Question

estimate the order of magnitude of the radius of the earth.Take the radius of earth = 6400 km

Answer 1

Answer:

order of magnitude of radius of the earth is 7

Explanation:

order of magnitude is basically a representation of any quantity in scientific notation.

as we know that the radius of earth is 6400 km . 1st we will convert it in meters which is the standard unit .

1 km= 1000 meter

6400km = 6400000

now the scientific notation will be like

value = one complete digit x 10 ^n

so we will convert it like this

6.4x10^6

to calculate the order we will completely define it in 10^n form which will be

0.64x10^7

so the order of magnitude will be the value of n

here the value of n is 7 so does the order is .

Answer 2

Estimate the order of magnitude of the radius of the earth. Take the radius of the earth = 6400 Km...

answer : order of magnitude of the radius of the earth is 10^7.

explanation : order of magnitude : it is used as scientific notation. if any number X in such a way that X = m × 10^n , where m belongs to $\left[\frac{\sqrt{10}}{10},\sqrt{10}\right]$ then, 10ⁿ is known as order of magnitude of that number.

here given, earth's radius 6400 km

it can be written as 6400000m [ as we know, 1 km = 1000m]

so, 6400 km = 6400000 m

now, 6400000m = 0.64 × 10^7 m

here you can see √10/10 ≤ 0.64 < √10

so, 10^7 is the order of magnitude.