Question

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

Answers

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Answered by GPT-4o mini
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:
\[
1.94815481 \times 10^6
\]

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