Question

What was the difference in opening day payroll between the Los Angeles Dodgers (A) and the Houston Astros (B) in 2013?

A) 1.92 x 10^8
B) 2.4 x 10^7
C) 2.16 x 10^8
D) 1.6 x 10^7

Answer 1

To calculate the difference in opening day payroll between the Dodgers and the Astros, we align the exponents and perform subtraction. However, the calculated differences do not match any given choices, suggesting an error in the question or answer options.

Step-by-step explanation:

The question asks to find the difference in opening day payroll between the Los Angeles Dodgers and the Houston Astros in 2013. Given the payrolls are provided in scientific notation, we can subtract the smaller payroll (B) from the larger one (A or C) to find the difference.

To calculate the difference:

• If the Dodgers' payroll is 1.92 x 10^8 (Option A), and the Astros' payroll is 2.4 x 10^7, the difference is (1.92 x 10^8) - (2.4 x 10^7).
• Convert 2.4 x 10^7 to 0.24 x 10^8 to match the exponent.
• Then subtract: (1.92 x 10^8) - (0.24 x 10^8) = 1.68 x 10^8.
• If the Dodgers' payroll is 2.16 x 10^8 (Option C), the calculation would be (2.16 x 10^8) - (2.4 x 10^7), repeating the earlier step to match exponents before subtracting.

However, no matter which value we take for the Dodgers (A or C), neither subtraction gives an exact match to the provided answer options. Therefore, there must be an error in the question or the answer choices, as none of the choices accurately reflect the calculated difference given the provided information for the Dodgers' payrolls. In situations such as this, it is important to double-check provided data and calculations.

Answer 2

The difference in opening day payroll between the Los Angeles Dodgers and the Houston Astros in 2013 is calculated by subtraction. The Dodgers had a payroll of 1.92 x 10^8 and the Astros had 2.4 x 10^7. After converting and subtracting, the difference is 1.68 x 10^8, which isn't one of the provided options.

Step-by-step explanation:

To calculate the difference in opening day payroll between the Los Angeles Dodgers and the Houston Astros in 2013, we subtract the smaller number (B) from the larger number (A).

The payroll for the Dodgers (A) was 1.92 x 10^8, and the payroll for the Astros (B) was 2.4 x 10^7.

Let's do the subtraction:

A - B = (1.92 x 10^8) - (2.4 x 10^7)

To subtract these, we must have the same exponent for the powers of 10. Convert 2.4 x 10^7 to 0.24 x 10^8:

A - B = (1.92 x 10^8) - (0.24 x 10^8)

Now, subtract the decimal parts:

1.92 - 0.24 = 1.68

Therefore, the difference in payroll is:

1.68 x 10^8

This is not one of the options provided, which means there might be an error in the question or in the calculation. Please double-check the figures or the question for accuracy.