 67C . 66 .87D. 66 .6

2) A. 7 .67B . 7C . 7 .72D. 7 .38

3) A. 38 .48B . 38 .84C . 38 .126D. 38 .18

4) A. 9 .6B . 9 .48C . 9 .62D. 9 .608

5) A. 6 .81B . 7C . 6 .65D. 6 .967

6) A. 5B . 5 .3C . 5 .16 9D. 5 .121

7) A . 56 .42 5B . 57C . 56 .15D . 56 .69 3

8) A. 19 .608B . 19 .99C . 19 .54D. 20

9) A. 8 .403B . 8 .11C . 8 .31 1D. 8 .4

10) A. 5 .4B . 5C . 5 .599D. 5 .45

11) A. 4 .1B . 4C . 4 .3D . 4 .376

12) A. 9 .007B . 9 . 4 61C . 9 . 0 2D. 9 .05

13) A. 63 .366B . 63 .44C . 63 .415D. 63

14) A. 7 .718B . 7 .66C . 7D. 7 .98

15) A. 34 .76B . 34 .35C . 34 .03D. 34 .347

16) A. 6 .07B . 6 .98C . 6 .94D. 6 .978

17) A. 38 .51B . 38 .733C . 38 .7D . 38 .17

18) A. 5 .57B . 6C . 5 .533D. 5 .05

19) A. 42 .232B . 42 .493C . 42 .579D. 42

20) A. 4 .021B . 4 .559C . 4 .37D. 4

Ex. C,D,B,A

1. A,D,C,B

2. B,D,A,C

3. C,D,A,B

4. B,A,D,C

5. C,A,D,B

6. A,D,C,B

7. C,A,D,B

8. C,A,B,D

9. B,C,D,A

10. B,A,D,C

11. B,A,C,D

12. A,C,D,B

13. D,A,C,B

14. C,B,A,D

15. C,D,B,A

16. A,C,D,B

17. D,A,C,B

18. D,C,A,B

19. D,A,B,C

20. D,A,C,B

Ordering Decimal NumbersOrder the numbers from least to greatest.

1


Name:

Answers

1-10 11-20

95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0

1) Round to the nearest tenth. 8.54 8.5

2) Round to the nearest whole number. 99.59 100





7) Round to the nearest hundredth. 118.380 118.38














1. 8.5

2. 100

3. 310.3

4. 6

5. 7

6. 9.7

7. 118.38

8. 90.7

9. 65.9

10. 71

11. 76.68

12. 815.76

13. 877.7

14. 12.26

15. 16

16. 96

17. 2.41

18. 3.99

19. 76

20. 716.51

Rounding DecimalsRound each number to the correct place value.


Name:

Answers

1-10 11-20

95 90 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0





















1. 17

2. 39.3

3. 982

4. 487.36

5. 22.70

6. 10

7. 56.8

8. 73

9. 6.9

10. 4

11. 987

12. 159.41

13. 2.19

14. 58.14

15. 2.15

16. 10.89

17. 5

18. 11.4

19. 54.8

20. 467.7

Rounding DecimalsRound each number to the correct place value.

2

Solving with Parenthesis Name: Answers › uploads › 9 › 6 › 0 › ...5 6 Math Math 11-20 Name:Solving with Parenthesis Answers 1-10 95 90 85 80 75 70 65 6055 50 45 40 35 30

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