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Choose one of the scientific numbers from the list and divide it by 0.3 (or

divide 0.3 by the number you choose). Show your work. 3.2 x 10 power of 4

11 answers

Let's choose the scientific number \( 3.2 \times 10^4 \) and divide it by \( 0.3 \).

Step 1: Convert \( 3.2 \times 10^4 \) to standard form

\[ 3.2 \times 10^4 = 32000 \]

Step 2: Divide by \( 0.3 \)

\[ \frac{32000}{0.3} \]

Step 3: Perform the division

To make the division simpler, we can multiply both the numerator and the denominator by 10 to eliminate the decimal: \[ \frac{32000 \times 10}{0.3 \times 10} = \frac{320000}{3} \]

Step 4: Calculate \( \frac{320000}{3} \)

Now we divide: \[ 320000 \div 3 \approx 106666.67 \]

Step 5: Convert back to scientific notation

We can express \( 106666.67 \) in scientific notation: \[ 106666.67 = 1.06666667 \times 10^5 \]

Final Result

So, \( \frac{3.2 \times 10^4}{0.3} \approx 1.067 \times 10^5 \) (rounded to three significant figures).

Do it short

Sure! Here’s the concise version:

  1. Choose \( 3.2 \times 10^4 \).
  2. Calculate: \[ \frac{3.2 \times 10^4}{0.3} = \frac{32000}{0.3} = 32000 \times \frac{10}{3} \approx 106666.67 \]
  3. Convert to scientific notation: \[ 106666.67 \approx 1.067 \times 10^5 \]

Final Result

\[ \frac{3.2 \times 10^4}{0.3} \approx 1.067 \times 10^5 \]

Just give the answer without the {

1.067 x 10^5

What about 8.03 x 10 power of minus 8

To divide \( 8.03 \times 10^{-8} \) by \( 0.3 \):

  1. Calculate: \[ \frac{8.03 \times 10^{-8}}{0.3} = \frac{8.03}{0.3} \times 10^{-8} \]

  2. Now calculate \( \frac{8.03}{0.3} \): \[ \frac{8.03}{0.3} \approx 26.7667 \]

  3. Combine with \( 10^{-8} \): \[ 26.7667 \times 10^{-8} \]

  4. Convert to scientific notation: \[ 2.67667 \times 10^{-7} \approx 2.68 \times 10^{-7} \text{ (rounded to three significant figures)} \]

Final answer: 2.68 x 10^-7

What about 2.56 x 10 minus 2

To divide \( 2.56 \times 10^{-2} \) by \( 0.3 \):

  1. Calculate: \[ \frac{2.56 \times 10^{-2}}{0.3} = \frac{2.56}{0.3} \times 10^{-2} \]

  2. Now calculate \( \frac{2.56}{0.3} \): \[ \frac{2.56}{0.3} \approx 8.5333 \]

  3. Combine with \( 10^{-2} \): \[ 8.5333 \times 10^{-2} \]

  4. Convert to scientific notation: \[ 8.5333 \times 10^{-2} = 8.53 \times 10^{-2} \text{ (rounded to three significant figures)} \]

Final answer: 8.53 x 10^-2

What bout 4.82 x 10 power of 12

To divide \( 4.82 \times 10^{12} \) by \( 0.3 \):

  1. Calculate: \[ \frac{4.82 \times 10^{12}}{0.3} = \frac{4.82}{0.3} \times 10^{12} \]

  2. Now calculate \( \frac{4.82}{0.3} \): \[ \frac{4.82}{0.3} \approx 16.0667 \]

  3. Combine with \( 10^{12} \): \[ 16.0667 \times 10^{12} \]

  4. Convert to scientific notation: \[ 16.0667 \times 10^{12} = 1.60667 \times 10^{13} \text{ (moved the decimal point)} \]

Final answer: 1.61 x 10^13 (rounded to three significant figures)