In this problem, you will practice adding, subtracting, multiplying, and dividing numbers written in scientific notation. For each part, use the following numbers.

Question

  3.2×10^4          1.95×10^6         8.03×10^−8         2.56×10^−2         4.82×10^12

Choose one of the scientific numbers from the list and subtract it from 1,845.19 (or subtract 1,845.19 from the number you choose). Show your work.

Answer 1

Let's choose the scientific number \( 1.95 \times 10^6 \) and subtract \( 1845.19 \) from it.

Step 1: Convert \( 1.95 \times 10^6 \) to standard form.

To convert \( 1.95 \times 10^6 \) to standard form, we calculate: \[ 1.95 \times 10^6 = 1.95 \times 1000000 = 1950000 \]

Step 2: Perform the subtraction \( 1950000 - 1845.19 \).

Now, we can perform the subtraction: \[ 1950000 - 1845.19 = 1948154.81 \]

Step 3: Convert the result back to scientific notation.

To express \( 1948154.81 \) in scientific notation, we find the form \( a \times 10^b \) where \( 1 \leq a < 10 \).

We can write: \[ 1948154.81 = 1.94815481 \times 10^6 \]

Conclusion

So, the result of subtracting \( 1845.19 \) from \( 1.95 \times 10^6 \) is: \[ 1.94815481 \times 10^6 \]