Download Name: ______ Class period: ______ Multiplying and Dividing

Name: ___________
Class period: _____________
Multiplying and Dividing Scientific Notation:
(Must be written in Scientific Notation)
1.
2.
3.
4.
5.
6.
7.
(5.5 X 10²) (6. X 10¹)
(6.5 x 10⁶) (7 x 10⁸)
(5 x 10⁶)(5 x 10³)
(2.3 x 10⁶)(2.3 x 10³)
(2.5 x 10¹)(2.3 x 10⁶)
(2.1 x 10³)(3.2 x 10⁶)
(2 x 10⁸)(2 x
)
8. (2.3 x
)( 2.4 x 10⁶)
9. (1.5 x 10³)(1.5 x 10⁶)
10.
(3 x 10⁸)(2 x 10⁶)
11.
(3 x 10⁸) ÷( 3 x 10⁴)
12.
(9 x 10⁸)÷(3 x 10⁵)
13.
(2.5 x 10⁸) ÷ (5 x 10⁴)
14.
(6 x 10³) ÷ ( 2 x 10⁸)
15.
(3.2 x 10³) ÷ (2 x 10¹)
16.
(4.8 x 10⁸) ÷ (4 x 10⁹)
17.
( 8 x 10⁸) ÷ (2 x 10¹)
18.
( 1.2 x 10⁵) ÷ (2 x 10⁸)
19.
(1.4 x 10⁶) ÷ (7 x 10²)
20.
(8 x 10⁶) ÷ (4 x 10²)
Write in Scientific Notation:
21.
4,480,000
24.6 x 10⁶
22. 4,989
25. 304.2 x 10⁶
26,000,000,000
26. 0.0002 x 10⁶
23. 5,000,000,000
27. 55,000 28.
24.
29. 0.00000004
30. 0.0005
Write in Standard Form:
31. 5.5 x 10⁸
2.1 x 10⁹
32 4.56 x 10²
35. 5.6 x
33. 2.0004 x 10⁹
36. 6.002 x
34.
37. 4.2 x
38. 2.7 x 10⁰
Simplify:
39.
40.
44.
41.
45.
42.
46.
43.
47.
48.
10³÷10⁹
49. f³(f⁹)(f²)
50.
(
)(
)
51. 2⁹(2²)(2⁰)
52.
3²(2³)(3⁶)
53. f²g⁶ (f³g³)
54. 2x⁶ (3x³)
55. 2x²(2.5x⁹)
Place in order from Least to Greatest:
56. -4, -10,-5.5, -2,-2.3
57. 23, 22.5, 2 , 2 , 2.25, 2.05
58.
59. 0.07, 0.007, 0.7, 0.09, 0.008
,
8, 4.5, 120, 12
Name the Property:
60. 2(g + 5) = 2(g) + 2(5)
61. 2(3 x 4) = (2x3)4
62. 2+3+4 = 4+3+2
63. 5 x 1 = 5
64. 5+0=5
Classify the numbers:
65. -4 is
A,B,&C
A. Integer B. Rational
C. Real
66. -2.2 is A. Integer B. Irrational
B, and C
67. π is
A. Irrational
E. A,B,&C
D. Irrational
C. Whole D. Rational
B. Rational
C. whole
E.
E. A,
D. Imaginary
Order of Operations:
68. 6+2 (4-2+3)
69. 3²+3²(4-2 +7²)
71.
70. 2³(2+4)-10
72.
73. David ran for a gain of 3 yards for the first down then he ran for a
gain of 12 yards on the second down, on the 3rd down the quarter back
was sacked with a loss of 4 yards. How many yards total were gained?
Explain your answer.
74. Chris went up and elevator from the 4th floor to the 6th floor. Chris
then got on again and went up the 12th floor and then went to down to
the first floor. Draw a picture of Chris’s trip and explain the total
number of floors Chris travelled throughout his trip.
=
A.
B. h⁶
C.
D. none of these
=
A.
B.
C.
D. none of these
77.
Christy simplified the problem below. Did Christy simplify
correctly?
=
x
How would you simplify the problem above and how does this
compare to Christy’s answer?
Simplify the problems below:
78.
h⁶(b²)(h²)= A. hb¹⁰ B. b²h¹⁰ C.b²h⁸ D. none of
these
79.
(6)²(6)⁰ = A. 6³ B. 6² C. 6⁰ D. none of these
80.
