Add 3.2 x 10^4 + 1.95 x 10$6
To add these numbers, we need to first make sure that they have the same exponent.
3.2 x 10^4 = 3.2 * 10,000 = 32,000
1.95 x 10^6 = 1.95 * 1,000,000 = 1,950,000
Now that they have the same exponent, we can add them together.
32,000 + 1,950,000 = 1,982,000
To add these two numbers, we need to make sure that the exponents are the same. In this case, we can rewrite the numbers in scientific notation:
3.2 x 10^4 + 1.95 x 10^6
To add these numbers, we need to make sure the exponents are the same. Let's rewrite them so that they have the same exponent of 10^6:
3.2 x 10^4 + 1.95 x 10^4 x 10^2
Now, we can add the two numbers together:
3.2 x 10^4 + 1.95 x 10^4 x 10^2 = (3.2 + 1.95 x 10^2) x 10^4
Performing the addition, we get:
3.2 + 195 = 198.2
So the sum of 3.2 x 10^4 + 1.95 x 10^6 is 198.2 x 10^4.
To write the answer in scientific notation, we can combine the coefficient and the exponent of 10:
198.2 x 10^4 = 1.982 x 10^5
To add these numbers, we must first ensure that they have the same exponent.
Let's rewrite the numbers in scientific notation to compare:
3.2 x 10^4 + 1.95 x 10^6
When adding numbers in scientific notation, we need to align the decimal points. In this case, we need to move the decimal point in the first number 4 places to the right so that it lines up with the decimal point in the second number, which is already in the correct position.
3.2 x 10^4 can be rewritten as 0.00032 x 10^6.
Now we can add the two numbers:
0.00032 x 10^6 + 1.95 x 10^6
Since the bases (10) are the same, we can add the coefficients:
0.00032 + 1.95 = 1.95032
Now, we have the sum in decimal form. To convert it back to scientific notation, we need to determine the exponent. The larger exponent between the two numbers is 10^6, which remains the same.
Therefore, the final answer is:
1.95032 x 10^6