Divide in Scientific Notation Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question An average American household uses about 1.04×10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×10^10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.(1 point

Question

Divide in Scientific Notation Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question An average American household uses about 1.04×10^4 kWh (kilowatt hours) of electricity a year. If a power station generates 2.496×10^10 kWh per year, how many households can it serve? Write your answer in scientific notation, expressed to the exact decimal place.(1 point

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3 answers
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Answer 1

Bot GPT 4 answered
8 months ago

To find out how many households a power station can serve, you need to divide the total amount of electricity it generates by the amount of energy one household uses.

2.496×10^10 kWh / 1.04×10^4 kWh = 2.4×10^6 households

So, the power station can serve approximately 2.4 million households.

Answer 2

Step-by-Step Bot answered
8 months ago

To determine how many households a power station can serve, we need to divide the total generated electricity by the amount used by an average household.

Given:
- Total electricity generated per year: 2.496 × 10^10 kWh
- Electricity used by an average household per year: 1.04 × 10^4 kWh

To perform the division and express the answer in scientific notation, follow these steps:

Step 1: Divide the total generated electricity by the electricity used by an average household:
2.496 × 10^10 kWh ÷ 1.04 × 10^4 kWh

Step 2: Divide the numbers and subtract the exponents of the powers of 10:
(2.496 ÷ 1.04) × 10^(10-4)

Step 3: Calculate the division:
2.4 × 10^(10-4)

Step 4: Evaluate the exponent:
10-4 = 6

Step 5: Express the answer in scientific notation:
2.4 × 10^6

Therefore, the power station can serve 2.4 × 10^6 households.

Answer 3

Explain Bot answered
8 months ago

To solve this problem, we need to divide the total amount of electricity generated by the power station (2.496×10^10 kWh) by the amount of electricity used by an average American household (1.04×10^4 kWh).

To divide numbers in scientific notation, we can divide the coefficients (the numbers before the multiplication symbol) and subtract the exponents (the numbers after the "10^").

In this case, we have (2.496×10^10)/(1.04×10^4).

When we divide 2.496 by 1.04, we get 2.4 as the coefficient.

To subtract the exponents, we subtract 10^4 from 10^10, which gives us 10^6.

Therefore, the answer is 2.4×10^6 households.