earth's speed

It all depends on your frame of reference.

And "rotating on its axis" should be done in RPM or somesuch. I think you mean that a point on the equator is moving at that speed.

We are travelling between 300km - 900km a second towards the great attractor from memory.

Your structure goes

1. Earth's rotational speed
2. Earths orbital speed
3. Solar Systems rotational speed (in and out of the main arm of our galaxy)
4. Solar Systems orbital speed (around the galaxy every 240,000 years)

e.g. up to galaxy, local group (of galaxies) cluster, super cluster etc.

In a framework of spacetime itself which is still expanding faster and faster between any two distant points.

Quoting The Changing Universe, Big Bang and After, New Horizons Pg 57

"Nested in a Solar System 10.4 light-years in diameter, the Earth whisks us through space at a speed of about 30 km/second on its annual journey around the Sun. The solar system itself orbits the galactic centre at 230 km/second. Our galaxy is edging closer to Andromeda, at 90 km/second; they are members of the Local Group, which is about 10 million light-years across. The Local Group, in turn, is streaking at 600km/sec towards the Virgo cluster of galaxies in the Local Supercluster and the Hydra Centaurus supercluster, which are spread some 60 million light-years across space. The ballet does not end there. The Virgo cluster and the Hydra-Centraus supercluster are themselves being drawn towards another another giant aggregration of galaxies astronomers refer to as the Great Attractor. These clusters and superclusters form unbelievably huge walls and filaments streching hundreds of millions of light-years across space."

Hi, steveb.
They are not very far.

1,037.6 mph
6,6627.7 mph

What's the speed if your running backwards at 8 mph or driving at 75mph or flying at 400 mph?

The Earth makes one complete rotation every 24 hours. The circumference of the Earth at the equator is about 24900 miles. Thus, any point on the equator moves at the following speed:

24,900 mi/(24 hrs) = 1037.5 mi/hr.

The same type of reasoning works, of course, for the speed of the Earth around the Sun.

The real key is you have to remember to keep moving at the same speed as the earth. Because if you don't it will catch up to your behind pretty dang quick.