## calculusxy one year ago MEDAL for checking an answer with Scientific Notations operation! Question posted below...

1. calculusxy

$\huge 5.3 \times 10^{-5} \times 8.8 \times 10^{-3}$

2. calculusxy

$\huge Answer$ $\large 4.664 \times 10^{-7}$

3. Hero

Result can only be accurate to two decimal places

4. Hero

5. calculusxy

I don't understand ...

6. Hero

When you multiply using decimals you have to count the total number of digits that occur after the decimal point. In this case there are two . One for each number . So your answer can only be accurate to two decimal places.

7. calculusxy

Can you explain this to me more with the question? I can't grasp what you're trying to say

8. Hero

One moment

9. calculusxy

@Hero

10. Hero

11. calculusxy

so where was my mistake?

12. Hero

13. Hero

µo you have to use rules of exponents When multiplying powers.

14. calculusxy

but the answer after i multiplied was 46.64.. so i moved it one space to the left to make it between 1 and 10 and so i got 4.664.

15. Hero

The exponent part is definitely incorrect though

16. calculusxy

can you explain to me how?

17. Hero

Because you add exponents when multiplying powers

18. calculusxy

i did .

19. calculusxy

didn't i?

20. Hero

You know, I realise now that your result IS correct

21. calculusxy

okay thank you. can you make sure another answer of mine? $\large 6.4 \times 10^{-1} \times 6.6 \times 10^{-9}$

22. calculusxy

would the answer be $\large 4.224 \times 10^{-9}$

23. calculusxy

@Hero

24. Hero

If you followed the same format as you did with your previous problem, it should be correct. You can check with wolfram

25. calculusxy

Okay thank you so much!!!!!!