what is the sum of 6.3 x 10^3 and 2.41 x 10^4. use scientific notation to explain your answer
To find the sum of numbers in scientific notation, we first need to compare the exponents.
6.3 x 10^3 can be written as 6300 x 10^0 (since 10^0 equals 1).
Now, we can add the two numbers:
6300 x 10^0 + 24100 x 10^0 = 30400 x 10^0.
However, since 10^0 is equal to 1, we can rewrite the answer as:
30400 x 1 = 30400.
Therefore, the sum is 30400, represented in scientific notation as 3.04 x 10^4.
To add numbers in scientific notation, we first need to make sure both numbers have the same exponent.
In this case, we have 6.3 x 10^3 and 2.41 x 10^4. We can rewrite them with the same exponent:
6.3 x 10^3 = 0.063 x 10^4
2.41 x 10^4 = 2.41 x 10^4
Now that both numbers have the same exponent, we can add them:
0.063 x 10^4 + 2.41 x 10^4 = (0.063 + 2.41) x 10^4
= 2.473 x 10^4
Therefore, the sum of 6.3 x 10^3 and 2.41 x 10^4 is 2.473 x 10^4.
To find the sum of 6.3 x 10^3 and 2.41 x 10^4 using scientific notation, you need to first ensure that the exponents are the same. In this case, we have 10^3 and 10^4. To make the exponents the same, we can convert 6.3 x 10^3 to scientific notation with an exponent of 10^4.
To do this, we move the decimal point one place to the right in 6.3, giving us 63. Now we have 6.3 x 10^3 as 6.3 x 10^4.
Now that the exponents match, we can add the numbers together.
6.3 x 10^4 + 2.41 x 10^4 = (6.3 + 2.41) x 10^4
Adding 6.3 and 2.41 gives us 8.71. Therefore, the sum is 8.71 x 10^4.
So, in scientific notation, the sum of 6.3 x 10^3 and 2.41 x 10^4 is 8.71 x 10^4.