Write each number in scientific notation.
1. 4,800
2. 17, 200
3. 180,000
4. 343, 502
12. 0.00581
13. 0.00105
14. 0.0000078
15. 0.000027
16. 0.000000132
17. 0.000000009
I will do two, and be happy to check the others.
3. 1.8E5 where E means 10 to the power of
15. 2.7E-5
Bob Pursley helped you with some of these yesterday.
http://www.jiskha.com/display.cgi?id=1348788270
Now it's your turn.
Study these sites, and then post what YOU think the answers are.
http://www.nyu.edu/pages/mathmol/textbook/scinot.html
http://www.chem.tamu.edu/class/fyp/mathrev/mr-scnot.html
Thanks!!!
So the answers are (i will do 1-4 odd, 12-17 odd)
1. 4.8 x 10^3
3. 1.8 x 10^5
13. 1.05 x 10^-3
15. 2.7 x 10^-5
17. 9 x 10^-8
are these correct?
ITS ALL WRONG
To write a number in scientific notation, follow these steps:
1. Determine the coefficient: The coefficient should be a number greater than or equal to 1 and less than 10. It should be obtained by moving the decimal point in the original number so that only one non-zero digit remains to the left of the decimal point.
2. Determine the exponent: The exponent represents the number of times 10 needs to be multiplied to obtain the original number. It is obtained by counting the number of decimal places moved in step 1. If the decimal point was moved to the left, the exponent is positive, and if it was moved to the right, the exponent is negative.
Now let's apply these steps to the given numbers:
1. 4,800
The decimal point needs to be moved two places to the left to obtain 4.8. The coefficient is 4.8, and the exponent is 10^2 since the decimal point was moved two places to the left. Therefore, 4,800 in scientific notation is 4.8 x 10^2.
2. 17,200
The decimal point needs to be moved four places to the left to obtain 1.72. The coefficient is 1.72, and the exponent is 10^4 since the decimal point was moved four places to the left. Therefore, 17,200 in scientific notation is 1.72 x 10^4.
3. 180,000
The decimal point needs to be moved five places to the left to obtain 1.8. The coefficient is 1.8, and the exponent is 10^5 since the decimal point was moved five places to the left. Therefore, 180,000 in scientific notation is 1.8 x 10^5.
4. 343,502
The decimal point needs to be moved five places to the left to obtain 3.43502. The coefficient is 3.43502, and the exponent is 10^5 since the decimal point was moved five places to the left. Therefore, 343,502 in scientific notation is 3.43502 x 10^5.
5. 0.00581
The decimal point needs to be moved three places to the right to obtain 5.81. The coefficient is 5.81, and the exponent is 10^-3 since the decimal point was moved three places to the right. Therefore, 0.00581 in scientific notation is 5.81 x 10^-3.
6. 0.00105
The decimal point needs to be moved three places to the right to obtain 1.05. The coefficient is 1.05, and the exponent is 10^-3 since the decimal point was moved three places to the right. Therefore, 0.00105 in scientific notation is 1.05 x 10^-3.
7. 0.0000078
The decimal point needs to be moved five places to the right to obtain 7.8. The coefficient is 7.8, and the exponent is 10^-6 since the decimal point was moved five places to the right. Therefore, 0.0000078 in scientific notation is 7.8 x 10^-6.
8. 0.000027
The decimal point needs to be moved six places to the right to obtain 2.7. The coefficient is 2.7, and the exponent is 10^-5 since the decimal point was moved six places to the right. Therefore, 0.000027 in scientific notation is 2.7 x 10^-5.
9. 0.000000132
The decimal point needs to be moved seven places to the right to obtain 1.32. The coefficient is 1.32, and the exponent is 10^-7 since the decimal point was moved seven places to the right. Therefore, 0.000000132 in scientific notation is 1.32 x 10^-7.
10. 0.000000009
The decimal point needs to be moved eight places to the right to obtain 9. The coefficient is 9, and the exponent is 10^-9 since the decimal point was moved eight places to the right. Therefore, 0.000000009 in scientific notation is 9 x 10^-9.