2.56 ✕ 10^-2 4.82 ✕ 10^12
Choose two of the scientific numbers from the list and add them. Show your work.
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.
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 two numbers in scientific notation, we need to make sure that the exponents are the same. Let's choose the numbers 2.56 × 10^-2 and 4.82 × 10^12:
2.56 × 10^-2 + 4.82 × 10^12
To make the exponents the same, we can convert 2.56 × 10^-2 to scientific notation with an exponent of 12:
2.56 × 10^-2 = 2.56 × 10^10 × 10^-12
Now we can add the numbers:
2.56 × 10^10 × 10^-12 + 4.82 × 10^12
When we add these numbers, we only consider the coefficients, not the exponents:
2.56 × 10^10 × 10^-12 + 4.82 × 10^12 = 2.56 + 4.82 × 10^12
Now we have the same exponents, so we can add the coefficients:
2.56 + 4.82 = 7.38
Therefore, 2.56 × 10^-2 + 4.82 × 10^12 = 7.38.
To add two numbers in scientific notation, we need to match the exponents. Let's choose 2.56 × 10^-2 and 4.82 × 10^12.
First, let's rewrite the numbers with the same exponent. We can do this by moving the decimal point to the right or left, depending on whether we decrease or increase the exponent. In this case, we need to move the decimal point in 2.56 × 10^-2 to the right and increase the exponent to match 10^12.
2.56 × 10^-2 can be rewritten as 0.0256 × 10^12.
Now, we can add the two numbers:
0.0256 × 10^12 + 4.82 × 10^12.
Since the exponents are the same, we can just add the coefficient:
(0.0256 + 4.82) × 10^12.
Calculating the sum of the coefficients gives us:
4.8456 × 10^12.
Therefore, when adding 2.56 × 10^-2 and 4.82 × 10^12, the result is 4.8456 × 10^12.