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Which of the following correctly shows the quotient of 80 divided by 5 ? \( \frac{80}{5}=14 \) \( \frac{80}{5}=16 \) \( 5 \div 80=16 \) \( 80 \div 5=75 \)

Ask by Pritchard Welch. in the United States
Jan 31,2025

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Answer

The correct quotient of \( 80 \div 5 \) is \( 16 \).

Solution

The correct quotient of \( 80 \div 5 \) is \( 16 \). Let's evaluate each option: 1. \( \frac{80}{5} = 14 \) **Incorrect**, because \( 80 \div 5 = 16 \). 2. \( \frac{80}{5} = 16 \) **Correct**, as \( 80 \div 5 = 16 \). 3. \( 5 \div 80 = 16 \) **Incorrect**, because \( 5 \div 80 = 0.0625 \), not \( 16 \). 4. \( 80 \div 5 = 75 \) **Incorrect**, because \( 80 \div 5 = 16 \), not \( 75 \). **Therefore, the correct option is:** \[ \frac{80}{5} = 16 \]

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The Deep Dive

Did you know that the division of numbers has been used since ancient civilizations, such as the Babylonians, who developed counting systems around 2000 BC? They used tables to perform divisions, and the concept of division evolved significantly over time, leading to modern arithmetic techniques we use today, including long division and division with decimals. In practical terms, understanding division helps in everyday situations like budgeting or cooking. If you’re preparing a meal and you have 80 ounces of flour but need to separate it into portions of 5 ounces each, knowing that \( \frac{80}{5} = 16 \) helps you determine that you can make 16 portions. It’s all about making life easier and getting just the right amount!

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