Rounding decimals to the nearest tenth worksheet with numbers and shapes to color.
Worksheet titled "Rounding Decimals to the Nearest Tenth" with exercises for rounding decimal numbers and coloring shapes based on rounding results.
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Step-by-step solution for: Rounding Decimals - Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Decimals - Worksheets
Let's solve the problem step by step.
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We need to round the following numbers to the nearest tenth (i.e., one decimal place).
To round to the nearest tenth:
- Look at the hundredths place (the second digit after the decimal).
- If it is 5 or greater, round up.
- If it is less than 5, round down.
#### Numbers to round:
1. 3.14
- Hundredths digit: 4 → less than 5 → round down
- 3.1
2. 3.85
- Hundredths digit: 5 → round up
- 3.9
3. 7.51
- Hundredths digit: 1 → less than 5 → round down
- 7.5
4. 8.16
- Hundredths digit: 6 → round up
- 8.2
5. 9.03
- Hundredths digit: 3 → less than 5 → round down
- 9.0
6. 3.65
- Hundredths digit: 5 → round up
- 3.7
✔ Answers for Part 1:
- 3.14 → 3.1
- 3.85 → 3.9
- 7.51 → 7.5
- 8.16 → 8.2
- 9.03 → 9.0
- 3.65 → 3.7
---
Now, look at each shape with a number and:
- Round it to the nearest tenth.
- If it rounds to 3.2, color red.
- If it rounds to 3.3, color blue.
- If it rounds to 3.0, color green.
Let’s go through each shape:
1. Triangle: 2.97
- Hundredths digit: 7 → round up
- 2.97 → 3.0 → ✔ Green
2. Square: 3.28
- Hundredths digit: 8 → round up
- 3.28 → 3.3 → ✔ Blue
3. Hexagon: 3.27
- Hundredths digit: 7 → round up
- 3.27 → 3.3 → ✔ Blue
4. Circle: 3.15
- Hundredths digit: 5 → round up
- 3.15 → 3.2 → ✔ Red
5. Octagon: 2.87
- Hundredths digit: 7 → round up
- 2.87 → 2.9 → ✘ Not 3.0, 3.2, or 3.3 → No color
6. Parallelogram: 3.13
- Hundredths digit: 3 → less than 5 → round down
- 3.13 → 3.1 → ✘ Not 3.0, 3.2, or 3.3 → No color
7. Oval: 3.07
- Hundredths digit: 7 → round up
- 3.07 → 3.1 → ✘ No color
8. Rectangle: 3.01
- Hundredths digit: 1 → round down
- 3.01 → 3.0 → ✔ Green
9. Star: 3.04
- Hundredths digit: 4 → round down
- 3.04 → 3.0 → ✔ Green
10. Diamond: 3.22
- Hundredths digit: 2 → less than 5 → round down
- 3.22 → 3.2 → ✔ Red
11. Square: 2.92
- Hundredths digit: 2 → round down
- 2.92 → 2.9 → ✘ No color
12. Rhombus: 3.24
- Hundredths digit: 4 → round down
- 3.24 → 3.2 → ✔ Red
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| Shape | Number | Rounded | Color |
|-------|--------|---------|-------|
| Triangle | 2.97 | 3.0 | Green |
| Square | 3.28 | 3.3 | Blue |
| Hexagon | 3.27 | 3.3 | Blue |
| Circle | 3.15 | 3.2 | Red |
| Octagon | 2.87 | 2.9 | ✘ No color |
| Parallelogram | 3.13 | 3.1 | ✘ No color |
| Oval | 3.07 | 3.1 | ✘ No color |
| Rectangle | 3.01 | 3.0 | Green |
| Star | 3.04 | 3.0 | Green |
| Diamond | 3.22 | 3.2 | Red |
| Square | 2.92 | 2.9 | ✘ No color |
| Rhombus | 3.24 | 3.2 | Red |
---
#### Part 1: Rounding Numbers
- 3.14 → 3.1
- 3.85 → 3.9
- 7.51 → 7.5
- 8.16 → 8.2
- 9.03 → 9.0
- 3.65 → 3.7
#### Part 2: Shapes
- Color red: 3.15 (circle), 3.22 (diamond), 3.24 (rhombus)
- Color blue: 3.28 (square), 3.27 (hexagon)
- Color green: 2.97 (triangle), 3.01 (rectangle), 3.04 (star)
- No color: 2.87, 3.13, 3.07, 2.92
> ✔ Note: Only shapes rounding to 3.0, 3.2, or 3.3 are colored.
