add 3.2 x 10^4 + 8.03 x 10^-8. Show your work.
To solve this problem, you need to add two numbers that are in scientific notation.
Step 1: Write the numbers in standard form:
3.2 x 10^4 = 32,000
8.03 x 10^-8 = 0.0000000803
Step 2: Add the numbers in standard form:
32,000 + 0.0000000803 = 32,000.0000000803
Step 3: Write the sum in scientific notation:
32,000.0000000803 = 3.20000000803 x 10^4
So, the sum of 3.2 x 10^4 and 8.03 x 10^-8 is 3.20000000803 x 10^4.
Note: The final result may vary slightly depending on how many significant figures are used in the calculation.
To add these two numbers in scientific notation, we need to make sure the exponents are the same.
First, let's convert 3.2 x 10^4 to a number without scientific notation:
3.2 x 10^4 = 3.2 * 10,000 = 32,000
Now, we can add the two numbers:
32,000 + 8.03 x 10^-8
To make the exponents the same, we need to convert 32,000 to scientific notation:
32,000 = 3.2 x 10^4
Now we have:
3.2 x 10^4 + 8.03 x 10^-8
Since the exponents are the same, we can directly add the numbers:
3.2 x 10^4 + 8.03 x 10^-8 = 32,000 + 0.0000000803
Adding the numbers, we get:
32,000.0000000803
Thus, the sum of 3.2 x 10^4 and 8.03 x 10^-8 is approximately 32,000.0000000803.
To add the numbers 3.2 x 10^4 and 8.03 x 10^-8, we can first convert them to the same power of 10.
3.2 x 10^4 can be written as 32 x 10^3 since moving the decimal point one place to the right decreases the exponent by one.
Now we have 32 x 10^3 + 8.03 x 10^-8.
Next, we need to adjust the second number to have the same exponent as the first number, which is 10^3. To do this, we'll move the decimal point to the right four places in 8.03 x 10^-8, resulting in 0.000803 x 10^-4.
Now we can add the two numbers: 32 x 10^3 + 0.000803 x 10^-4.
Since the exponents are the same, we can add the coefficients: 32 + 0.000803 = 32.000803.
Finally, we write the answer in scientific notation by using the exponent 10^3, which is the same as the original exponent: 32.000803 x 10^3.
Therefore, the sum of 3.2 x 10^4 and 8.03 x 10^-8 is 32.000803 x 10^3.