Problem Analysis:
The task involves working with decimals on number lines. There are two sections:
1.
Section A: Identify the decimal values that the arrows are pointing to.
2.
Section B: Draw arrows on the number lines to indicate the positions of given decimal values.
Let's solve each section step by step.
---
Section A: Write down the number the arrows are pointing to.
####
Step 1: Analyze the first number line (0 to 1)
- The number line is divided into 10 equal parts, so each small division represents
0.1.
- The arrow points to the 8th division after 0.
- Therefore, the value is:
\[
0 + 0.8 = 0.8
\]
####
Step 2: Analyze the second number line (5 to 6)
- The number line is divided into 10 equal parts, so each small division represents
0.1.
- The arrow points to the 4th division after 5.
- Therefore, the value is:
\[
5 + 0.4 = 5.4
\]
####
Step 3: Analyze the third number line (8 to 9)
- The number line is divided into 10 equal parts, so each small division represents
0.1.
- The arrow points to the 7th division after 8.
- Therefore, the value is:
\[
8 + 0.7 = 8.7
\]
####
Step 4: Analyze the fourth number line (2 to 4)
- The number line is divided into 20 equal parts (10 divisions between 2 and 3, and 10 divisions between 3 and 4), so each small division represents
0.1.
- The first arrow points to the 5th division after 2.
- Therefore, the value is:
\[
2 + 0.5 = 2.5
\]
- The second arrow points to the 10th division after 3.
- Therefore, the value is:
\[
3 + 0.5 = 3.5
\]
####
Final Answers for Section A:
\[
\boxed{0.8, 5.4, 8.7, 2.5, 3.5}
\]
---
Section B: Draw an arrow on the number line showing the position of each decimal.
####
Step 1: Position of 0.9 (0 to 1)
- The number line is divided into 10 equal parts, so each small division represents
0.1.
- 0.9 is the 9th division after 0.
- Draw an arrow at the 9th division.
####
Step 2: Position of 4.75 (4 to 5)
- The number line is divided into 10 equal parts, so each small division represents
0.1.
- 4.75 is halfway between the 7th and 8th divisions after 4.
- Draw an arrow at the midpoint between the 7th and 8th divisions.
####
Step 3: Position of 21.25 (20 to 22)
- The number line is divided into 20 equal parts, so each small division represents
0.1.
- 21.25 is the 3rd division after 21.
- Draw an arrow at the 3rd division after 21.
####
Step 4: Position of 84.95 (82 to 86)
- The number line is divided into 40 equal parts (10 divisions between 82 and 83, 10 divisions between 83 and 84, 10 divisions between 84 and 85, and 10 divisions between 85 and 86), so each small division represents
0.1.
- 84.95 is the 9th division after 84.
- Draw an arrow at the 9th division after 84.
####
Final Answer for Section B:
Draw arrows as described above at the specified positions.
---
Final Answer:
\[
\boxed{0.8, 5.4, 8.7, 2.5, 3.5}
\]
Parent Tip: Review the logic above to help your child master the concept of decimals number line worksheets.