(5²)³= A. 5⁵
B.
81.
(5⁵)(5³)² = A. 5¹¹
C. 5⁶
B.5³⁰
D. none of these
C. 5¹⁰
D. none of these
True or False
82.
83.
84.
85.
86.
=
True or False
(6⁶)²= 6² x 6² True or False
(5⁶)² = 5⁶x5⁶ True or False
= (-5)(-5)(-5)(-5)(-5) True or False
=
True or False
Make all false statements into true statements below.
1)
Which number is not a rational number?
a)
10
b)
49
c)
d)
2)
3)
2
3
-3.28
Which number is a whole number but not a natural number?
a)
-1
b)
12
c)
0
d)
3.27
Order the numbers below from least to greatest.
1.25, - 173 , -6.19,
15
9
a)
15
9
b)
1.25,
c)
-6.19, -5, - 173 , 0, 1,
, -5, 0, 1
, 1.25, 1, 0, -5, - 173 , -6.19
15
9
, 1, 0, - 173 , -5, -6.19
15
9
1.25
d)
4)
-6.19, - 173 , -5, 0, 1, 1.25,
15
9
Perform the following operations.
Step 1
-6 – (-3) = __
Step 2
Multiply the answer in step 1 by - 23 .
Step 3
Divide the answer in step 2 by 45 .
What is the final answer?
5)
6)
7)
(-1 14 )
a)
-7.5
b)
-2.5
c)
2.5
d)
7.5
Which of the following has the smallest value?
a)
-|-5|
b)
-6 ÷
c)
The additive inverse of
d)
-3.75 + 1 12
3
7
13
5
Which of the following has a value that is a natural number?
I. -3.8 ÷ -1 109
II. ( 73 )(-7)(0)
III. -2 43 + 7.5 –
a)
I and II
b)
II and III
c)
I and III
d)
I, II, and III
8) Which of the following would make the number sentence below true?
-8.75 < ______ < -2 85
a)
- 283
b)
-8.79
c)
- 239
d)
-1.87
9) The opposite of - 135 is _____.
|- 135 | = _____.
Which number below would make both of these sentences true?
a)
- 135
b)
- 135
c)
5
13
d)
13
5
10) Which property is illustrated below?
x+3=3+x
11)
12)
13)
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Indicative Property of Addition
d)
Distributive Property of Addition
Simplify: 4  5 – 4 ÷ 2 + 6
a)
7
b)
8
c)
14
d)
24
Simplify: (a2)10
a)
10a
b)
a5
c)
a12
d)
a20
If a = 6 and b = -2, then evaluate the expression below.
4a – 2b + 12
14)
a)
-32
b)
-8
c)
40
d)
52
Evaluate: 0.2836 × 103
a)
0.0002836
b)
28.36
c)
283.6
d)
2,836
The mass of a dust particle is 0.000000000753 kg. Give the particle’s
mass in scientific notation.
15)
a)
7.53 × 10-9
b)
7.53 × 10-10
c)
7.53 × 10-12
d)
753 × 10-15
Evaluate: 42 +
a)
8
b)
10
c)
12
4
d)
16)
17)
18)
19)
18
Solve:
a)
-8
b)
13
8
c)
8
3
d)
8
3x – 8 = 16
Convert 7.892 × 106 to standard form.
a)
0.000007892
b)
0.007892
c)
7,892,000
d)
789,200,000
Evaluate: 48.278 ÷ 104
a)
0.0048278
b)
0.48278
c)
48,278
d)
482,780
Simplify:
(4.2 × 106) × (2 × 103)
20.)
a)
0.84 × 1018
b)
8.4 × 109
c)
84 × 1010
d)
8.4 × 1018
Evaluate: 25 - 32
a)
-1
b)
4
c)
7
d)
23
21.) What expression is equivalent to
xxxyy
rrrr
a)
x 3y 2
b)
3x ( 2 y)
4r
c)
x 2y3
r4
r4
d)
x3
y2r 4
22.) Which expression is equivalent to x  x  x  x  y  y  y  y  y  y  z 
z?
23.)
24.)
a)
(xyz)20
b)
(4x)(5y)(2z)
c)
x4y5z2
d)
(x2y3z)2
Simplify: (8 – 2)2 + 3 • 12
a)
180
b)
468
c)
72
d)
48
Simplify: 4(2x + 3) – 6
a)
8x + 18
b)
8x + 6
c)
8x -12
d)
8x + 12