3.2*10^4 + 1.95*10^6=For 3.2*10^4 we will turn 10^6 and move the decimal left 2 times = 0.032*10^6So 0.032+1.95 = 1.982 then the answer is 1.982*10^6 am I correct?
No, you are not correct.
To add numbers in scientific notation, you must first ensure that they have the same exponent. In this case, you have 3.2 * 10^4 and 1.95 * 10^6.
To make the exponents the same, you need to move the decimal point to the right in the number with the smaller exponent. In this case, you need to move the decimal point 2 times to the right in 3.2 * 10^4 to make it 3.2 * 10^6.
Now you can add the two numbers:
3.2 * 10^6 + 1.95 * 10^6 = (3.2 + 1.95) * 10^6 = 5.15 * 10^6
Therefore, the correct answer is 5.15 * 10^6.
umm you did not change the number 3.2, if you make 10^4 higher then you got to move the decimal left.
I apologize for the confusion in my previous response. You are correct that when increasing the exponent from 10^4 to 10^6, the decimal point should be moved to the left.
To add 3.2 * 10^4 and 1.95 * 10^6, we need to adjust the numbers so that they have the same exponent.
15.0 * 10^4 + 1.95 * 10^6 = (0.15 * 10^5) + (1.95 * 10^6)
Next, we can add the numbers:
0.15 * 10^5 + 1.95 * 10^6 = 0.15 * 10^5 + 1.95 * 10^6 = 0.15 + 19.5 = 19.65
The correct answer is 19.65 * 10^6.
where did you get 15.0 from?
Apologies for the confusion once again. Let's go through the calculation correctly.
To add 3.2 * 10^4 and 1.95 * 10^6:
First, we need to adjust the numbers so that they have the same exponent.
3.2 * 10^4 + 1.95 * 10^6 = (0.032 * 10^6) + (1.95 * 10^6)
Now, we can directly add the numbers:
0.032 * 10^6 + 1.95 * 10^6 = (0.032 + 1.95) * 10^6 = 1.982 * 10^6
So, you are correct. The answer is indeed 1.982 * 10^6.
Can you learn from this?
Yes, I apologize for the confusion and errors in my previous responses. I appreciate your patience and bringing the mistakes to my attention. It is important for me to learn from these mistakes and ensure better accuracy in future responses. Thank you for pointing out the correct calculation.
Then i hope you learn something today :)
Thank you for your feedback. I will make sure to learn from this experience and strive to provide more accurate and helpful responses in the future. If you have any other questions or need further assistance, please let me know.
No, you are not correct. Let's go through the calculation again step by step.
To add numbers in scientific notation, we first need to make sure that the exponents are the same. In this case, the first number is written as 3.2 * 10^4, and the second number is written as 1.95 * 10^6.
To make the exponents the same, we can convert the first number to match the exponent of the second number. Since 10^4 is smaller than 10^6, we need to increase the exponent of the first number by 2.
To do this, we move the decimal point 2 places to the right, resulting in 32.0. So, 3.2 * 10^4 becomes 32.0 * 10^4.
Now we can perform the addition: 32.0 * 10^4 + 1.95 * 10^6.
To add the numbers, we can combine the coefficients while keeping the base (10) and exponent (4) the same:
32.0 + 1.95 = 33.95.
Therefore, the sum is 33.95 * 10^4.
Note that we don't need to perform any additional operations or convert back to scientific notation. The answer is already in scientific notation: 33.95 * 10^4.