Question

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

Answer 1

Do it short

Answer 2

Just give the answer without the {

Answer 3

What about 8.03 x 10 power of minus 8

Answer 4

What about 2.56 x 10 minus 2

Answer 5

What bout 4.82 x 10 power of 12

Answer 6

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).

Answer 7

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

Answer 8

1.067 x 10^5

Answer 9

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

Answer 10

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

Answer 11

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)