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Choose one of the scientific numbers from the list and multiply it by 256.7. Show your work

3.2 x 10 power 4, 1.95 x 10 power 6, 8.03 x 10 power minus 8, 2.56 x 10 power minus 2, 4.82 x 10 power 12

Show all ur work

11 answers

Let's choose the scientific number \( 2.56 \times 10^{-2} \) and multiply it by \( 256.7 \).

Step 1: Convert \( 256.7 \) to scientific notation.

To express \( 256.7 \) in scientific notation, we write it as: \[ 256.7 = 2.567 \times 10^2 \]

Step 2: Multiply the two scientific numbers.

Now we can multiply these two numbers:

\[ (2.56 \times 10^{-2}) \times (2.567 \times 10^2) \]

Step 3: Multiply the coefficients.

First, multiply the coefficients \( 2.56 \) and \( 2.567 \):

\[ 2.56 \times 2.567 \approx 6.56032 \]

Step 4: Add the exponents of 10.

Now we add the exponents of \( 10 \):

\[ 10^{-2} \times 10^{2} = 10^{-2 + 2} = 10^{0} = 1 \]

Step 5: Combine the results.

Putting it all together, we get:

\[ 6.56032 \times 10^{0} = 6.56032 \]

Since \( 10^{0} \) is \( 1 \), we can finalize the result without the exponent:

\[ \approx 6.56032 \]

Therefore, \( (2.56 \times 10^{-2}) \times 256.7 \approx 6.56032 \).

Give me the answer of 3.2 x 10 power

Let's multiply \( 3.2 \times 10^{4} \) by \( 256.7 \).

Step 1: Convert \( 256.7 \) to scientific notation.

To express \( 256.7 \) in scientific notation: \[ 256.7 = 2.567 \times 10^{2} \]

Step 2: Multiply the two scientific numbers.

Now we multiply: \[ (3.2 \times 10^{4}) \times (2.567 \times 10^{2}) \]

Step 3: Multiply the coefficients.

First, multiply the coefficients \( 3.2 \) and \( 2.567 \): \[ 3.2 \times 2.567 \approx 8.19744 \]

Step 4: Add the exponents of 10.

Now add the exponents of \( 10 \): \[ 10^{4} \times 10^{2} = 10^{4 + 2} = 10^{6} \]

Step 5: Combine the results.

Putting it all together, we get: \[ 8.19744 \times 10^{6} \]

Final Answer: \[ 3.2 \times 10^{4} \times 256.7 \approx 8.19744 \times 10^{6} \]

If you want it in a more standard scientific notation, it can be rounded: \[ \approx 8.20 \times 10^{6} \]

Just give me the answer not a full essay

The answer is approximately \( 8.20 \times 10^{6} \).

What bout 1.95 x 10 power 6

The answer for \( 1.95 \times 10^{6} \times 256.7 \) is approximately \( 5.01 \times 10^{8} \).

And 8.03 x 10 power minus 8

The answer for \( 8.03 \times 10^{-8} \times 256.7 \) is approximately \( 2.06 \times 10^{-5} \).

And 2.56 x 10 power minus 2

The answer for \( 2.56 \times 10^{-2} \times 256.7 \) is approximately \( 6.56 \times 10^{0} \) or \( 6.56 \).