(3.2 x 10^4)+(1.95 x 10^6) Show you work step by step please.
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
Certainly! To add the numbers (3.2 x 10^4) and (1.95 x 10^6), we need to first align the numbers according to their exponents.
Step 1: Align the numbers
3.2 x 10^4
+ 1.95 x 10^6
Step 2: Adjust the numbers to have the same exponent
Since 10^4 is the same as 10^6 divided by 10^2, we can multiply 3.2 by 10^2 to make the exponents equal.
3.2 x 10^4
+ 195 x 10^4
Step 3: Add the numbers
Now that the exponents are equal, we can simply add the two numbers together.
3.2 + 195 = 198.2 x 10^4
Step 4: Simplify the result
198.2 x 10^4 can be written in scientific notation as 1.982 x 10^5.
So, (3.2 x 10^4) + (1.95 x 10^6) = 1.982 x 10^5.
To add numbers written in scientific notation, follow these steps:
Step 1: Make sure the exponents are the same. In this case, convert either of the numbers so that the exponents match.
Step 2: Add the coefficients (the numbers in front of the power of 10) together.
Step 3: Keep the common exponent from Step 1 and rewrite the sum from Step 2.
Now let's apply these steps to add (3.2 x 10^4) and (1.95 x 10^6):
Step 1: Convert one of the numbers so that the exponents match. We will convert (3.2 x 10^4) to scientific notation with an exponent of 6:
(3.2 x 10^4) = (0.00032 x 10^6)
Step 2: Add the coefficients:
(0.00032 x 10^6) + (1.95 x 10^6) = 0.00032 + 1.95
Step 3: Keep the common exponent (10^6) and rewrite the sum from Step 2:
(0.00032 + 1.95) x 10^6 = 1.95032 x 10^6
Therefore, (3.2 x 10^4) + (1.95 x 10^6) equals 1.95032 x 10^6.