what is the sum of 6.3*10^3 and 2.41*10^4 use scientific notation to express your answer
To add two numbers in scientific notation, you need to adjust the exponents so that they have the same power of 10.
Given:
6.3 * 10^3
2.41 * 10^4
To make the exponents the same, we can rewrite 6.3 * 10^3 as 0.63 * 10^4.
Now we have:
0.63 * 10^4
2.41 * 10^4
To add the numbers, we simply add the coefficients:
0.63 + 2.41 = 3.04
The answer is 3.04 * 10^4 in scientific notation.
To find the sum of these numbers, we need to convert them to the same power of 10:
6.3 * 10^3 = 0.63 * 10^4 (dividing by 10, we increase the exponent by 1)
2.41 * 10^4 (already in the desired format)
Now, we can add the two numbers:
0.63 * 10^4 + 2.41 * 10^4 = (0.63 + 2.41) * 10^4 = 3.04 * 10^4
So, the sum is 3.04 * 10^4.
To find the sum of two numbers in scientific notation, you need to first adjust their exponents so that they are the same. Then, you can add the coefficients and place the sum in scientific notation.
Let's start by adjusting the exponents:
6.3 * 10^3 = 0.0063 * 10^6 (moving the decimal point three places to the right)
2.41 * 10^4 = 0.0241 * 10^6 (moving the decimal point four places to the right)
Now that both numbers have the same exponent, we can add their coefficients:
0.0063 * 10^6 + 0.0241 * 10^6 = 0.0304 * 10^6
Finally, we express the sum in scientific notation:
0.0304 * 10^6 = 3.04 * 10^4
Therefore, the sum of 6.3 * 10^3 and 2.41 * 10^4 is 3.04 * 10^4 in scientific notation.