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4/27 Pre Algebra Review

4/27 Pre Algebra Review

Assessment

Presentation

•

Mathematics

•

8th Grade

•

Hard

•
CCSS
8.EE.A.3, 8.EE.A.4, 8.EE.A.2

+8

Standards-aligned

Created by

Megan Ools

Used 3+ times

FREE Resource

14 Slides • 74 Questions

1

Scientific Notation is a way to write very large and small numbers using powers of 10.

​

Scientific Notation

media

​The larger the exponent, the bigger the number.

2

Multiple Choice

Question image

If the exponent on the power of 10 is a positive number...

1

you will get a large number that is greater than 1

2

you will get a smaller number that is less than 1

3

Multiple Choice

Question image

Which of the following numbers is written in correct scientific notation?

1

64.2⋅10264.2\cdot10^2  

2

6.42⋅1036.42\cdot10^3  

3

0.642⋅1040.642\cdot10^4  

4

62406240  

4

Multiple Choice

Question image

Which of these numbers is the smallest?

1

3.5 x107

2

3 x108

3

5 x107

4

5.5 x106

5

Dropdown

Question image
To compare two numbers that are in scientific notation, first compare the​
. If they are the same, then compare the​
.​

6

Multiple Choice

Which of these numbers is the greatest?

1

9 x 109

2

8.1 x1010

3

9.02 x109

4

6.35 x1010

7

For any numbers that are less than 1, we write the number using a positive power of 10​.

The larger the number, the greater the exponent.

Scientific Notation: How to

media

8

For any numbers that are greater than 1, we write the number using a positive power of 10​.

The larger the number, the greater the exponent.

Scientific Notation: How to

media

9

Multiple Choice

How is the following number written in scientific notation?

450,000

1

4.5  x  105

2

45  x  105

3

4.5  x  104

4

4.5  x  106

10

Multiple Choice

How is the number below written in scientific notation?

0.000398

1

39.8  x  10-5

2

3.98  x  10-5

3

3.98  x  10-4

4

39.8  x  10-6

11

Multiple Choice

Which of the following is the correct way to write 3.97  x  10-2 in standard form?

1

0.000397

2

0.0397

3

0.0000397

4

0.397

12

Multiple Choice

Which is the correct way to write the number 3.5 x 106  in standard notation?

1

0.0000035

2

35,000,000

3

3,500,000

4

0.00000035

13

Multiple Choice

7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
1

Large

2

Small

3

Basic

14

Multiple Choice

7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
1

Large

2

Small

3

Basic

15

Multiple Choice

Change from standard form to scientific notation: 12,000,000
1

12.0  x  107

2

0.12  x  107

3

1.2  x  106

4

1.2  x  107

16

Multiple Choice

Change from standard form to scientific notation:  450,000
1

4.5  x  105

2

45  x  105

3

4.5  x  104

4

4.5  x  106

17

Multiple Choice

Change from standard form to scientific notation:  0.000398
1

39.8  x  10-5

2

3.98  x  10-5

3

3.98  x  10-4

4

39.8  x  10-6

18

Multiple Choice

Change from standard form to scientific notation: 0.004078
1
4.078  x  10-3
2
4.078  x  103
3
40.78  x  10-4
4
.4078  x  10-2

19

Multiple Choice

125,678,000: Change to scientific notation
1

1.25678  x  1012

2

.125678  x  10-9

3

12.5678  x  108

4

1.25678  x  108

20

Multiple Choice

Try to change the number back to standard form:  6.79  x  104
1

679,000

2

6,790

3

67,900

4

6,790,000

21

Multiple Choice

Try to change the number back to standard form: 3.97  x  10-2
1

0.000397

2

0.0397

3

0.0000397

4

0.397

22

Multiple Choice

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
1

1

2

10

3

100

4

1,000

23

Multiple Choice

How would you write 0.0005 in scientific notation?
1

50 x 105

2

5 x 104

3

5 x 103

4

.5 x 103

24

Multiple Choice

How would you write -5.6 x 10-3 in standard form?
1

0.0056

2

-5,600

3

0.00056

4

-0.0056

25

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.
1

50

2

5

3

100

4

10

26

Multiple Choice

Which of the following in the LARGEST number?
1

9 x 106

2

8 x 1010

3

1.3 x 1012

4

5.3 x 103

27

Multiple Choice

Which of the following numbers is the SMALLEST?
1

8.7 x 103

2

3 x 104

3

1.3 x 108

4

9 x 102

28

Multiple Choice

Order the following from greatest to least:
 5 x 103 
 3.2 x 108
 1.2 x 108
 7 x 105 
1

 7 x 105 ,  5 x 103 ,  3.2 x 108,  1.2 x 108

2

 3.2 x 108, 1.2 x 108,  7 x 105, 5 x 103 

3

 1.2 x 108, 3.2 x 108,  5 x 103 , 7 x 105 

29

Multiple Choice

Place the following numbers in order from least to greatest:

7.8 x 106, 5.1 x 104, 1.25 x 105, 4.09 x 104

1

4.09 x 104,

1.25 x 105,

5.1 x 104,

7.8 x 106

2

4.09 x 104,

5.1 x 104,

1.25 x 105,

7.8 x 106,

3

1.25 x 105,

4.09 x 104,

5.1 x 104,

7.8 x 106,

30

Multiple Choice

The diameter of the planet Mercury is

4.87 x 103 km. The diameter of the planet Venus is 1.21x104 km. The diameter of the planet Mars is 1.28 x 103 km.

