(3.2 x 10^4)+(1.95 x 10^6) Show you work step by step please.

1 answer

To add numbers in scientific notation, we need to make sure that the exponents are in the same form. In this case, the first number is in the form of 10 raised to the power of 4, and the second number is in the form of 10 raised to the power of 6.

Step 1: Convert both numbers to the same exponent form.
3.2 x 10^4 --> This number is already in the desired form.
1.95 x 10^6 --> To convert it to the same form as the first number, we need to move the decimal point to the left by two places. This gives us 0.0195 x 10^8.

Now both numbers are in the form of 10 raised to the power of 4, so we can add them.

Step 2: Add the coefficients.
3.2 + 0.0195 = 3.2195

Step 3: Write the sum in scientific notation.
The sum of the coefficients is 3.2195. Since we are working with 10 raised to the power of 4, we need to adjust the exponent accordingly. Since we added the numbers, the exponent remains the same.

Final Answer:
3.2 x 10^4 + 1.95 x 10^6 = 3.2195 x 10^4