To add two numbers in scientific notation, we need to first make sure both numbers have the same exponent.
Given:
2.56 x 10^-2
4.82 x 10^12
Let's convert the first number (2.56 x 10^-2) to match the exponent of the second number (10^12).
To do this, we can move the decimal point two places to the right and increase the exponent by 2:
2.56 x 10^-2 = 0.0256 x 10^12
Now that both numbers have the same exponent (10^12), we can add them:
0.0256 x 10^12 + 4.82 x 10^12
Adding the coefficients (numbers in front of the exponent):
0.0256 + 4.82 = 4.8456
Therefore, the sum of 2.56 x 10^-2 and 4.82 x 10^12 is 4.8456 x 10^12.
2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and add them. Show your work.
3 answers
is this right
Apologies for the mistake in my previous response. No, the previous response is incorrect.
To add the two given numbers, we need to first convert them to the same exponent.
Given:
2.56 x 10^-2
4.82 x 10^12
To convert the first number to the same exponent as the second number (10^12), we need to move the decimal point two places to the right and increase the exponent by 2:
2.56 x 10^-2 = 0.0256 x 10^12
Now we can add the numbers:
0.0256 x 10^12 + 4.82 x 10^12
To add the numbers, we only need to add the coefficients (numbers in front of the exponent):
0.0256 + 4.82 = 4.8456
Since the exponent is already 10^12, we don't need to change it. Thus, the sum of 2.56 x 10^-2 and 4.82 x 10^12 is:
4.8456 x 10^12
To add the two given numbers, we need to first convert them to the same exponent.
Given:
2.56 x 10^-2
4.82 x 10^12
To convert the first number to the same exponent as the second number (10^12), we need to move the decimal point two places to the right and increase the exponent by 2:
2.56 x 10^-2 = 0.0256 x 10^12
Now we can add the numbers:
0.0256 x 10^12 + 4.82 x 10^12
To add the numbers, we only need to add the coefficients (numbers in front of the exponent):
0.0256 + 4.82 = 4.8456
Since the exponent is already 10^12, we don't need to change it. Thus, the sum of 2.56 x 10^-2 and 4.82 x 10^12 is:
4.8456 x 10^12