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8th C -Add/subtract/multiply/divide ->scientific Notation 2/27

Total questions: 25

Worksheet time: 39mins

Name
Class
Date
1.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)

4375.6000

2.

Simplify.

8.4×10103×107\frac{8.4\times10^{10}}{3\times10^7}  

a)

2.8×10172.8\times10^{17}  

b)

5.4×1035.4\times10^3  

c)

2.8×10702.8\times10^{70}  

d)

2.8×1032.8\times10^3  

3.

Which is the simplified version of (8.5×103)(2×105)\left(8.5\times10^3\right)\left(2\times10^5\right)  , expressed in scientific notation?

a)

17×10817\times10^8  

b)

1.7×1091.7\times10^9  

c)

1.7×1071.7\times10^7  

d)

1.7×10161.7\times10^{16}  

4.

Mark studied a group of 30 whales. If each whale weighed approximately 3.8×1053.8\times10^5  pounds, find the total weight of all 30 whales. Express your answer in scientific notation.

a)

114×105114\times10^5  lbs

b)

14.4×10614.4\times10^6  lbs

c)

1.14×1071.14\times10^7  lbs

d)

1.14×1051.14\times10^5  lbs

5.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)

0.4078  x  10-2

6.
How do you write
8.317 x 106
in standard form?
a)

8, 371,000,000

b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
7.

Convert this number into scientific notation: 68,000,000

a)

6.8 x 1076.8\ x\ 10^7

b)

6.8 x 1066.8\ x\ 10^6

c)

6.8 x 1076.8\ x\ 10^{-7}

d)

None of the above

8.

Which value is the greatest

a)

4.7×1084.7\times10^8  

b)

7.3 ×10107.3\ \times10^{-10}  

c)

9.8 × 1069.8\ \times\ 10^6  

d)

5.0 ×1085.0\ \times10^8  

9.

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

10.

The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

11.

There are approximately 3.1 x 108 people in the United States. If each person has 4.1 x 101 coins, how many coins did the entire population of US have?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

12.

The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

13.

A factory can make 3 × 104 t-shirts per day, how many t-shirts will it make in 2.5 ×102 days?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

14.

A computer's hard disk drive holds 8 x 107 bytes of information. If Jill buys an extra memory stick that holds 3 x 106 bytes of information, how much memory will the computer hold?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

15.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 106 and LA’s population was about 3.8 × 106. What is the population of these two cities combined?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

16.

The population of Mathville is 5.6 x 103. The population of Algeville is 1.3 x 104. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

17.
The mass of he sun is 1.989 x 1030 kilograms. The mass of the earth is 5.98 x 1024 kilograms. How many times bigger is the sun than the earth?
a)
3.326 x 105
b)
3.326 x 106
c)
1.99 x 1030
d)
1.99 x 106
18.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 10grams? 
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108
19.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
20.

Which is the smallest?

1.3 ×10201.3\ \times10^{20}  

  2.9×10212.9\times10^{21}  

9.5 ×10199.5\ \times10^{19}  

8.4×10198.4\times10^{19}  

a)

1.3×10201.3\times10^{20}  

b)

2.9 ×10212.9\ \times10^{21}  

c)

9.5 ×10199.5\ \times10^{19}  

d)

8.4 ×10198.4\ \times10^{19}  

21.
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
a)
4.09 x 104,   
1.25 x 105,    
5.1 x 104,   
7.8 x 106,
b)
4.09 x 104,    
5.1 x 104,    
1.25 x 105,  
7.8 x 106
c)
1.25 x 105,  
4.09 x 104,    
5.1 x 104,     
7.8 x 106,  
22.
True or False:  The following is written in scientific notation:  13.5 x 108
a)
TRUE 
b)
 FALSE
23.
Which of these numbers are NOT in scientific notation?
a)
1.2 x 103
b)
5.3 x 109
c)
2.0 x 100
d)

17.2 x 102

24.

Select the correct answers. (Choose 3)

a)

Hydrogen has the smallest mass per atom.

b)

The mass per atom of Carbon is smaller than the mass per atom of Oxygen.

c)

Hydrogen had the greatest mass per atom.

d)

Gold and Silver have the same mass per atom.

e)

The mass per atom of Silver is greater than the mass per atom of Hydrogen.

25.

Celebrity A has 460,000 followers and Celebrity B has 4.7 x 1064.7\ x\ 10^6 followers. Who has more followers and by how much (express your answer in scientific notation).

a)

Celebrity A by 4.24 x 1064.24\ x\ 10^6

b)

Celebrity A by 5.16 x 1065.16\ x\ 10^6

c)

Celebrity B by 4.24 x 1064.24\ x\ 10^6

d)

Celebrity B by 5.16 x 1065.16\ x\ 10^6