What is the sum of 6.3x10^3 and 2.41x10^4? Use scientific notation to express your answer.
To add numbers expressed in scientific notation, we first need to align the exponents.
6.3 x 10^3 and 2.41 x 10^4 can be shifted to have the same exponent:
6.3 x 10^3 = 0.63 x 10^4 (move the decimal point in 6.3 one place to the left)
2.41 x 10^4 (no change)
Now we can add:
0.63 x 10^4 + 2.41 x 10^4 = (0.63 + 2.41) x 10^4 = 3.04 x 10^4
The sum of 6.3 x 10^3 and 2.41 x 10^4 is 3.04 x 10^4.
To find the sum of numbers in scientific notation, you need to align the powers of 10 and then add the coefficients.
Given:
6.3x10^3
2.41x10^4
First, let's align the powers of 10:
6.3x10^3 = 0.0063x10^6 (moved the decimal point 3 places to the right and changed the power of 10 accordingly)
2.41x10^4 = 0.0241x10^6 (moved the decimal point 4 places to the right and changed the power of 10 accordingly)
Now, we can add the coefficients:
0.0063x10^6 + 0.0241x10^6 = 0.0304x10^6
Finally, we can express this in scientific notation:
0.0304x10^6 = 3.04x10^4
Therefore, the sum of 6.3x10^3 and 2.41x10^4 is 3.04x10^4.
To find the sum of numbers in scientific notation, you need to ensure that the exponents are the same.
Step 1: Rewrite the numbers in standard form.
6.3x10^3 becomes 6300 (6.3 multiplied by 10 raised to the power of 3).
2.41x10^4 becomes 24100 (2.41 multiplied by 10 raised to the power of 4).
Step 2: Adjust the numbers so that they have the same exponent. Here, we need to adjust 6300 to have the same exponent as 24100.
6300 can be rewritten as 6.3x10^3.
Step 3: Now, we can add the numbers.
6.3x10^3 + 6.3x10^3 = (6.3 + 2.41) x 10^4 = 8.71x10^4.
Therefore, the sum of 6.3x10^3 and 2.41x10^4 is 8.71x10^4.