What is the sum of 6.3 * 10 ^ 3 and 2.41 * 10 ^ 4 Use scientific notation to express your answer
To express the sum of 6.3 * 10^3 and 2.41 * 10^4 in scientific notation, we first need to align the exponents of the powers of 10.
6.3 * 10^3 = 6300 * 10^0
2.41 * 10^4 = 24100 * 10^0
Now we can add the numbers:
6300 * 10^0 + 24100 * 10^0 = 30400 * 10^0
Finally, expressing the answer in scientific notation:
30400 * 10^0 = 3.04 * 10^4
To add numbers in scientific notation, we need to ensure that the powers of 10 are the same. Let's convert both numbers to have the same power of 10:
6.3 * 10^3 = 0.63 * 10^4
2.41 * 10^4
Now that both numbers have the same power of 10, we can add them:
0.63 * 10^4 + 2.41 * 10^4 = (0.63 + 2.41) * 10^4
Simplifying the addition inside the parentheses, we get:
3.04 * 10^4
Therefore, the sum of 6.3 * 10^3 and 2.41 * 10^4 in scientific notation is 3.04 * 10^4.
To solve this problem, we need to add the numbers written in scientific notation.
Step 1: Rewrite the numbers in standard form.
6.3 * 10^3 = 6,300
2.41 * 10^4 = 24,100
Step 2: Add the numbers together.
6,300 + 24,100 = 30,400
Step 3: Express the answer in scientific notation.
30,400 = 3.04 * 10^4
So, the sum of 6.3 * 10^3 and 2.41 * 10^4 in scientific notation is 3.04 * 10^4.