Solve −22+(−19) and connect the correct model to the algorithm.(1 point) Responses Image with alt text: A number line with arrows on both the ends is shown ranging from 0 to 50 with tick marks in unit increments of 1. A horizontal line appears above the number line. It starts at zero and extends to 22 then step ups and continues horizontally to 41. The label for 22 is enclosed in a box. A vertical line extends downward from the box and terminates at the 22nd tick mark on the number line. A vertical line extends upwards from the box and then continues at a right angle to the right. The line is interrupted by a label for 19. The label for 19 is enclosed in a box. A horizontal line continues past the number 19 label and extends to a label for 41. The label for 41 is enclosed in a box. The label for 41 centered vertically over the 41st tick mark on the number line. The markings on the number line are labeled for 0, 10, 20, 30, 40, and 50. Image with alt text: A number line with arrows on both the ends is shown ranging from 0 to 50 with tick marks in unit increments of 1. A horizontal line appears above the number line. It starts at zero and extends to 22. Number 22 is labeled above the line. The label for 22 is enclosed in a box. A vertical line extends downward from the box and terminates at the 22nd tick mark on the number line. A vertical line extends upwards from the box and then continues at a right angle to the left. The line is interrupted by a label for negative 19. The label for negative 19 is enclosed in a box. A horizontal line continues past the number negative 19 label and extends to a label for 3. The label for 3 is enclosed in a box. The label for 3 is centered vertically over the third tick mark on the number line. The markings on the number line are labeled for 0, 10, 20, 30, 40, and 50. Image with alt text: A number line with arrows on both the ends ranges from negative 50 to 0 in unit increments of 1 and labeled increments of 10. Two lines are above the number line. One extends from 0 to negative 22. The other extends from negative 22 to negative 41. The lines above the number line are not aligned. The bottom line extends from 0 to negative 22. The top line extends from negative 22 to negative 41. A label for negative 22 appears in a box in the space above the terminus of the bottom line and below the beginning of the top line. The top line is interrupted by two labeled numbers. A label for negative 19 appears in a box approximately at the mid-point of the top line. A label for negative 41 appears in a box as the terminus of the top line. Image with alt text: A number line with arrows on both the ends ranges from negative 50 to 0 in unit increments of 1 and labeled increments of 10. Two lines are above the number line. One extends from 0 to negative 22. The other extends from negative 22 to negative 3. The lines above the number line are not aligned. The bottom line extends from 0 to negative 22. The top line extends from negative 22 to negative 3. A label for negative 22 appears in a box in the space above the terminus of the bottom line and below the beginning of the top line. The top line is interrupted by two labeled numbers. A label for negative 19 appears in a box approximately at one third of the length of the top line. A label for negative 3 appears in a box as the terminus of the top line. Skip to navigation

3 answers

To solve the expression \( -22 + (-19) \), we can interpret it as moving further left on the number line, since we are adding two negative numbers.

  1. Start at \(-22\).
  2. Move left \(19\) units on the number line.

Calculating the sum: \[ -22 + (-19) = -22 - 19 = -41 \]

Now, concerning the models provided:

  • The first model shows the addition of \(-19\) to \(-22\) and culminates at \(-41\).
  • Therefore, this model correctly represents the operation and final result of \(-22 + (-19)\).

Final answer: \[ -22 + (-19) = -41 \] The model that shows the movement from \(-22\) to \(-41\) after adding \(-19\) is the one that connects correctly with the algorithm.

so the one i picked?

Yes, if you selected the model that shows starting at \(-22\), moving left to account for adding \(-19\), and ending at \(-41\), then you picked the correct model. It accurately represents the operation \( -22 + (-19) = -41 \). If you have any other questions or need further clarification, feel free to ask!