Worksheets for practicing negative fractions on a number line, featuring exercises and a green eco-friendly label.

Let’s solve each problem step by step.

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Problem 1: Place -2/4, -3/4, -1/4 on the number line from -1 to 0.

The number line goes from -1 (left) to 0 (right). We need to divide this into 4 equal parts because all fractions have denominator 4.

So, between -1 and 0, we mark:
- First tick (closest to -1): -3/4
- Second tick: -2/4 (which is also -1/2)
- Third tick: -1/4
- Fourth tick: 0

Wait — let’s think carefully.

Actually, if we go from -1 to 0 in fourths:

- At -1 = -4/4
- Then next mark: -3/4
- Then: -2/4
- Then: -1/4
- Then: 0 = 0/4

So the three fractions given are:
- -2/4 → second mark from left (after -1)
- -3/4 → first mark after -1
- -1/4 → third mark after -1 (just before 0)

So order from left to right:
-3/4, -2/4, -1/4

That matches the instruction: put them in correct position.

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Problem 2: Place -5/8, -1/8, -4/8, -3/8 on the number line from -1 to 0.

Denominator is 8, so divide the space from -1 to 0 into 8 equal parts.

-1 = -8/8
Then:
- -7/8
- -6/8
- -5/8 ← our first fraction
- -4/8 ← our second
- -3/8 ← our third
- -2/8
- -1/8 ← our fourth
- 0

So placing them in order from left to right (smallest to largest):

-5/8 is at position 3 from left (since -8/8, -7/8, -6/8, then -5/8)
But actually, let's list the positions:

Position 0: -8/8 = -1
Position 1: -7/8
Position 2: -6/8
Position 3: -5/8 ← place here
Position 4: -4/8 ← place here
Position 5: -3/8 ← place here
Position 6: -2/8
Position 7: -1/8 ← place here
Position 8: 0

So the four fractions go at positions 3, 4, 5, and 7.

Order from left to right:
-5/8, -4/8, -3/8, -1/8

Note: -4/8 simplifies to -1/2, but we keep as eighths for placement.

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Now, double-checking:

For Problem 1:
Fractions: -2/4, -3/4, -1/4
On a 4-part line from -1 to 0:
Left to right: -3/4, -2/4, -1/4 → Correct.

For Problem 2:
Fractions: -5/8, -1/8, -4/8, -3/8
Sorted: -5/8 < -4/8 < -3/8 < -1/8 → Yes, that’s correct order.

Final Answer:

1. From left to right on the number line: -3/4, -2/4, -1/4
2. From left to right on the number line: -5/8, -4/8, -3/8, -1/8