Subjects algebra

Distance Points 8E6673

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Question: Find the distance between $2.3$ and $-5.3$.
1. **State the problem:** We need to find the distance between the points $2.3$ and $-5.3$ on a number line. 2. **Formula:** The distance between two points $a$ and $b$ on a number line is given by the absolute value of their difference: $$\text{Distance} = |a - b|$$ 3. **Apply the formula:** Here, $a = 2.3$ and $b = -5.3$, so $$\text{Distance} = |2.3 - (-5.3)| = |2.3 + 5.3|$$ 4. **Calculate the sum inside the absolute value:** $$2.3 + 5.3 = 7.6$$ 5. **Evaluate the absolute value:** Since $7.6$ is positive, $$|7.6| = 7.6$$ 6. **Final answer:** The distance between $2.3$ and $-5.3$ is $$\boxed{7.6}$$
2.3-5.3