Final answer:
The sum of David's cards (-6, 12, and -4) is determined by sequentially moving along the number line: starting at zero, moving left for -6, right for 12, and left again for -4. The final sum is 2.
Step-by-step explanation:
The sum of the cards that David drew can be calculated by adding the three integers together: -6, 12, and -4. When adding integers, we can use the number line to visualize the process.
- Starting at zero, move six units to the left for -6.
- From there, move 12 units to the right for 12.
- Finally, move four units to the left for -4.
The final position on the number line after all these moves represents the sum of the integers. So, the calculation would be -6 + 12 + (-4). Adding -6 and 12 gives us 6, and then adding -4 to that gives us a sum of 2. Hence, the sum of the cards is 2.