To find the sum \( p + q \) using a number line when \( p = -19 \) and \( q = 12.1 \), follow these steps:
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Locate \( p \) on the number line: Start by finding the position of \( -19 \) on the number line. This is 19 spaces to the left of 0.
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Move to the right by \( q \): Since \( q = 12.1 \), you need to move 12.1 spaces to the right from the position of \( -19 \).
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Count the spaces: First, move 12 spaces to the right from \( -19 \), which brings you to \( -7 \). Then, move an additional 0.1 space to the right (which can be represented as moving slightly past \( -7 \) towards \( -6.9 \)).
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Determine the final position: After moving 12.1 spaces to the right from \( -19 \), you will end up at approximately \( -6.9 \).
So, the sum \( p + q \) is approximately \( -6.9 \).