Asked by i love miners
. In this problem, you will practice adding, subtracting, multiplying, and dividing
numbers written in scientific notation. For each part, use the following numbers. 3.2x10^4 1.95x10^6 8.03x10^-8 2.56 x 10^-2 4.82 x10^12,Choose two of the scientific numbers from the list and add them. Show your
work
numbers written in scientific notation. For each part, use the following numbers. 3.2x10^4 1.95x10^6 8.03x10^-8 2.56 x 10^-2 4.82 x10^12,Choose two of the scientific numbers from the list and add them. Show your
work
Answers
Answered by
i love miners
pls short it make it look like a 8h grade and dont add any symbols no more symbols just answer the question with numbers and sittl to show your work
Answered by
i love miners
. Choose two of the scientific numbers from the list and subtract them. Show
your work.
your work.
Answered by
i love miners
pls short it make it look like a 8h grade and dont add any symbols no more symbols just answer the question with numbers and sittl to show your work
Answered by
i love miners
1950000
Answered by
i love miners
is 1950000 is thousand
Answered by
GPT-4o mini
To add two numbers in scientific notation, they must first have the same exponent. Let's choose \(3.2 \times 10^4\) and \(1.95 \times 10^6\).
### Step 1: Adjust the numbers to have the same exponent
We can convert \(3.2 \times 10^4\) to have the same exponent as \(1.95 \times 10^6\). Since \(10^6\) is larger than \(10^4\), we will convert \(3.2 \times 10^4\) to \(10^6\):
\[
3.2 \times 10^4 = 3.2 \times 10^4 \cdot \frac{10^2}{10^2} = 3.2 \times 100 \times 10^{-2} = 320 \times 10^{-2}
\]
So, we rewrite \(3.2 \times 10^4\) as:
\[
320 \times 10^{-2}
\]
### Step 2: Make the addition
Now we can add \(320 \times 10^{-2}\) and \(1.95 \times 10^6\) after converting \(1.95 \times 10^6\) to match the exponent:
\[
1.95 \times 10^6 = 1.95 \times 10^6 \cdot \frac{10^{-4}}{10^{-4}} = 1.95 \times 10^2 \times 10^4 = 195000 \times 10^{-4}
\]
Convert \(320 \times 10^{-2}\) into \(10^{-4}\):
\[
320 \times 10^{-2} = 320 \times 10^{2} \cdot 10^{-4} = 32000 \times 10^{-4}
\]
### Step 3: Add the two numbers
Now we can add:
\[
32000 \times 10^{-4} + 1950000 \times 10^{-4} = (32000 + 1950000) \times 10^{-4} = 1982000 \times 10^{-4}
\]
### Step 4: Convert back to scientific notation
Now we convert \(1982000 \times 10^{-4}\) back to scientific notation:
\[
1982000 = 1.982 \times 10^6
\]
So,
\[
1982000 \times 10^{-4} = 1.982 \times 10^{2}
\]
### Final Result
Thus, the sum of \(3.2 \times 10^4\) and \(1.95 \times 10^6\) is:
\[
1.982 \times 10^{2}
\]
### Step 1: Adjust the numbers to have the same exponent
We can convert \(3.2 \times 10^4\) to have the same exponent as \(1.95 \times 10^6\). Since \(10^6\) is larger than \(10^4\), we will convert \(3.2 \times 10^4\) to \(10^6\):
\[
3.2 \times 10^4 = 3.2 \times 10^4 \cdot \frac{10^2}{10^2} = 3.2 \times 100 \times 10^{-2} = 320 \times 10^{-2}
\]
So, we rewrite \(3.2 \times 10^4\) as:
\[
320 \times 10^{-2}
\]
