What is (6 x 10^6)-(3 x 10^4) in scientific notation? Thank you for your help :D

Question

I need to know the scientific notation of this problem

Answer 1

Annette, treat the 10 raised to the power as a variable and the number multiplied by it by its coefficient. 

 

Let x=10

 

This would make (6*10^6)-(3*10^4)=6x^6-3x^4=3x^4(2x^2-1). Substitute x=10 back into the equation.

 

(3*10^4)(2*10^2-1)=3*10^4(200-1)=3*10^4*(199)=3*10^4*(1.99*10^2)=3*1.99*10^4*10^2=5.97*10^6.

 

Hope this helps.

Answer 2

Rearrange the problem:

 

3 * 6 * 10⁶ * 10⁴ = 18 * 10¹⁰ = 1.8 * 10¹¹

 

Hope it helped, Anette.

 

Mary Ann