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In this problem, you will practice adding, subtracting, multiplying, and dividing numbers written in scientific notation. For e...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.
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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:
\[
1.94815481 \times 10^6
\]
### 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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