How do we divide large numbers such as #(4.5xx10^4)# divided by #(3.0xx10^9)#?

Answer 1

#(4.5xx10^4)/(3.0xx10^9)=1.5xx10^(-5)#

#(4.5xx10^4)/(3.0xx10^9)#
= #4.5/3.0xx10^4/10^9#
= #1.5xx10^((4-9))#
= #1.5xx10^(-5)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#1.5 xx 10^-5#

Yes indeed it is possible and in fact preferable to working with extremely large or small numbers.

Consider #(15x^4)/(5x^9)#

Divide the numbers and then subtract the indices of like bases.

#(color(red)(15)color(blue)(x^4))/(color(red)(5)color(blue)(x^9)) = color(red)(3)color(blue)(x^-5)#

In the same way with scientific notation:

#(color(red)(4.5) xx color(blue)(10^4))/(color(red)(3.0) xx color(blue) (10^9)) = color(red)(1.5) xx color(blue)(10^-5)#

In algebra we would not offer an answer with a negative exponent, but as this is scientific notation, it means that the answer is a small decimal.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7