To find the sum \( p + q \) using a number line, follow these steps:
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Locate \( p = -19 \) on the number line: Move to the left on the number line to find -19.
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Locate \( q = 12.1 \) from \( p \): From -19, you need to add \( q = 12.1 \). This means you will count spaces to the right. Since 12.1 is positive, you'll move to the right from -19.
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Count spaces: To find the exact position of \( p + q \), you can break this down:
- First, add 19 to get to zero (that's 19 spaces).
- Then, count the additional 12.1 spaces to the right to get to 12.1.
So in total, you will count \( 19 + 12.1 = 31.1 \) spaces to the right from -19.
In summary:
- Start at -19,
- Move 19 spaces to reach 0,
- Then move an additional 12.1 spaces to the right.
Thus, the sum \( p + q = -19 + 12.1 = -6.9 \).
You can represent the final answer on the number line positioned at \( -6.9 \).