Name ______________________________

Teacher ____________________________

Math 8

Date _______________________________

8th Grade Summer Math Packet Due Date: Tuesday, August 16th

Solve the following problems in your packet. Show all of your work and circle

your answers. No work = no credit. This packet will count as a test grade.

You may turn it in early for five bonus points. To turn your summer math

packet early, you need to give it to your teacher when you pick up your

supplies and get your locker. You may also earn the five bonus points by

turning in your packet on the first day of school. Do not have it placed in

your teacher’s box. Thanks ahead of time for your hard work.

Grade: ___________

110

Rounding

Round to the nearest …

1) hundred: 34,582 2) ten: 5632

3) thousand: 678,835 4) one: 56.4

5) hundred thousand: 7,894,123

Number Correct:

More Rounding

Round to the nearest …

6) tenth: 67.843 7) ten-thousandth: 0.006754

8) thousandth: 1098.78954 9) hundredth: 987.6234

10) hundred-thousandth: 23.456783

Number Correct:

Prime Factorization

Determine the prime factorization of each number.

11) 24 12) 35

Number Correct on page: __________

Determine the prime factorization of each number.

13) 82 14) 96

15) 150

Number Correct:

GCF

Find the greatest common factor.

16) 30 and 42 17) 56 and 70

18) 32 and 81 19) 12, 18, and 30

20) 16, 28, and 56

Number Correct:

Number Correct on page: __________

LCM

Find the least common multiple.

21) 12 and 15 22) 10 and 16

23) 9 and 26 24) 30, 45, and 150

25) 18, 30, and 60 Number Correct:

Adding Whole Numbers

26) 99 + 99 27) 81 + 319

28) 9009 + 991 29) 1245 + 25 + 605

30) 727 + 35 + 6054 Number Correct:

Number Correct on page: __________

Subtracting Whole Numbers

31) 68 – 43

32) 2800 – 19

33) 951 – 27

34) 9910 – 99 – 543

35) 6000 – 543 – 876 Number Correct:

Multiplying Whole Numbers

36) 50 ∙ 14 37) 15 ∙ 345

38) 123 ∙ 4,567 39) 3000 ∙ 23 ∙ 62

40) 902 ∙ 35 ∙ 8 Number Correct:

Number Correct on page: __________

Dividing Whole Numbers

41) 76,925

85 42)

2436

12

43) 3969

63 44)

18,772

361

45) 180,612

6 Number Correct:

Adding Decimals

46) 3.6 + 2 47) 9.3 + 5.008

48) 9.9 + 9.9 + 60.003 + 78

49) 0.81 + 3.019 + 649

50) 7.3 + 8.75 + 7 + 900 Number Correct:

Number Correct on page: __________

Subtracting Decimals

51) 28.3 – 19.6 52) 33 – 32.77

53) 48.1 – 34.799 – 4 54) 5.625 – 2.5 – 0.4567

55) (11.1 – 0.04) – (3 – 2.543) Number Correct:

Multiplying Decimals

56) 4.2(1.8) 57) 1.5 ∙ 0.2 ∙ 100

58) 3.7(0.14) 59) 3.14 ∙ 7.891 ∙ 8.0002 ∙ 0 ∙ 9.99

60) 0.0001 ∙ 6.25 ∙ 9 Number Correct:

Number Correct on page: __________

Dividing Decimals

61) 170.85

85 62)

6.96

5.8

63) 10.2034

3.4 64)

2130.3

2.63

65) 40.941

4.5

Number Correct:

Adding Fractions/Mixed Numbers

Answer in simplest form (lowest terms).

66) 8

15 +

2

3 67) 4

1

4 +

3

5

68) 17

9 +

5

36 + 4

1

4

69) 51

2 + 3

3

14 + 6

2

7

70) 5

42 + 5

8

14 + 17

5

7 Number Correct:

Number Correct on page: __________

Subtracting Fractions/Mixed Numbers

Answer in simplest form (lowest terms).

71) 7

9 -

1

6 72) 3

2

5 - 2

3

4

73) 16 - 65

8 74) 7

1

5 - 1

5

6

75) 31

2 - 2

2

5 Number Correct:

Multiplying Fractions/Mixed Numbers

Answer in simplest form (lowest terms).

76) 3

5(15) 77)

2

5(

5

6)

78) 11

6(2

2

5) 79) 3

3

4(2

2

5)(

1

3)

80) (111

2)(8) Number Correct:

Number Correct on page: ___________

Dividing Fractions/Mixed Numbers

Answer in simplest form (lowest terms).

81) 5

61

2

82) 4

2

3

11

6

83) 7

1

7

61

4

84) 12

1

337

3

85) 3

1

4

51

2

Number Correct:

Adding Integers

86) -7 + 9 87) -6 + -4 + 8 + -13

88) 88 + -59 + -88 + 59 89) 200 + -98 + 18 + 23 + -45

90) -136 + -215 + 67 Number Correct:

Subtracting Integers

91) 4 – 9 92) 28 – (-19)

Number Correct on page: __________

93) -89 – (-89) 94) [79 – (-10)] – [-41 – (-64)]

95) -31 – (4 – 61) Number Correct:

Multiplying Integers

96) (-2)(-12) 97) -16(5)

98) -3 ∙ -7 ∙ 5 ∙ -2 99) 12 ∙ -4 ∙ -5 ∙ 2

100) (-2)(3)(-4)(5)(-6)(0)(7)(-8)(9) Number Correct:

Dividing Integers

101) 63

−7 102)

−455

−5

103) −639

9 104)

−108

−12

105) 6435

−165

Number Correct:

Number Correct on page: __________

Order of Operations

106) 18 + 12 ÷ -6 – 4 × -2 107) [7 ∙ -5 – 24 + (32 – 4)2]

108) 4.7(3.1 – 5.6) – 1.22+ 2.6

0.5 109)

8

9 ÷

2

3 ∙ −

3

4

110) 2[(62 – 2 ∙ 32) – 9 ÷ 3] Number Correct:

Number Correct on page: __________