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!