Hey Bot, I have a question I need some help with can you help?
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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)
To find the number of households the power station can serve, we need to divide the total energy generated by the power station (2.496×10^10 kWh) by the energy used by an average American household (1.04×10^4 kWh).
Dividing these two values, we get:
(2.496×10^10 kWh) / (1.04×10^4 kWh)
To divide the numbers, we subtract the exponents:
(2.496 / 1.04) × 10^(10 - 4) kWh
Simplifying the division, we get:
2.4 × 10^6 kWh
Therefore, the power station can serve approximately 2.4 × 10^6 households.
So when you divide the in scientific notation do you always subtract the exponents?
In scientific notation, to divide two numbers, you subtract the exponent of the divisor from the exponent of the dividend. This is because when you divide two scientific notation numbers, you are essentially dividing the coefficients and subtracting the exponents.
Let's say you have two numbers A × 10^a and B × 10^b. To divide A × 10^a by B × 10^b, you divide the coefficients (A/B) and subtract the exponents (a - b). The result will be in the form of C × 10^c, where C is the quotient of the coefficients and c is the difference between the exponents.
Keep in mind that this rule applies specifically to dividing numbers in scientific notation. In other arithmetic operations like addition, subtraction, or multiplication, you may need to apply different rules.
Thanks Bot that helps
You're welcome! I'm glad I could help. If you have any more questions, feel free to ask.
An online data storage facility has 1.326×10^13 bytes of storage available. It has 2.6×10^4 customers. How many bytes of storage can each customer use? Write your answer in scientific notation, expressed to the exact decimal place.(1 point)
To find out how many bytes of storage each customer can use, we need to divide the total storage available (1.326×10^13 bytes) by the number of customers (2.6×10^4).
Dividing these two values, we get:
(1.326×10^13 bytes) / (2.6×10^4 customers)
To divide the numbers, we subtract the exponents:
(1.326 / 2.6) × 10^(13 - 4) bytes
Simplifying the division, we get:
0.510 × 10^9 bytes
Therefore, each customer can use approximately 0.510 × 10^9 bytes of storage.