Question

22,079 Learners found this answer helpful

hal 1.2 - adding integers (copy)

1. write an addition expression represented by the number line. then find the sum.

number line with -4 and 3 arrows
an expression is
the sum is

1. write an addition expression represented by the number line. then find the sum.

number line with 4 and -2 arrows
an expression is
the sum is

Explanation:

Problem 1

Step1: Analyze the number line movements

The first arrow (backward) is -4 (from 3 to -1? Wait, no, looking at the number line: the first segment (the upper backward arrow) is length -4? Wait, the lower arrow is from 0 to 3, length +3, and the upper arrow is from 3 to -1, length -4? Wait, no, the number line has 0,1,2,3. The lower arrow starts at 0, ends at 3: that's +3. The upper arrow starts at 3, ends at -1: that's a movement of -4. Wait, no, maybe the initial position? Wait, maybe the first movement is -4 (from some point) and then +3? Wait, no, the problem says "an addition expression represented by the number line". So probably, the first movement is -4 (backward) and then +3? Wait, no, looking at the number line: the lower arrow is from 0 to 3 (so +3), and the upper arrow is from 3 to -1 (so -4). Wait, but maybe the starting point is 3? No, maybe the first arrow is -4 (from 3 to -1) and then +3 (from -1 to 2? No, the number line is 0,1,2,3. Wait, maybe the initial position is 3, then move -4 (to -1), but the lower arrow is from 0 to 3 (so +3). Wait, maybe the expression is (-4) + 3? Wait, let's check: -4 + 3 = -1. Let's see the number line: the upper arrow is length -4 (from 3 to -1), the lower arrow is length +3 (from 0 to 3). Wait, maybe the starting point is 0? No, the upper arrow starts at 3, ends at -1 (so -4), the lower arrow starts at 0, ends at 3 (so +3). So the addition expression is (-4) + 3? Wait, no, maybe the first movement is +3 (from 0 to 3) and then -4 (from 3 to -1). So the expression is 3 + (-4) or (-4) + 3. Then the sum is -1.

Step2: Calculate the sum

So the expression is \( 3 + (-4) \) (or \( -4 + 3 \)). Then \( 3 + (-4) = 3 - 4 = -1 \).

Step1: Analyze the number line movements

The lower arrow is from -2 to 0? Wait, no, the number line has -2, -1, 0,1,2,3. The lower arrow (backward) is from -2 to 0? No, the lower arrow is length -2 (from -2 to 0? Wait, no, the lower arrow is from -2 to 0? Wait, the upper arrow is from -2 to 2 (length +4), and the lower arrow is from -2 to 0 (length -2? No, the lower arrow is from -2 to 0? Wait, the number line: the upper arrow is from -2 to 2 (so +4), the lower arrow is from -2 to 0 (so +2? No, the arrow is backward, so -2. Wait, the lower arrow is from -2 to 0? No, the arrow is pointing left, so from -2 to 0? No, left arrow from -2 to 0 would be +2, but the label is -2. Wait, maybe the lower arrow is from 0 to -2 (so -2), and the upper arrow is from -2 to 2 (so +4). So the addition expression is (-2) + 4. Then the sum is 2.

Step2: Calculate the sum

So the expression is \( -2 + 4 \) (or \( 4 + (-2) \)). Then \( -2 + 4 = 2 \).

Answer:

An expression is \( 3 + (-4) \) (or \( -4 + 3 \))
The sum is \( -1 \)

Problem 2