Which planet has the smallest diameter?

1

Mercury

2

Mars

3

Venus

31

Multiple Choice

Order the following from

greatest to least:

5 x 103

3.2 x 108

1.2 x 108

7 x 105

1

7 x 105 , 5 x 103 , 3.2 x 108, 1.2 x 108

2

3.2 x 108, 1.2 x 108, 7 x 105, 5 x 103

3

1.2 x 108, 3.2 x 108, 5 x 103 , 7 x 105

32

Multiplication and Division of Scientific Notation

Unit 1 - Lesson 3

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33

Multiplication in Scientific Notation

BUT FIRST...

34

Multiple Choice

Simplify: 3x2 ⋅ 4x5Simplify:\ 3x^2\ \cdot\ 4x^5  

1

7x77x^7  

2

12x712x^7  

3

7x107x^{10}  

4

12x1012x^{10}  

35

Remember when multiplied powers?

First we MULTIPLY the coefficients and then we apply the product rule:


When you multiply powers with the same base you keep the base and ADD the exponents

36

What about scientific notation?

Actually its exactly the same thing!!

37

Multiple Choice

Simplify: 3×102 ⋅ 4×105Simplify:\ 3\times10^2\ \cdot\ 4\times10^5  

1

7×1077\times10^7  

2

12×101012\times10^{10}  

3

7×10107\times10^{10}  

4

12×10712\times10^7  

38

media

39

Multiple Choice

Solve:

(2.1×10​2​​) × (3.0×10​4)

1

5.1 x 102

2

6.3 x 106

3

5.1 x 106

4

6.3 x 108

40

Multiple Choice

Multiply:
(-3 x 105)(1 x 10-2)
1

3 x 103

2

3 x 107

3

-3 x 103

4

-3 x 10-10

41

Multiple Choice

Multiply:
(2 x 10-9)(-4 x 10-8)
1

8 x 10-17

2

8 x 10-1

3

-8 x 1017

4

-8 x 10-17

42

Multiple Choice

Find the product. Write your answer in proper scientific notation.

(5 x 106)(3 x 108)

1

15 x 1014

2

1.5 x 1014

3

1.5 x 1015

4

1.5 x 1013

43

Division in Scientific Notation

BUT FIRST...

44

Multiple Choice

Simplify: 6x82x4Simplify:\ \frac{6x^8}{2x^4}  

1

3x43x^4  

2

4x44x^4  

3

3x23x^2  

4

4x24x^2  

45

Remember when we divided powers?

First we DIVIDE the coefficients and then we apply the quotient rule:


When you divide powers with the same base you keep the base and SUBTRACT the exponents

46

Multiple Choice

Simplify: 6×1082×104Simplify:\ \frac{6\times10^8}{2\times10^4}  

1

3×1023\times10^2  

2

4×1044\times10^4  

3

3×1043\times10^4  

4

4×1024\times10^2  

47

media

48

Multiple Choice

(8 x 1055) ÷ (2 x 1052)

1

6 x 103

2

4 x 103

3

4 x 10107

4

4 x 1055

49

Multiple Choice

Solve: (9×10−6)(3×10−3)\frac{(9\times10^{-6})}{(3\times10^{-3})}  

1

27×10−927\times10^{-9}  

2

3×10−33\times10^{-3}  

3

3×10−93\times10^{-9}  

4

27×10−327\times10^{-3}  

50

Multiple Choice

(6.9×107)(2.3×10−3)\frac{(6.9\times10^7)}{\left(2.3\times10^{-3}\right)}  

Divide: (6.9 x 107) / (2.3 x 10-3)

1

3×10103\times10^{10}  

2

3×1043\times10^4  

3

3×10−43\times10^{-4}  

4

4.6×10104.6\times10^{10}  

51

Multiple Choice

Find the quotient. Write your answer in proper scientific notation.

2 x 108 ÷ 8 x 104

1

0.25 x 104

2

4 x 104

3

2.5 x 103

4

2.5 x 102

52

Multiple Choice

What is 144\sqrt[]{144}  ?

1

144

2

144

3

12

4

288

53

Multiple Choice

What is 64\sqrt[]{64}  ?

1

64

2

8

3

32

4

128

54

Multiple Choice

What is 4\sqrt[]{4}  ?

