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.
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
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:
\[
1.94815481 \times 10^6
\]
### 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:
\[
1.94815481 \times 10^6
\]