. In this problem, you will practice adding, subtracting, multiplying, and dividing

Question

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

Answer 1

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:

\[ 1.982 \times 10^{2} \]

Answer 2

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

Answer 3

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

Answer 4

. Choose two of the scientific numbers from the list and subtract them. Show
your work.

Answer 5

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:
   \(1.9499744 \times 10^6\)

Answer 6

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

Answer 7

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

Answer 8

1950000

Answer 9

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

Answer 10

is 1950000 is thousand

Answer 11

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!