Question

the distances between earth and moon is 384000000 m

Answer 1

Hi, I will answer it:

For scientific notation, N must be greater than or equal to 1, and less than 10. 
Start at the right and move the decimal point to the left until you achieve this. ok
N = the number of places you moved the decimal point. 
=3.84 x 10^8

Hope it helps you!

Answer 2

The distance between earth and moon in scientific notation is 3.84 × 10⁸ m

Given :

The distance between earth and moon in scientific notation is 384000000 m

To find :

To express in scientific notation

Concept :

For any given number Standard form is a way to express the number .

It is generally used to express a large or a small number

The standard form of any given number is

$\sf = m\times {10}^{n}$

Where m is a number such that 1 ≤ m < 10 and n is the exponent of 10

Solution :

Step 1 of 2 :

Write down the given distance

Here it is given that the distance between earth and moon in scientific notation is 384000000 m

Step 2 of 2 :

Express in scientific notation

The distance between earth and moon

$\sf = 384000000 \: \: m$

$\sf = 384 \times 1000000 \: \: m$

$\sf = 384 \times {10}^{6} \: \: m$

$\sf = 3.84 \times 100 \times {10}^{6} \: \: m$

$\sf = 3.84 \times {10}^{2} \times {10}^{6} \: \: m$

$\sf = 3.84 \times {10}^{2 + 6} \: \: m$

$\sf = 3.84 \times {10}^{8} \: \: m$

Hence distance between earth and moon in scientific notation is 3.84 × 10⁸ m

Correct question : Express the number appearing in the following statement in standard form : The distance between Earth and Moon is 384000000 m