Determine the answer to (−5) + 4 and explain the steps using a number line (5 points)
To determine the answer to (-5) + 4, we can use a number line to visualize the process.
1. Draw a horizontal line and mark a point labeled 0 in the center.
2. To the left of 0 on the number line, mark a point labeled -1, then another -2, -3, -4, and -5 in sequence.
3. To the right of 0, mark a point labeled 1, then another 2, 3, and 4 in sequence.
Now, let's start at -5 on the number line:
-5 -4 -3 -2 -1 0 1 2 3 4
4
Starting from -5, we want to move 4 units to the right. Each unit represents adding 1, so we need to add 4 units or 4 positive numbers.
-5 -4 -3 -2 -1 0 1 2 3 4
↑ ↑ ↑ ↑
After moving 4 units to the right, we land on the point labeled 4. Therefore, (-5) + 4 equals 4.
Thus, the answer is 4, as we started at -5 on the number line and moved 4 units to the right to reach 4.
To determine the answer to (-5) + 4 and explain the steps using a number line, follow these steps:
Step 1: Draw a number line. Label the numbers from -5 to 4, including 0.
-5 -4 -3 -2 -1 0 1 2 3 4
Step 2: Start at -5 on the number line.
Step 3: Move 4 units to the right, in the positive direction.
-5 -4 -3 -2 -1 0 1 2 3 4
↑
Step 4: The final position is at -1.
Thus, the answer to (-5) + 4 is -1.
To determine the sum of −5 and 4, we can use a number line to visualize the steps.
Step 1: Start by locating the starting point on the number line, which is at −5.
Step 2: Since we need to add 4, we move 4 units to the right on the number line.
Step 3: By moving 4 units to the right, we land at the point −1.
Therefore, the sum of −5 and 4 is −1.
Explanation: On a number line, positive numbers are represented to the right of zero, and negative numbers are represented to the left. When we add a positive number, we move to the right on the number line, and when we add a negative number, we move to the left. In this case, we started at −5 and added 4, which brought us to −1.