3.2 * 10 ^ 4; 1.95 * 10 ^ 6; 8.03 * 10 ^ - 8; 2.56 * 10 ^ - 2; 4.82 * 10 ^ 12 a. Choose two of the scientific numbers from the list and add them. Show your work.
Let's choose the numbers 1.95 * 10^6 and 2.56 * 10^-2.
To add these numbers, we need to have the same power of 10. The first number has 10^6 and the second number has 10^-2. We can convert the second number to have the same power of 10 by moving the decimal point 6 places to the left (for a positive exponent) or right (for a negative exponent).
The second number becomes 0.0256 * 10^6.
Now we can add the two numbers: 1.95 * 10^6 + 0.0256 * 10^6 = (1.95 + 0.0256) * 10^6 = 1.9756 * 10^6.
So, the sum of 1.95 * 10^6 and 2.56 * 10^-2 is 1.9756 * 10^6.
To add two numbers expressed in scientific notation, you need to make sure that they have the same exponent. Let's choose the numbers 3.2 * 10^4 and 8.03 * 10^-8 from the list.
Step 1: Adjust the exponents so that they are the same. To do this, we need to move the decimal point in 8.03 * 10^-8 two places to the right since -8 + 2 = -6. This gives us 8.03 * 10^-6.
Step 2: Now that the exponents are the same, we can add the numbers:
3.2 * 10^4 + 8.03 * 10^-6
Step 3: Add the numbers only without considering the exponents:
3.2 + 8.03 = 11.23
Step 4: Keep the common exponent and express the result in scientific notation:
= 11.23 * 10^4
Therefore, the sum of 3.2 * 10^4 and 8.03 * 10^-8 is 11.23 * 10^4.
Sure! Let's choose 3.2 * 10^4 and 1.95 * 10^6 to add together.
Step 1: Align the exponents.
Since both numbers have the same base of 10, we can add them together by aligning the exponents.
3.2 * 10^4
+ 1.95 * 10^6
Step 2: Adjust the digits.
To add the numbers, we need to adjust the digits so that they have the same exponent.
3.2 * 10^4 becomes 0.032 * 10^6 (moved the decimal point two places to the left)
1.95 * 10^6 remains the same
Now the digits are aligned.
Step 3: Add the digits.
We can now add the adjusted digits together.
0.032 * 10^6
+ 1.95 * 10^6
= 1.982 * 10^6
So, when we add 3.2 * 10^4 and 1.95 * 10^6, we get 1.982 * 10^6.