Let me know if you'd like a printable version or visual guide!
---
Part 1: Round each number to the nearest tenth
We need to round the following numbers to the nearest tenth (i.e., one decimal place).
To round to the nearest tenth:
- Look at the hundredths place (the second digit after the decimal).
- If it is 5 or greater, round up.
- If it is less than 5, round down.
#### Numbers to round:
1. 3.14
- Hundredths digit: 4 → less than 5 → round down
- 3.1
2. 3.85
- Hundredths digit: 5 → round up
- 3.9
3. 7.51
- Hundredths digit: 1 → less than 5 → round down
- 7.5
4. 8.16
- Hundredths digit: 6 → round up
- 8.2
5. 9.03
- Hundredths digit: 3 → less than 5 → round down
- 9.0
6. 3.65
- Hundredths digit: 5 → round up
- 3.7
✔ Answers for Part 1:
- 3.14 → 3.1
- 3.85 → 3.9
- 7.51 → 7.5
- 8.16 → 8.2
- 9.03 → 9.0
- 3.65 → 3.7
---
Part 2: Round the numbers in the shapes and color them
Now, look at each shape with a number and:
- Round it to the nearest tenth.
- If it rounds to 3.2, color red.
- If it rounds to 3.3, color blue.
- If it rounds to 3.0, color green.
Let’s go through each shape:
1. Triangle: 2.97
- Hundredths digit: 7 → round up
- 2.97 → 3.0 → ✔ Green
2. Square: 3.28
- Hundredths digit: 8 → round up
- 3.28 → 3.3 → ✔ Blue
3. Hexagon: 3.27
- Hundredths digit: 7 → round up
- 3.27 → 3.3 → ✔ Blue
4. Circle: 3.15
- Hundredths digit: 5 → round up
- 3.15 → 3.2 → ✔ Red
5. Octagon: 2.87
- Hundredths digit: 7 → round up
- 2.87 → 2.9 → ✘ Not 3.0, 3.2, or 3.3 → No color
6. Parallelogram: 3.13
- Hundredths digit: 3 → less than 5 → round down
- 3.13 → 3.1 → ✘ Not 3.0, 3.2, or 3.3 → No color
7. Oval: 3.07
- Hundredths digit: 7 → round up
- 3.07 → 3.1 → ✘ No color
8. Rectangle: 3.01
- Hundredths digit: 1 → round down
- 3.01 → 3.0 → ✔ Green
9. Star: 3.04
- Hundredths digit: 4 → round down
- 3.04 → 3.0 → ✔ Green
10. Diamond: 3.22
- Hundredths digit: 2 → less than 5 → round down
- 3.22 → 3.2 → ✔ Red
11. Square: 2.92
- Hundredths digit: 2 → round down
- 2.92 → 2.9 → ✘ No color
12. Rhombus: 3.24
- Hundredths digit: 4 → round down
- 3.24 → 3.2 → ✔ Red
---
✔ Final Coloring Instructions:
| Shape | Number | Rounded | Color |
|-------|--------|---------|-------|
| Triangle | 2.97 | 3.0 | Green |
| Square | 3.28 | 3.3 | Blue |
| Hexagon | 3.27 | 3.3 | Blue |
| Circle | 3.15 | 3.2 | Red |
| Octagon | 2.87 | 2.9 | ✘ No color |
| Parallelogram | 3.13 | 3.1 | ✘ No color |
| Oval | 3.07 | 3.1 | ✘ No color |
| Rectangle | 3.01 | 3.0 | Green |
| Star | 3.04 | 3.0 | Green |
| Diamond | 3.22 | 3.2 | Red |
| Square | 2.92 | 2.9 | ✘ No color |
| Rhombus | 3.24 | 3.2 | Red |
---
🔚 Summary of Answers:
#### Part 1: Rounding Numbers
- 3.14 → 3.1
- 3.85 → 3.9
- 7.51 → 7.5
- 8.16 → 8.2
- 9.03 → 9.0
- 3.65 → 3.7
#### Part 2: Shapes
- Color red: 3.15 (circle), 3.22 (diamond), 3.24 (rhombus)
- Color blue: 3.28 (square), 3.27 (hexagon)
- Color green: 2.97 (triangle), 3.01 (rectangle), 3.04 (star)
- No color: 2.87, 3.13, 3.07, 2.92
> ✔ Note: Only shapes rounding to 3.0, 3.2, or 3.3 are colored.
Let me know if you'd like a printable version or visual guide!
Parent Tip: Review the logic above to help your child master the concept of free worksheet on rounding decimals.