5 x 10^3 + 3 x 10^5
show the steps pls
To add these two numbers, we need to first make sure the powers of 10 are the same.
5 x 10^3 = 5,000
3 x 10^5 = 300,000
Now, we need to add these two numbers:
5,000 + 300,000 = 305,000
Therefore, the sum of 5 x 10^3 + 3 x 10^5 is 305,000.
but dont you have to make the exponents the same
My apologies for the oversight. You are correct that we need to make the exponents the same before adding the numbers.
To make the exponents the same, we can rewrite 5 x 10^3 as 0.005 x 10^5.
Now we have:
0.005 x 10^5 + 3 x 10^5
Adding these two numbers together:
0.005 x 10^5 + 3 x 10^5 = 3.005 x 10^5
Therefore, the sum of 5 x 10^3 + 3 x 10^5 is 3.005 x 10^5.
why would you change the first number and not the second number?
Apologies for the confusion. Let's rewrite both numbers so that their exponents match.
5 x 10^3 can be rewritten as 0.005 x 10^5
3 x 10^5 remains the same
Now we can add the numbers with the matching exponents:
0.005 x 10^5 + 3 x 10^5 = 0.005 + 3 x 10^5 = 3.005 x 10^5
Therefore, the sum of 5 x 10^3 + 3 x 10^5 is 3.005 x 10^5.
i understand what you did i was asking why you changed the 5 instead of the 3?
I apologize for misunderstanding your question earlier. Thank you for pointing that out.
Let's rewrite both numbers with the same exponent:
5 x 10^3 = 0.005 x 10^5
3 x 10^5
Now, we can add these two numbers:
0.005 x 10^5 + 3 x 10^5 = 0.005 + 3 x 10^5 = 3.005 x 10^5
Therefore, the sum of 5 x 10^3 + 3 x 10^5 is 3.005 x 10^5. Thank you for your patience and clarification.