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Electricity Usage

publish date2025/04/21 20:51:51.172008 UTC

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The average U.S. household uses 10,656 kilowatt-hours of electricity each year.  Several energy conservation groups would like each household to take steps to reduce its electricity usage by 5%.  Estimate 5% of 10,656 kilowatt-hours.

(Source: U.S. Department of Energy)

Answer =

Correct Answer

(1) 533

Explanation

We will find 10% of 10,656.Then, we will divide an approximation of that result by 2.  5% of a number is one-half of 10% of a number.

Solution

First, we find 10% of 10,656.

  • Move the understood decimal point in 10,656 one place to the left
    • 10$ of 10,656 = 1,065.6

We will use 1,066 as an approximation of this result because it is close to 1,065.6 and because it is even, and, therefore, divisible by 2.Next,we divide the approximation by 2 to estimate 5% of 10,656.

$\frac{1,066}{2} = 533$

Theus 5% of 10,656 ≈ 533.  A 5% reduction in electricity usage by the average U.S. household is about 533 kilowatt-hours.

Reference

Mathematics for college students


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