The moon is approximately 221,000 miles from the Earth. Drag the tiles to represent 221,000 in scientific notation.

The scientific notation is .

Solution:

Let us first define the scientific notation.

Scientific notation is used to write large numbers in a small manner.

Rule to write the Scientific notation:

For example:

500 can be written as 5 × 10².

6500 can be written as 6.5 × 10³.

Given data:

Distance from Earth to Moon = 221,000 miles

To write this in a scientific notation.

221,000 =

Hence the scientific notation is .

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584