Answer:
The required expression is [tex]5.68\times 10^5[/tex]
Step-by-step explanation:
Given : Expression [tex]5.3\times 10^5[/tex] and [tex]3.8\times 10^4[/tex]
To find : What is the sum of the given expression?
Solution :
Step 1 - Write the expression
[tex]5.3\times 10^5[/tex] and [tex]3.8\times 10^4[/tex]
Step 2 - Add both expression
[tex]=5.3\times 10^5+3.8\times 10^4[/tex]
Step 3 - Taking [tex]10^4[/tex] common
[tex]=10^4(5.3\times 10+3.8)[/tex]
[tex]=10^4(53+3.8)[/tex]
Step 4 - Add the parenthesis terms
[tex]=10^4\times 56.8[/tex]
or In scientific notation [tex]5.68\times 10^5[/tex]
Therefore, The required expression is [tex]5.68\times 10^5[/tex]
The sum of the indices in scientific notation is 56.8 × 10⁴
Scientific notation is a way of expressing large numbers of values into smaller terms, most especially by raising them to the power of 10 to make it easier when solving them.
From the given parameter, we are to add:
= (5.3 x 10^5 + 3.8 x 10^4 )
To do this, we need to :
i.e.
= 10⁴ (5.3 × 10 + 3.8)
= 10⁴ (53 + 3.8)
= 10⁴ (56.8)
= 56.8 × 10⁴
Learn more about Scientific notation here:
https://brainly.com/question/5756316