1

2

2

4

3

8

4

16

55

Multiple Choice

What is 36\sqrt[]{36}  ?

1

36

2

6

3

18

4

72

56

Multiple Choice

What is 100\sqrt[]{100}  ?

1

10

2

100

3

200

4

1

57

Multiple Choice

A perfect square is a number whose square root is ___________.

1

even

2

a never-ending

(non-terminating) decimal

3

rational

4

odd

58

Multiple Choice

To find the square root of a number, you must divide it by 2.
1

True

2

False

59

Multiple Choice

The √20 is between which two consecutive integers?
1

2 & 3

2

3 & 4

3

4 & 5

4

5 & 6

60

Multiple Choice

Between which two consecutive whole numbers is the√200? 
1

13 and 14

2

15 and 16

3

14 and 15

4

11 and 12

61

Multiple Choice

x² = 121
What does x equal?
1

11²

2

11 and -11

3

20 and 11

4

12 and 1

62

Multiple Choice

Which number has a square root that is between 7 and 8?

1

48

2

81

3

60

4

36

63

Multiple Choice

The number 500...
1

is a perfect square.

2

is not a perfect square.

64

Multiple Choice

172 =

1

34

2

289

3

225

4

324

65

Multiple Choice

List in order from least to greatest.
5/4, 56%, 1.07, 4/5
1

5/4, 56%, 1.07, 4/5

2

1.07, 4/5, 5/4, 56%

3

56%, 1.07, 4/5, 5/4

4

56%, 4/5, 1.07, 5/4

66

Multiple Choice

Which list of numbers is in order from least to greatest?

1

A √23, 5, 6, 43%

2

B 5, √23, 6, 43%

3

C 43%, 5, √23, 6

4

D 43%, √23, 5, 6

67

Multiple Choice

Order from least to greatest:
6.9, √37, √25, 28/4
1

6.9, √37, √25, 28/4

2

28/4, 6.9, √37, √25, 

3

√37, √25, 28/4, 6.9

4

√25, √37, 6.9, 28/4

68

Multiple Choice

Order from greatest to least:
14/5, √5,  √4, 1.8
1

14/5, √5, √4, 1.8

2

√4, √5, 14/5, 1.8

3

14/5, √5,  √4, 1.8

4

1.8, √4, √5, 14/5

69

Rational

Values that can be written as a fraction.


Look for: fractions, whole numbers, terminating decimals, repeating decimals, and perfect squares.

70

Irrational

Values that can NOT be written as a fraction.


Look for: Never-ending non-repeating decimals, pi, and imperfect squares.

71

media

72

Multiple Choice

Categorize the following:  34\frac{3}{4}   

1

Rational

2

Irrational

73

Multiple Choice

Categorize the following:  −32-32  

1

Rational

2

Irrational

74

Multiple Choice

Categorize the following:  5.984732...5.984732...  

1

Rational

2

Irrational

75

Multiple Choice

Categorize the following:  7.5‾7.\overline{5}  

1

Rational

2

Irrational

76

Multiple Choice

Categorize the following:  −2.3-2.3  

1

Rational

2

Irrational

77

Multiple Choice

Categorize the following: 36\sqrt{36}  

1

Rational

2

Irrational

78

Multiple Choice

Categorize the following: 15\sqrt{15}  

1

Rational

2

Irrational

79

Multiple Choice

Classify the following: 64\sqrt{64}  

1

Rational

2

Irrational 

3

Neither 

4

Both 

80

Multiple Choice

Classify the following: 34\frac{3}{4}  

1

Rational

2

Irrational

3

Neither

4

Both 

81

Multiple Choice

Is the following rational? 2\sqrt{2}  

1

Yes 

2

No

3

Sometimes

4

Um... 

82

Multiple Choice

Classify the following: −17-17  

1

Rational 

2

Irrational

3

Neither

4

Both 

83

Multiple Choice

Is the following irrational? −96.33‾-96.\overline{33}  

1

Yes

2

No

3

Sometimes

4

I wanna say "Larry"...

84

Multiple Choice

Classify the following: π\pi  

1

Rational 

2

Irrational 

3

Neither

4

Both 

85

Multiple Choice

Classify the following: 0.5250.525  

1

Rational 

2

Irrational 

3

Neither

4

Both 

86

Multiple Choice

Which of the following numbers is not rational?

1

−3-3

2

2.72.7

3

4\sqrt{4}

4

5\sqrt{5}

87

Multiple Choice

Which of the following number is rational?

1

127\sqrt{127}

2

π\pi

3

2.52.5

4

8.98763...8.98763...

88

Multiple Choice

Which of the following is an irrational number?

1

0\sqrt{0}

2

3\sqrt{3}

3

1.36‾1\overline{.36}

4

−0.19-0.19

pattern-tertiary

Scientific Notation is a way to write very large and small numbers using powers of 10.

​

Scientific Notation

media

​The larger the exponent, the bigger the number.

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