Practice with Integer Exponents and Scientific Notation

Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.

1. $280,000$
   
   
2. $1,290,000$
   
   
3. $0.041$
   
   
4. $0.0000103$
   
   
5. The population of the world on July 4, 2010 was more than $6,850,000,000$.
   
   
6. The probability of winning the 2010 Megamillions lottery is about $0.0000000057$.

Convert Scientific Notation to Decimal Form
In the following exercises, convert each number to decimal form.

7. $8.3 \times 10^2$
   
   
8. $1.6 \times 10^{10}$
   
   
9. $2.8 \times 10^{−2}$
   
   
10. $6.15 \times 10^{−8}$
    
    
11. At the start of 2012, the US federal budget had a deficit of more than $$1.5 \times 10^{13}$.
    
    
12. The width of a proton is $1 \times 10^{−5}$ of the width of an atom.

Multiply and Divide Using Scientific Notation
In the following exercises, multiply or divide and write your answer in decimal form.

13. $(3 \times 10^2)(1 \times 10^{−5})$
    
    
14. $(2.1 \times 10^{−4})(3.5 \times 10^{−2})$
    
    
15. $\frac{8 \times10^6}{4 \times 10^{−1}}$
    
    
16. $\frac{5 \times 10^{−3}}{1 \times 10^{−10}}$

Source: Rice University, https://openstax.org/books/prealgebra-2e/pages/10-5-integer-exponents-and-scientific-notation
This work is licensed under a Creative Commons Attribution 4.0 License.

1. $2.8 × 10^5$
   
   
2. $1.29 × 10^6$
   
   
3. $4.1 × 10^{−2}$
   
   
4. $1.03 × 10^{−5}$
   
   
5. $6.85 × 10^9$
   
   
6. $5.7 × 10^{−9}$
   
   
7. $830$
   
   
8. $16,000,000,000$
   
   
9. $0.028$
   
   
10. $0.0000000615$
    
    
11. $$15,000,000,000,000$
    
    
12. $0.00001$
    
    
13. $0.003$
    
    
14. $0.00000735$
    
    
15. $20,000,000$
    
    
16. $50,000,000$