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CW: Scientific Notation

Total questions: 70

Worksheet time: 5hrs 15mins

Name
Class
Date
1.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
2.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
3.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
4.
Write in standard form: 
8 x 104
a)
8,000
b)
80,000
c)
.00008
5.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
6.
Write in scientific notation: 
0.0000378 
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
7.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
8.
What is the standard form?
1.245 x 103
a)
0.001245
b)
12.45
c)
1245
9.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
10.
Convert to scientific notation:
520,000,000  
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
11.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
12.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

13.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
14.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
15.
Which number is the greatest?
a)
5.25 x 105
b)
2.55 x 105
c)
5.55 x 105
d)
5 x 105
16.
Which of these numbers is the least?
a)
3.5 x 107
b)
5 x 107
c)
3 x 107
d)
5.5 x 107
17.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
18.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
19.
Put the following number in scientific notation
0.004362
a)
4.362 x 103
b)
4.362 x 10-3
c)
0.4362 x 10-2
d)
43.62 x 10-4
20.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
21.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
22.
Express the following in scientific notation:
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
23.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
24.
Multiply:
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
25.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
26.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
27.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
28.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
29.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
30.
(5 x 106)(5 x 107)
a)
2.5 x 1012
b)
2.5 x 1014
c)
25 x 1012
d)
25 x 1013
31.
(2.13 * 104) / (7.1 * 102)
a)
0.3 * 102
b)
3 * 106
c)
3 * 102
d)
3 * 10
32.
(9.6×10-8)÷(2×10-15)
a)
-4.8×107
b)
4.8×107
c)
4.8×10-7
d)
-4.8×10-7
33.
(9.6×103) × (6.7×102)
a)
64.32×105
b)
6.432×106
c)
64.32×106
d)
64.32×105
34.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
35.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
36.

Simplify the following expression:


( 2 X 104 ) ( 3 X 106 )

a)

5 X 1010

b)

5 X 1024

c)

6 X 1010

d)

6 X 1024

37.

Simplify the following expression:


( 6 X 1014 ) / ( 8 X 107 )

a)

0.75 X 10 7

b)

7.5 X 10 6

c)

7.5 X 10 8

d)

0.75 X 10 2

38.

Simplify the following expression:


( 7 X 108 ) ( 4 X 1013 )

a)

2.8 X 10 22

b)

2.8 X 10 21

c)

2.8 X 10 20

d)

28 X 10 21

39.

Simplify the following expression:


( 4.6 X 10 -18 ) ( 9.8 X 107 )

a)

4.508 X 10 -11

b)

45.08 X 10 -11

c)

4.508 X 10 -10

d)

4.508 X 10 -12

40.

Simplify the following expression:


( 42 X 10 -6 ) / ( 3 X 10 2 )

a)

14 X 10 -8

b)

1.4 X 10 -8

c)

1.4 X 10 -9

d)

1.4 X 10 -7

41.
Convert the following number to scientific notation:
12,000,000
a)
1.2 x 107
b)
1.2 x 106
c)
12 x 107
42.
Convert the following number to scientific notation:
345,000
a)
3.45 x 103
b)
3.45 x 106
c)
3.45 x 105
43.
Which of the following numbers is the least?
a)
7 x 108
b)
7.1 x 108
c)
7 x 109
d)
7.1 x 109
44.
Which number is the greatest?
a)
5.25 x 105
b)
2.55 x 105
c)
5.55 x 105
d)
5 x 105
45.
Order the following from greatest to least:
 5 x 103 
 3.2 x 108
 1.2 x 108
 7 x 105 
a)
 7 x 105 ,  5 x 103 ,
 3.2 x 108,  1.2 x 108
b)
 3.2 x 108, 1.2 x 108,  7 x 105, 5 x 103 
c)
 1.2 x 108, 3.2 x 108,
 5 x 103 , 7 x 105 
46.
Which of these number is the least?
a)
3.5 x 107
b)
5 x 107
c)
3 x 107
d)
5.5 x 107
47.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

48.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

49.

