Download Massaging Scientific Notation ANSWERS

Massaging Scientific Notation
Name_____ANSWERS_________________
Directions: Perform the following operations and cross out your answers in
the table at the end. Be sure to finish the last question at the end.
1. Which is the larger value: 3  10 or 9  10 ?
8
7
2. How much times larger is 8  10 compared to 4  10 ?
200 times (8 is two times larger than 4 and 106 is 100 times larger than 104)
6
4
3. The planet Venus is 26 million miles away from Earth at its closest point and 160 million miles
away at this most distant point. What is the difference between these distances, expressed in
8
scientific notation? 160,000,000 – 26,000,000 = 134,000,000 miles = 1.34  10 4. Multiply:
 7.25  10  4.12  10   29.87  10
9
14
5
 2.987  1015 4.5  109
5. Divide:  3  104 5
1.5  10

6. Multiply:  0.0035  4.2  10
   3.5  10  4.2  10   14.7  10
3
2
8.2  10  5.0  10   20.5  10
Simplify:  2.0  10 
5
 1.47  10 6 2
6
7.
2
 2.05  103 2
2
8. The Earth is 93 million miles from the sun. How long, in seconds, does it take light from the sun to
5
reach Earth? Use the speed of light to be 1.86  10 miles per second. 9.3  107
 5.0  102  500 seconds 5
1.86  10
9. Which of the following expressions is equivalent to:
1)
14.2  100
2) 14.2
3) 1.42  10
1
 0.5  10  28.4  10  45
45
4) All of these are equivalent.
5
10. Which of the following expression is 145.87  10 in scientific notation?
3
4
6
7
1) 1.4587  10
2) 1.4587  10
3) 1.4587  10
4) 1.4587  10
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11. The expression 0.00222  10 is greater than 2 (and n is an integer). What is the smallest
possible value for n? 3
n
12. A rectangle has a length of 12.2  10 mm and a width of 6.5  10 mm. Expressed in scientific
notation, how many square mm are in the area of the rectangle?
3
12.2  10  6.5  10   79.3  10
3
2
2
 7.93  106
5
13. If a CD can store 700,000,000 bytes of data, express, in scientific notation, the number of bytes of
9
data which can be stored on 2 such CDs. 1.4  10
6.8  105
8
14. Divide:
2.0  10
3
3.4  10
15. Multiply:
 4.3  10  3.1 10  13.33  10
4
7
11
 1.333  1010
Numbers in scientific notation can be added if the ten’s exponents are the same in each number.
Simply add the decimal numbers and keep the power of 10. If necessary, adjust the numbers such that
4
4
4
these exponents are the same. Example: 3.1  10  6.5  10  9.6  10
16. Add: 8.2  10  4.7  10  12.9  10 6
6
6
17. Add: 9.1  10  1.8  10  91.0  10  1.8  10  92.8  10  9.28  10 8
7
7
7
7
8
Cross OUT your answers.
200
400
500
2.0  102
2.0  108
3  104
3  108
1.34  108
1.333  1010
12.9  1012
12.9  106
1
2
3
4
2.987  1015
2.987  1014
10.9  1015
2.05  103
9.28  108
14  108 1.4  109 79.3  105 7.93  106 1.47  106 Multiply the remaining answers. Express the result in scientific notation:
____________ 7.46058077  10 ______________
60
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