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Which of the following equations is correctly calculated? \( -18 \div-2=-9 \) \( -24 \div 3=8 \) \( -6 \times-2=12 \) \( -5 \times-5=25 \)

Ask by Clarke Stewart. in the United States
Jan 26,2025

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Tutor-Verified Answer

Answer

The third and fourth equations are correctly calculated: \( -6 \times -2 = 12 \) and \( -5 \times -5 = 25 \).

Solution

Let's evaluate each of the provided equations to determine which ones are correctly calculated: 1. **\( -18 \div -2 = -9 \)** - **Calculation:** Dividing two negative numbers results in a positive number. - **Correct Result:** \( -18 \div -2 = 9 \) - **Verdict:** **Incorrect** 2. **\( -24 \div 3 = 8 \)** - **Calculation:** Dividing a negative number by a positive number results in a negative number. - **Correct Result:** \( -24 \div 3 = -8 \) - **Verdict:** **Incorrect** 3. **\( -6 \times -2 = 12 \)** - **Calculation:** Multiplying two negative numbers results in a positive number. - **Correct Result:** \( -6 \times -2 = 12 \) - **Verdict:** **Correct** 4. **\( -5 \times -5 = 25 \)** - **Calculation:** Multiplying two negative numbers results in a positive number. - **Correct Result:** \( -5 \times -5 = 25 \) - **Verdict:** **Correct** **Summary:** - The **third** and **fourth** equations are **correctly calculated**. \( -6 \times -2 = 12 \) \( -5 \times -5 = 25 \)

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Bonus Knowledge

Did you know that the first equation, \(-18 \div -2 = -9\), actually showcases how two negatives make a positive? Divide negative by negative and bingo, you get a positive result, which is indeed correct! Now, speaking of mathematics in real life, division and multiplication are fundamental in everything from budgeting your monthly expenses to adjusting recipes. Understanding how to deal with negatives can save you from a kitchen disaster or financial folly!

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