Divide:

 1.05×10125×104\frac{1.05\times10^{12}}{5\times10^4}  

a)

 0.21×1030.21\times10^3  

b)

 2.1×1072.1\times10^7  

c)

 0.21×1080.21\times10^8  

d)

 2.1×1092.1\times10^9  

50.

Which of these numbers is correctly written in scientific notation?

a)

1234x10-3

b)

10.5x109

c)

1.234x1011

d)

.5x104

51.
What is scientific notation?
a)
A long way to write numbers containing a few digits
b)
A short way to write numbers containing many, many digits
c)
A number written without exponents
d)
None of the above
52.


(4.1×105)+(5.5×106)\left(4.1\times10^5\right)+\left(5.5\times10^6\right)  

a)

5.91 x 106

b)

9.6 x 105

c)

9.6 x 1011

d)

4.65 x 105

53.

(5.2×107)+(3.01×104)\left(5.2\times10^7\right)+\left(3.01\times10^4\right)  

a)

5.20301 x 10¹¹

b)

.520301 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

54.

(2.8×108)+(5.4×109)\left(2.8\times10^8\right)+\left(5.4\times10^9\right)  

a)

5.68 x 109

b)

5.69 x 109

c)

5.67 x 109

d)

5.70 x 109

55.

(9.8×103)+(1.07××105)\left(9.8\times10^3\right)+\left(1.07\times\times10^5\right)  

a)

10.87 × 10810.87\ \times\ 10^8  

b)

1.087×1091.087\times10^9  

c)

2.15×1052.15\times10^5  

d)

1.168×1051.168\times10^5  

56.
Write the answer in scientific notation.
7.3 x 105  +   3.7 x 105  =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
57.
Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
58.
Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
59.
Add within scientific notation 
(6.2 x 10²) + (9.7 x 10⁰)
a)
.6297 x 10²
b)
6.297 x 10⁰
c)
6.297 x 10³
d)
6.297 x 10²
60.
Write the answer in scientific notation.
7.3 x 105  +   3.7 x 105  =
a)
11.0 x 105
b)
1.1 x 1010
c)
1.10 x 1011
d)
1.1 x 10 6
61.

(2×103)−(1.9×102)\left(2\times10^3\right)-\left(1.9\times10^2\right)  

a)

1.8×101.8\times10  

b)

1.81×1031.81\times10^3  

c)

1.81×1051.81\times10^5  

d)

0.1×100.1\times10  

e)

0.1×1030.1\times10^3  

62.

(8.0×1013)−(7.5×1012)\left(8.0\times10^{13}\right)-\left(7.5\times10^{12}\right)  

a)

7.25 x 1013

b)

7.25 x 1012

c)

5.0 x 1012

d)

5.0 x 1013

63.

(7×108)−(4×106)\left(7\times10^8\right)-\left(4\times10^6\right)  

a)

6.96×1086.96\times10^8  

b)

3×1023\times10^2  

c)

6.996×1086.996\times10^8  

d)

6.96×10146.96\times10^{14}  

64.

(8×1013)−(4.5×1011)\left(8\times10^{13}\right)-\left(4.5\times10^{11}\right)  

a)

7.55×10117.55\times10^{11}  

b)

7.55×10137.55\times10^{13}  

c)

7.955×10137.955\times10^{13}  

d)

3.5××1023.5\times\times10^2  

e)

7.955×10117.955\times10^{11}  

65.
Subtract using scientific notation. 
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
66.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
67.
(2.9 x 10-9) - (1.7 x 10-9)
a)
1.2 x 10-18
b)
1.2 x 10-9
c)
4.6 x 10-9
d)
1.335 x 10-4
68.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
69.
Subtract the within the scientific notation. 
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
70.
Subtract using scientific notation.
(8.0 x 1013) - (7.5 x 1012)
a)
7.25 x 1013
b)
7.25 x 1012
c)
5.0 x 1012
d)
5.0 x 1013