Question

could you please explain operations with scientific notation using this example. 5 × 10³ + 4.3 × 10⁴ i dont understand how to solve it all . if you explain each step that would be great.

Answer 1

Step-by-step explanation:

The scientific notation:

`a*10^k`

where

`1\leq a<10` and k is integer.

We have the example:

`(5*10^3)+(4.3*10^4)`

You can write the numbers in a "normal" form:

`5*10^3=5*1000=5000\\\\4.3*10^4=4.3*10000=43000`

Make the sum:

`5000+43000=48000`

And next write it in the scientific notation:

`48000=4\underbrace{8000}_(\leftarrow4)=4.8000*10000=4.8*10^4`

Other method:

You can add numbers in scientific notation if the power of tens in both number is the same.

Therefore you must convert the first number:

`5*10^3=0.5*10*10^3=0.5*10^4`

Now, you can make the sum:

`(5*10^3)+(4.3*10^4)=0.5*10^4+4.3*10^4=(0.5+4.3)*10^4=4.8*10^4`