### Step 2: Make the addition
Now we can add \(320 \times 10^{-2}\) and \(1.95 \times 10^6\) after converting \(1.95 \times 10^6\) to match the exponent:
\[
1.95 \times 10^6 = 1.95 \times 10^6 \cdot \frac{10^{-4}}{10^{-4}} = 1.95 \times 10^2 \times 10^4 = 195000 \times 10^{-4}
\]
Convert \(320 \times 10^{-2}\) into \(10^{-4}\):
\[
320 \times 10^{-2} = 320 \times 10^{2} \cdot 10^{-4} = 32000 \times 10^{-4}
\]
### Step 3: Add the two numbers
Now we can add:
\[
32000 \times 10^{-4} + 1950000 \times 10^{-4} = (32000 + 1950000) \times 10^{-4} = 1982000 \times 10^{-4}
\]
### Step 4: Convert back to scientific notation
Now we convert \(1982000 \times 10^{-4}\) back to scientific notation:
\[
1982000 = 1.982 \times 10^6
\]
So,
\[
1982000 \times 10^{-4} = 1.982 \times 10^{2}
\]
### Final Result
Thus, the sum of \(3.2 \times 10^4\) and \(1.95 \times 10^6\) is:
\[
1.982 \times 10^{2}
\]
Answered by
GPT-4o mini
Sure! Here’s a simplified version showing the work:
1. Choose numbers:
3.2 × 10^4
1.95 × 10^6
2. Adjust to the same exponent:
Convert 3.2 × 10^4 to 10^6:
3.2 × 10^4 = 0.032 × 10^6
3. Add the numbers:
0.032 × 10^6 + 1.95 × 10^6
= (0.032 + 1.95) × 10^6
= 1.982 × 10^6
4. Final answer:
1.982 × 10^6
1. Choose numbers:
3.2 × 10^4
1.95 × 10^6
2. Adjust to the same exponent:
Convert 3.2 × 10^4 to 10^6:
3.2 × 10^4 = 0.032 × 10^6
3. Add the numbers:
0.032 × 10^6 + 1.95 × 10^6
= (0.032 + 1.95) × 10^6
= 1.982 × 10^6
4. Final answer:
1.982 × 10^6
Answered by
GPT-4o mini
Let's choose the numbers \(1.95 \times 10^6\) and \(2.56 \times 10^{-2}\) for subtraction.
1. **Write the numbers**:
\(1.95 \times 10^6\)
\(2.56 \times 10^{-2}\)
2. **Adjust to the same exponent**:
Convert \(1.95 \times 10^6\) to have an exponent of \(10^{-2}\):
\(1.95 \times 10^6 = 1.95 \times 10^6 \cdot \frac{10^{-4}}{10^{-4}} = 1.95 \times 10^2 \times 10^4 = 1,950,000 \times 10^{-4}\)
Alternatively, \(2.56 \times 10^{-2}\) can be written as
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
3. **Convert \(2.56 \times 10^{-2}\) to have an exponent of \(10^6\)**:
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
4. **Rewrite for easy subtraction**:
We can keep both numbers in terms of \(10^6\):
\(1.95 \times 10^6 = 1,950,000 \times 10^{-4}\)
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
5. **Perform the subtraction**:
\(1.95 \times 10^6 - 2.56 \times 10^{-2}\)
= \(1.95 \times 10^6 - 0.0000256 \times 10^6\)
= \((1.95 - 0.0000256) \times 10^6\)
= \(1.9499744 \times 10^6\)
6. **Final result**:
\(1.9499744 \times 10^6\)
1. **Write the numbers**:
\(1.95 \times 10^6\)
\(2.56 \times 10^{-2}\)
2. **Adjust to the same exponent**:
Convert \(1.95 \times 10^6\) to have an exponent of \(10^{-2}\):
\(1.95 \times 10^6 = 1.95 \times 10^6 \cdot \frac{10^{-4}}{10^{-4}} = 1.95 \times 10^2 \times 10^4 = 1,950,000 \times 10^{-4}\)
Alternatively, \(2.56 \times 10^{-2}\) can be written as
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
3. **Convert \(2.56 \times 10^{-2}\) to have an exponent of \(10^6\)**:
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
4. **Rewrite for easy subtraction**:
We can keep both numbers in terms of \(10^6\):
\(1.95 \times 10^6 = 1,950,000 \times 10^{-4}\)
\(2.56 \times 10^{-2} = 0.0000256 \times 10^6\)
5. **Perform the subtraction**:
\(1.95 \times 10^6 - 2.56 \times 10^{-2}\)
= \(1.95 \times 10^6 - 0.0000256 \times 10^6\)
= \((1.95 - 0.0000256) \times 10^6\)
= \(1.9499744 \times 10^6\)
6. **Final result**:
\(1.9499744 \times 10^6\)
Answered by
GPT-4o mini
Sure! Here's a simplified version:
1. Choose numbers:
1.95 × 10^6
2.56 × 10^-2
2. Adjust to the same exponent:
Convert 1.95 × 10^6 to 10^-2:
1.95 × 10^6 = 1950000 × 10^-2
3. Now we have:
1950000 × 10^-2
2.56 × 10^-2
4. Subtract the numbers:
1950000 × 10^-2 - 2.56 × 10^-2
= (1950000 - 2.56) × 10^-2
= 1949997.44 × 10^-2
5. Final answer:
1.94999744 × 10^6
1. Choose numbers:
1.95 × 10^6
2.56 × 10^-2
2. Adjust to the same exponent:
Convert 1.95 × 10^6 to 10^-2:
1.95 × 10^6 = 1950000 × 10^-2
3. Now we have:
1950000 × 10^-2
2.56 × 10^-2
4. Subtract the numbers:
1950000 × 10^-2 - 2.56 × 10^-2
= (1950000 - 2.56) × 10^-2
= 1949997.44 × 10^-2
5. Final answer:
1.94999744 × 10^6
Answered by
GPT-4o mini
I apologize for any confusion. Here is the subtraction step by step in a clear and simple format:
1. Choose numbers:
1.95 × 10^6
2.56 × 10^-2
2. Convert 1.95 × 10^6 to the same exponent as 2.56 × 10^-2:
1.95 × 10^6 = 1950000 × 10^-2
3. Now we have:
1950000 × 10^-2
2.56 × 10^-2
4. Subtract the numbers:
1950000 - 2.56 = 1949997.44
5. Write the result in scientific notation:
1949997.44 × 10^-2 = 1.94999744 × 10^6
Final answer:
1.94999744 × 10^6
1. Choose numbers:
1.95 × 10^6
2.56 × 10^-2
2. Convert 1.95 × 10^6 to the same exponent as 2.56 × 10^-2:
1.95 × 10^6 = 1950000 × 10^-2
3. Now we have:
1950000 × 10^-2
2.56 × 10^-2
4. Subtract the numbers:
1950000 - 2.56 = 1949997.44
5. Write the result in scientific notation:
1949997.44 × 10^-2 = 1.94999744 × 10^6
Final answer:
1.94999744 × 10^6
Answered by
GPT-4o mini
Yes, 1,950,000 is one million nine hundred fifty thousand. If you break it down:
- It has 1 million (1,000,000)
- Followed by 9 hundred thousand (900,000)
- Followed by 5 ten thousand (50,000)
- And 0 thousand (0)
- Finally, it has 0 tens and 0 units.
So in full, it is one million nine hundred fifty thousand, which can also be referred to as one million nine hundred fifty in the context of scientific notation when considering powers of ten.
If you need anything further clarified, feel free to ask!
- It has 1 million (1,000,000)
- Followed by 9 hundred thousand (900,000)
- Followed by 5 ten thousand (50,000)
- And 0 thousand (0)
- Finally, it has 0 tens and 0 units.
So in full, it is one million nine hundred fifty thousand, which can also be referred to as one million nine hundred fifty in the context of scientific notation when considering powers of ten.
If you need anything further clarified, feel free to ask!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.