b. Choose two of the scientific numbers from the list and subtract them. Show
your work.
8.03-10^8
To subtract 8.03 from 10^8, we can rewrite 10^8 as 100,000,000. Then we subtract 8.03 from this number:
100,000,000 - 8.03 = 99,999,991.97
To subtract the numbers 8.03 and 10^8, follow these steps:
Step 1: Rewrite 10^8 as a regular number: 10^8 = 100,000,000.
Step 2: Subtract 8.03 from 100,000,000.
100,000,000 - 8.03 = 99,999,991.97.
So, the result of subtracting 8.03 from 10^8 is 99,999,991.97.
To subtract two scientific numbers, you need to ensure that they have the same exponent. In this case, the first number, 8.03, is not in scientific notation, while the second number, 10^8, is in scientific notation. To compare them, we need to convert 8.03 to scientific notation.
To convert 8.03 to scientific notation, count the number of decimal places it moves to the left to become a number between 1 and 10. In this case, we move the decimal point two places to the left, resulting in 0.803. Additionally, we need to multiply this number by 10^2 to balance the movement of the decimal point. Therefore, 8.03 in scientific notation is 0.803 * 10^2.
Now that both numbers are in scientific notation, we can subtract them by subtracting the coefficients (the numbers in front of 10) and keeping the same exponent. In this case, we have:
(0.803 * 10^2) - (10^8)
To subtract the coefficients, we subtract 0.803 from 1, which gives us:
1 - 0.803 = 0.197
Therefore, the result of subtracting 8.03 - 10^8 is 0.197 * 10^2.
Note: The exponent remains the same because when subtracting scientific notation numbers, we only perform the subtraction operation on the coefficients, not the exponents.