Scientific notation (Daniel Batres)

Page 1

The Scientific Notation

Abbreviation

Short way to write numbers that are really big or really small.

Mainly used in science

Simpler and easier to use

25,300,000,000,000 miles

Figure out where the decimal is

2.53*10^13

Move decimal there's one digit before the decimal point

0.0000000203

2.03*10^-8

"Move left, exponent goes up, Move right, exponent goes down"

Page 2

Activity 1:

3,749,000,000

3.749*10^9

0.00005269

5.269*10^-5

813,000,000,000,000

8.13*10^14

0.000000214

2.14*10^-8

Activity 2:

7.92*10^8

792,000,000

8.2*10^-5

0.000082

4.13*10^3

413

5.2216*10^-9

0.0000000052216

Activity 2:

1. 0.004 = 4*10^-3

2. 0.000 000 000 000 000 123 = 1.23*10^-16

3. 452 000 000 000 000 = 4.52*10^14

4. 698.254 000 000 000 000 00 = 6.98254 * 10^2

5. 3.28*10^8 = 328 000 000

6. -8.45*10^-3 = -0.00845

7. -8.45*10^5 = -845 000

8. -1.2*10^-8 = -0.000 000 012

Activity 3

1. 1.54*10^8 = 154,000,000

2. -5.13*10^6 = -5,130,000

3. -0.00942 = -9.54*10^-3

4. -0.0949 = -9.49*10^-2

5. 698,000 = 6.98*10^5

6. -0.0763 = -7.63*10^-2

7. 9110 = 9.11*10^3

8. -4.66*10^4 = -46,600

9. 9.01*10^3 = 9,010

10. -9.9*10^-3 = -0.0099

11. -0.598 = 5.98*10^-1

12. 3.31*10^-1 = 0.331

13. -8.31 = -8.31*10^0

14. -0.00818 = 8.18*10^-3

15. 1.73*10^3 = 1,730

16. -137,000 = -1.37*10^5