## anonymous one year ago What is the standard form of the number shown in the calculator display? 3.82e+7

1. thomas5267

$3.82e{+7}=3.82\times10^7\\ \text{Another example:}\\ 5.34e{-3}=5.34\times10^{-3}$

2. anonymous

i still dont get is

3. anonymous

this

4. anonymous

ok so i put it in my calculator and it says the answer is 38,200,000

5. thomas5267

$\color{green}{3.82}\color{cyan}{e}\color{red}{{+7}}=\color{green}{3.82}\times\color{cyan}{10}^\color{red}{7}\\ \text{Another example:}\\ \color{green}{5.34}\color{cyan}{e}\color{red}{{-3}}=\color{green}{5.34}\times\color{cyan}{10}^\color{red}{-3}\\ 3.82e{+7}=3.82\times10^7=3.82\times\underbrace{10,000,000}_{\text{7 zeros}}$

6. thomas5267

=38,200,000

7. anonymous

so my calculator is right then ?

8. anonymous

and thx

9. thomas5267

Yes. A different expression of the same number.

10. anonymous

ok thx

11. anonymous

and here is ur medal

12. thomas5267

Thank you!

13. anonymous

welcome thx again

14. thomas5267

Unless your teacher specified to write it in this form, don't write numbers like this $$5.34e{-3}$$. Write this: $$5.34\times 10^{-3}$$. Teachers don't like students to be lazy although they probably are!