Question
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Tutor-Verified Answer
Answer
\[
-7.4 + 6.2 = -1.2
\]
Solution
To solve the equation:
\[
-7.4 + 6.2 = \square
\]
**Step-by-Step Solution:**
1. **Understand the Operation:**
- You are adding a negative number (-7.4) to a positive number (6.2).
2. **Perform the Addition:**
\[
-7.4 + 6.2 = -(7.4) + 6.2 = -1.2
\]
3. **Result:**
\[
-7.4 + 6.2 = -1.2
\]
**Final Answer:**
\[
-7.4 + 6.2 = \boxed{-1.2}
\]
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Simplify this solution Extra Insights
To solve \( -7.4 + 6.2 \), you can visualize it on a number line: start at -7.4 and move to the right by 6.2 units. This brings you to -1.2. So, the answer is \( -1.2 \). A common mistake when adding negative and positive numbers is forgetting that moving in the negative direction takes you further from zero. Always keep track of the signs and think of it as subtracting the smaller absolute value from the larger, maintaining the sign of the larger. In this case, \( -7.4 \) is larger in magnitude but negative, leading to a final sum of \( -1.2 \).
