To find the sum \( p + q \) using a number line with \( p = -19 \) and \( q = 12.1 \), follow these steps:
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Locate \( p \) on the Number Line: Start by finding \(-19\) on the number line. This point is 19 units to the left of zero.
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Count Spaces to the Right: From \(-19\), you need to move to the right by the value of \( q \), which is \( 12.1 \).
- First, move 12 spaces to the right. This will take you from \(-19\) to \(-7\).
- Next, move an additional 0.1 space to the right. This brings you to \(-6.9\).
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Identify the Final Position: The final position on the number line represents the sum \( p + q \).
Thus, \( p + q = -19 + 12.1 = -6.9 \).
In summary, by locating \(-19\) and moving right \( 12.1 \) spaces, you find that the sum \( p + q = -6.9 \).