## anonymous one year ago i have a question

1. anonymous

Question 2 Which number is the largest? 1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103 1.2 × 104 4.5 × 10−3 3.8 × 103 7.5 × 103

2. anonymous

which has the highest power?

3. anonymous

|dw:1436059390912:dw|

4. anonymous

Please don't give out direct answers :) @DecentNabeel Instead, try engaging the asker so they can learn better and understand where your answer is coming from. As the saying goes… $$\\\color{darkblue}{Give~a~man~a~fish,~he~eats~for~a~day.}$$ $$\\\color{pink}{Teach~a~man~to~fish,~he~eats~for~a~lifetime.}$$

5. anonymous

its ok

6. anonymous

You sure, @DecentNabeel ?

7. anonymous

@DecentNabeel Could be incorrect. You never know.

8. anonymous

the highest power is the the largest number @keshaun455

9. anonymous

so its d

10. triciaal

and it is NOT D

11. anonymous

If you want, multiply them all to make sure. :)

12. anonymous

sorry i cant type fast i have to refresh my page to type

13. anonymous

remember the the number with the highest power is the the largest number

14. triciaal

15. anonymous

so its a idk im dumd a rock is smarter than me

16. triciaal

don't put yourself down! at least you are trying to get help.

17. anonymous

see what I drew to know where the power is. :)

18. triciaal

|dw:1436063373007:dw|

19. triciaal

when the value is expressed in scientific notation then look for the highest power, the n, as shown by @mathway above also.

20. triciaal

@DecentNabeel your error was to use the greatest "a"

21. anonymous

so im looking for the largest number

22. triciaal

need to compare the standard

23. triciaal

|dw:1436063707926:dw|

24. anonymous

im not sure how to do any of this i never done this

25. triciaal

26. anonymous

When comparing scientific notation, first make sure that there is only one non-zero digit before the decimal point. For example: $42.34\times 10^3 = 4.234\times 10^4\\ 0.035 \times 10^{-3} = 3.5\times 10^{-5}$Once in this form, you only need to compare the exponents. For example $$-5<4$$, so clearly the first number is greater than the second one. If the exponents are equal, then you just need to compare the numbers in front. For example: $4.35\times 10^5\\ 4.36\times 10^5$The exponents are the same, but the second number is greater.

27. triciaal

@keshaun455 is it clear now?

28. anonymous

Moving the decimal point to the right decreases the exponent by one. Moving it to the left increases the exponent by one. For example: $30.2\times 10^2 = (30.2 \div 10) \times(10^3\times 10) = 3.02\times 10^4$Dividing and multiplying by ten is the same as multiplying by $$1$$.

29. anonymous

yes thx for help

30. triciaal

@keshaun455 you are welcome @DecentNabeel is it clear to you too?