1. The table shows relationships between several powers of 10.
Each time you divide by 10, the exponent decreases by 1 and the decimal point moves one place to the left.

2. The table shows relationships between several powers of 10.
Each time you multiply by 10, the exponent increases by 1 and the decimal point moves one place to the right.

4. Find the value of each power of 10.
B. 104
C. 109
Start with 1 and move the decimal point six places to the left.
Start with 1 and move the decimal point four places to the right.
Start with 1 and move the decimal point nine places to the right.
10,000
1,000,000,000

5. You may need to add zeros to the right or left of a number in order to move the decimal point in that direction.
Writing Math

6. You can also move the decimal point to find the value of any number multiplied by a power of 10. You start with the number rather than starting with 1.
Multiplying by Powers of 10

7. Find the value of each expression.
Move the decimal point 8 places to the right.
2,389,000,000
B. 467  10–3
4 6 7
Move the decimal point 3 places to the left.
0.467

8. Find the value of each expression.
b  10–2

9. Scientific notation is a method of writing numbers that are very large or very small. A number written in scientific notation has two parts that are multiplied.
The first part is a number that is greater than or equal to 1 and less than 10.
The second part is a power of 10.

10. Saturn has a diameter of about km
Saturn has a diameter of about km. Its distance from the Sun is about 1,427,000,000 km.
Write Saturn’s diameter in standard form.
Move the decimal point 5 places to the right.
120,000 km

11. Standard form refers to the usual way that numbers are written—not in scientific notation.
Reading Math

12. Use the information above to write Jupiter’s diameter in scientific notation.
143,000 km
Count the number of places you need to move the decimal point to get a number between 1 and 10.
5 places
Use that number as the exponent of 10.
1.43  105 km

13. Use the information above to write Jupiter’s orbital speed in standard form.

14. Write each number in standard form.
3.253 x 106
x 10-5
4.395 x 104
6.79 x 10-6

15. Express each number in scientific notation.
800,000
1,320,000
0.0119

16. Order the list of numbers from least to greatest.
Step 1 List the numbers in order by powers of 10.
Step 2 Order the numbers that have the same power of 10.

17. Order the list of numbers from least to greatest.