Question

Approximately how many orders of magnitude longer is one year than one second?

Answer 1

1sec is 1sec
1min=60seconds
60mins=1hour
24hours=1day
365 days=1 year
so 60 x 60x24 x365=?
1 order of magnitude is about 10 times larger or longer according to your problem
2 order of magnitude is about 100 times larger
3 order of magnitude is about 1000 times larger
and so on

Example 45672 is 4 magnitude of order higher than 3
but is 3 magnitude higher than 13 or 78

Answer 2

hint:
seconds contained in one year are:
\[\Large 365 \times 24 \times 60 \times 60 = {\text{31}}{\text{,536}}{\text{,000}} \cong {\text{3}} \cdot {\text{1}}{{\text{0}}^{\text{7}}}\]