Question

Divide. Write your quotient in scientific notation.%0D%0A%0D%0A(1.5×107)÷(3×103)%0D%0A(%0D%0A1.5%0D%0A×%0D%0A10%0D%0A7%0D%0A)%0D%0A÷%0D%0A(%0D%0A3%0D%0A×%0D%0A10%0D%0A3%0D%0A)%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A2×104%0D%0A2%0D%0A×%0D%0A10%0D%0A4%0D%0A2 times 10 to the 4th power%0D%0A%0D%0A5×109%0D%0A5%0D%0A×%0D%0A10%0D%0A9%0D%0A5 times 10 to the 9th power%0D%0A%0D%0A5×103%0D%0A5%0D%0A×%0D%0A10%0D%0A3%0D%0A5 times 10 cubed%0D%0A%0D%0A0.5×104

Answer 1

To divide \( (1.5 \times 10^7) \) by \( (3 \times 10^3) \), you can separate the coefficients and the powers of 10.

**Step 1: Divide the coefficients**
\[
\frac{1.5}{3} = 0.5
\]

**Step 2: Subtract the exponents of the powers of 10**
\[
10^{7 - 3} = 10^4
\]

**Step 3: Combine the results**
\[
0.5 \times 10^4
\]

However, to write this in proper scientific notation, we need to express \( 0.5 \) as \( 5.0 \times 10^{-1} \). Therefore:

\[
0.5 \times 10^4 = 5.0 \times 10^{-1} \times 10^4 = 5.0 \times 10^{4 - 1} = 5.0 \times 10^3
\]

Thus, the final result in scientific notation is:
\[
\boxed{5.0 \times 10^3}
\]

Answer 2

u sure

Answer 3

Let’s go through the calculation again step by step.

We need to divide:

\[
(1.5 \times 10^7) \div (3 \times 10^3).
\]

### Step 1: Divide the coefficients
\[
\frac{1.5}{3} = 0.5.
\]

### Step 2: Subtract the exponents of the powers of 10
\[
10^{7 - 3} = 10^4.
\]

### Step 3: Combine the results
So, we have:
\[
0.5 \times 10^4.
\]

### Step 4: Convert to proper scientific notation
In scientific notation, we typically want the coefficient to be between 1 and 10. \( 0.5 \) can be rewritten as:
\[
0.5 = 5.0 \times 10^{-1}.
\]
So:
\[
0.5 \times 10^4 = 5.0 \times 10^{-1} \times 10^4 = 5.0 \times 10^{4 - 1} = 5.0 \times 10^3.
\]

Hence, the final answer in scientific notation is:

\[
\boxed{5.0 \times 10^3}.
\]

This confirms the previous response. Thank you for checking!