SCIENTIFIC NOTATION grade seven Math7.pptx

scientific notation

1. Good Morning 

2. IRTWE WRITE

3. MBSENRU NUMBERS

4. NI IN

5. CIFITNEICS SCIENTIFIC

6. NOITATON NOTATION

7. Write numbers in Scientific Notation

8. Scientific Notation - simplifies the way we write very large and very small numbers in a compact form.

9. any number from 1 to 10 but not including 10 c x   This is always a base of 10 integer

10. Scientific notation is composed of: -a number part called coefficient or “c” ( a number greater than or equal to 1 but less than 10). -a number with base 10 raised to an integer power (n).

11. Example: One million = 1 x   One hundred = 1 x   One thousand = 1 x  

12. Example: One million = 1 x   One hundredth = 1 x   One thousandth = 1 x  

13. A. How to Write Numbers in Scientific Notation STEP 1: Identify the initial location of the original decimal point STEP 2: Identify the final location or “destination” of the original decimal point. The final location of the original decimal point must be directly to the right of the first nonzero number.

14. STEP 3: Move the original decimal point to its final location. You will get a number here called “c” . Its value must be greater than or equal to 1, but less than 10. When the decimal is moved towards the left , the count for the exponent of base 10 should be positive . When the decimal is moved towards the right , the count for the exponent of base 10 should be negative .

15. STEP 4: Write “c” multiplied by some power of base 10. c x  

16. Example 1: Rewrite the given decimal number 3800 in scientific notation.

17. 3800 STEP 1: Identify the initial location of the original decimal point . . Original decimal point New location of decimal point

18. 3800 . . STEP 2: Identify the final location or “destination” of the original decimal point. The final location of the original decimal point must be directly to the right of the first nonzero number. C = 3.8 Power of 10 is 3 STEP 3:

19. STEP 4: Write “c” multiplied by some power of base 10. 3.8 x  

20. Example 2: Rewrite the given decimal number 43,335,000,000,000 in scientific notation.

21. Example 3: Rewrite the given decimal number 234550 in scientific notation.

22. 43,335,000,000,000 STEP 1: Identify the initial location of the original decimal point . Original decimal point New location of decimal point .

23. 43335000000000 . STEP 2: Identify the final location or “destination” of the original decimal point. The final location of the original decimal point must be directly to the right of the first nonzero number. C = 4.3335 Power of 10 is 13 STEP 3: .

24. STEP 4: Write “c” multiplied by some power of base 10. 4.3335 x  

25. B. Examples of How to Write Decimal Numbers into Scientific Notation (Negative Power) Example 1. Rewrite the given decimal 0.0005 in scientific notation

26. 0.0005 STEP 1: Identify the initial location of the original decimal point . Original decimal point New location of decimal point

27. 0.0005 . STEP 2: Identify the final location or “destination” of the original decimal point. The final location of the original decimal point must be directly to the right of the first nonzero number. C = 5 Power of 10 is -4 STEP 3:

28. STEP 4: Write “c” multiplied by some power of base 10. 5 x  

29. Example 2. Rewrite the given decimal 0.000000000001134 in scientific notation

30. ACTIVITY

31. Write each number in scientific notation: 1.) 0.00066079 2.) 0.000034270 3.) 0.006 4.) 0.0012 5.) 0.000001438