4 According to a recent survey, the number of pet dogs and cats in the United States is about \( 183,900,000 \). Write an estimate for the number of pet dogs and cats as a single digit times an integer power of 10 . Show your work.
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Beyond the Answer
To express the number \( 183,900,000 \) in scientific notation, we first need to find a single digit followed by a power of ten. 1. Start with the number: \( 183,900,000 \). 2. Move the decimal point 8 places to the left to get \( 1.839 \). 3. Since we moved the decimal 8 places, we can express the number as: \[ 1.839 \times 10^8 \]. To convert this to match the requirement of one digit followed by an integer power of ten, we can round \( 1.839 \) to \( 2 \) (since we are estimating): Final estimate: \( 2 \times 10^8 \).