Decimals on Number Lines worksheet for practicing decimal placement on number lines.

Problem Explanation and Solution

The worksheet focuses on understanding decimals and their placement on number lines. Let's break it down into Section A and Section B.

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#### Section A: Write down the number the arrows are pointing to.

In this section, we need to identify the decimal values that the arrows are pointing to on the given number lines.

1. First Number Line (0 to 1):
- The arrow points to a position between 0.8 and 0.9.
- Since the number line is divided into 10 equal parts between 0 and 1, each small division represents 0.1.
- The arrow is pointing to the 9th division after 0.
- Therefore, the number is 0.9.

2. Second Number Line (5 to 6):
- The arrow points to a position between 5.4 and 5.5.
- Each small division represents 0.1.
- The arrow is pointing to the 4th division after 5.
- Therefore, the number is 5.4.

3. Third Number Line (8 to 9):
- The arrow points to a position between 8.2 and 8.3.
- Each small division represents 0.1.
- The arrow is pointing to the 2nd division after 8.
- Therefore, the number is 8.2.

4. Fourth Number Line (9 to 10):
- The arrow points to a position between 9.7 and 9.8.
- Each small division represents 0.1.
- The arrow is pointing to the 7th division after 9.
- Therefore, the number is 9.7.

5. Fifth Number Line (2 to 4):
- The arrow points to a position between 2.6 and 2.7.
- Each small division represents 0.1.
- The arrow is pointing to the 6th division after 2.
- Therefore, the number is 2.6.

6. Sixth Number Line (3 to 4):
- The arrow points to a position between 3.4 and 3.5.
- Each small division represents 0.1.
- The arrow is pointing to the 4th division after 3.
- Therefore, the number is 3.4.

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#### Section B: Draw an arrow on the number line showing the position of each decimal.

In this section, we need to draw arrows on the provided number lines to indicate the positions of the given decimal numbers.

1. First Number Line (0 to 1):
- Decimal: 0.9
- The number line is divided into 10 equal parts between 0 and 1.
- Place the arrow at the 9th division after 0.

2. Second Number Line (4 to 5):
- Decimal: 4.75
- The number line is divided into 10 equal parts between 4 and 5.
- Each small division represents 0.1, and there are 10 divisions in total.
- To locate 4.75, go to the 7th division after 4 (which is 4.7) and then halfway to the next division (since 0.75 is halfway between 0.7 and 0.8).
- Place the arrow halfway between the 7th and 8th divisions after 4.

3. Third Number Line (20 to 22):
- Decimal: 21.25
- The number line is divided into 10 equal parts between 20 and 22.
- Each small division represents 0.2.
- To locate 21.25, go to the 1st division after 21 (which is 21.2) and then halfway to the next division (since 0.25 is halfway between 0.2 and 0.4).
- Place the arrow halfway between the 1st and 2nd divisions after 21.

4. Fourth Number Line (82 to 86):
- Decimal: 84.95
- The number line is divided into 10 equal parts between 82 and 86.
- Each small division represents 0.4.
- To locate 84.95, go to the 24th division after 82 (since 84.95 is 24.95 units from 82, and each division is 0.4).
- Place the arrow just before the 25th division after 82 (since 84.95 is very close to but not quite 85).

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Final Answers:

#### Section A:
1. 0.9
2. 5.4
3. 8.2
4. 9.7
5. 2.6
6. 3.4

#### Section B:
- Draw arrows as described above for:
1. 0.9 on the first number line.
2. 4.75 on the second number line.
3. 21.25 on the third number line.
4. 84.95 on the fourth number line.

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Boxed Final Answer:

\[
\boxed{0.9, 5.4, 8.2, 9.7, 2.6, 3.4}
\]