3.2 x 10^4 + 32.8
step by step
To add two numbers in scientific notation, the first step is to make sure the exponents are the same. In this case, the exponent of 3.2 x 10^4 is 4, and the exponent of 32.8 is 0.
To align the exponents, we can write 32.8 as 3.28 x 10^1.
Now that the exponents are the same, we can add the numbers:
3.2 x 10^4 + 3.28 x 10^1
= (3.2 + 3.28) x 10^4
= 6.48 x 10^4
So, 3.2 x 10^4 + 32.8 = 6.48 x 10^4.
To solve the problem 3.2 x 10^4 + 32.8 step by step, you can follow these steps:
Step 1: Convert the number in scientific notation to standard form.
In scientific notation, 10^4 means moving the decimal point four places to the right. Therefore, 3.2 x 10^4 becomes 32,000.
Step 2: Add the two numbers.
32,000 + 32.8 = 32,032.8
Step 3: Write the final answer in the correct format.
Since the original number was given in scientific notation, we should express the final answer in scientific notation as well. Therefore, the final result is 3.20328 x 10^4.
So, the step-by-step solution to 3.2 x 10^4 + 32.8 is 3.20328 x 10^4.
Sure! Here's the step-by-step breakdown of the calculation:
1. Start with the given numbers: 3.2 x 10^4 and 32.8.
2. To add these numbers, first make sure they have the same exponent. Since 32.8 does not have an exponent explicitly mentioned, we can assume its exponent is 10^0. Therefore, we need to convert 32.8 to scientific notation.
32.8 can be written as 3.28 x 10^1 (moving the decimal one place to the left).
3. Now, we have both numbers in scientific notation with the same exponent, 10^4 and 10^1.
3.2 x 10^4 + 3.28 x 10^1
4. To add the numbers, we only operate on the coefficients (the numbers before "x 10^").
3.2 + 3.28 = 6.48
5. After adding the coefficients, keep the original exponent:
6.48 x 10^4
6. The final result, after adding the numbers, is 6.48 x 10^4.
Therefore, 3.2 x 10^4 + 32.8 = 6.48 x 10^4.