Practice With Scientific Notation



Scientific Notation-Lesson 8.4

We use Scientific Notation to write very Large numbers or very Small numbers.

A number is in Scientific Notation when it is written in the form[pic], where c is a number between 1 and 10 and n is an integer. In other words...

Converting Decimal to Scientific Notation: Model: 2,000 = 2 x 103

1) 400 = 2) 0.005 =

3) 60,000 = 4) 0.0034 =

5) 750,000 = 6) 0.06457 =

7) -0.32 = 8) 324.9 =

What if we want to know what a number in Scientific Notation actually is?

Converting from Scientific Notation to Decimal: Model: 2.3 x 102 = 230

9) 3 x 102 = 10) 6 x 10-3 =

11) 7 x 104 = 12) 900 x 10-2 =

13) 2.4 x 103 = 14) 4 x 10-6 =

Think about it…Write in Scientific Notation

15) 25.36 x 103 = 16) 0.0236 x 104 =

Write in Scientific Notation (Use the Laws of Exponents)

1. [pic] 2. [pic]

3. [pic] 4. [pic]

5. [pic] 6. [pic]

7. [pic] 8. [pic]

SOL Type Questions

9. 10. [pic]

8.4 Scientific Notation Homework

Part 1: Write in Scientific Notation

1. 0.72 = 2. 723,000 =

3. 1,060,000,000 = 4. 0.0000256 =

5. 82.5 = 6. -0.0324

Part 2: Write in Standard Form

7. [pic] = 8. [pic] =

9. [pic] = 10. [pic] =

11. [pic] = 12. [pic] =

Part 3: Simplify. Write your answer in Scientific Notation.

13. [pic] 14. [pic]

15. [pic] 16. [pic]

17. [pic] 18. [pic]

19. [pic] 20. [pic]

Part 4: SOL Type Questions

21. 22.

23. 24.

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