Can someone plz help me?

Question

The moon is approximately 3.63 × 10⁵ kilograms when closest to the earth.

The moon is approximately 4.07 × 10⁵ kilograms when farthest from earth.

What is the approximate difference?

A.) 0.44 kilograms

B.) 4.4 Kilograms

C.) 4.4 × 10⁴ kilograms

D.) 4.4 × 10¹⁰ kilograms

Answer 1

"x 10⁵" means you are going to move the decimal to the right 5 spaces. So you get 363,000 and 407,000. Difference means subtract, so after subtracting the two numbers you get 44,000. Moving the decimal to the left 4 spaces gives you 4.4. You represent moving that decimal over and taking away those zeros by saying 10⁴. So your answer is C, 44 x 10⁴.

Answer 2

Start with the following equation based on your word problem :

(4.07*10^5) - (3.63*10^5) = Answer

Take out the 10^5 to read the problem easier :

(10^5) * (4.07-3.63) = Answer

Now perform the subtraction

(10^5) * (0.44) = Answer

When using scientific notation, you don't want the first digit to be "0", so we can do the following :

(10^4) * (4.4) = Answer

The answer is 'C'

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If you are confused by that last step, we can rewrite it like this :

(10^5) * (0.44) = (10^4) * (10^1) * (0.44) = (10^4) *(0.44 *10) = (10^4) * (4.4)

I hope this helps!

Answer 3

(Not an answer) where did you get this question? The mass of the moon does not change depending on distance from earth, and it is not 10⁵ kilograms, it is more like 10²² kilograms.

maybe they meant kilometers?