Whats 3.2x10^4 + 1.95x10^6? write it in scientific notation, show your work.
To add the given numbers in scientific notation, we need to make sure both numbers have the same power of 10.
3.2x10^4 can be written as 0.32x10^5 since we multiplied the coefficient by 10, and divided the power of 10 by 10.
Now, we can add these numbers:
0.32x10^5 + 1.95x10^6
To add numbers with the same power of 10, we sum their coefficients:
0.32 + 1.95 = 2.27
Since both numbers had the same power of 10, we can keep it unchanged:
2.27x10^6
Therefore, the sum of 3.2x10^4 and 1.95x10^6 in scientific notation is 2.27x10^6.
To add the numbers 3.2x10^4 and 1.95x10^6, we need to first make sure both numbers have the same exponent.
Step 1: Rewrite 3.2 as 3.20 and 1.95 as 195.0. This ensures that both numbers have two decimal places.
Step 2: Express both numbers in scientific notation with the same exponent.
3.20x10^4 can be written as 3.20x10^4;
195.0x10^4 can be written as 1.95x10^6.
Step 3: Add the two numbers together.
3.20x10^4 + 1.95x10^6 = 3.20x10^4 + 1.95x10^6
Step 4: Since the exponents are the same, we can add the coefficients.
3.20 + 1.95 = 5.15
Step 5: Keep the original exponent.
Therefore, 3.2x10^4 + 1.95x10^6 = 5.15x10^6.
To add these numbers in scientific notation, we need to make sure the exponents are the same. Let's break down the calculation step by step:
1. Start with the first number: 3.2x10^4.
2. Next, convert the second number, 1.95x10^6, to match the exponent of the first number. We can do this by moving the decimal point one position to the left, resulting in 19.5x10^5.
3. Now that the exponents are the same, we can add the two numbers: 3.2x10^4 + 19.5x10^5.
4. Adding the coefficients, we get 3.2 + 19.5 = 22.7.
5. Finally, keep the exponent the same as it was before the addition, which is 10^4.
6. The answer in scientific notation is 22.7x10^4.