Let's solve this step-by-step based on the visual representation of decimals in the image.
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Objective:
Order the boxes (A, B, C, D) from
least to greatest based on the
shaded amount in each grid. Each grid represents a decimal number visually using hundredths (100 squares = 1 whole).
We will analyze each question by estimating or calculating the shaded portion as a decimal and then order them.
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General Rule:
- Each grid has
100 small squares → 1 whole = 1.0
- Shaded squares represent a fraction of 1 → convert to decimal.
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Let’s go through each problem one by one.
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1)
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A: Only 1 square shaded → 0.01
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B: 25 squares shaded → 0.25
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C: 40 squares shaded → 0.40
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D: 60 squares shaded → 0.60
→ Order from least to greatest:
A, B, C, D
✔ Answer: A, B, C, D
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2)
-
A: 10 squares shaded → 0.10
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B: 30 squares shaded → 0.30
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C: 45 squares shaded → 0.45
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D: 90 squares shaded → 0.90
→ Order:
A, B, C, D
✔ Answer: A, B, C, D
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3)
-
A: 5 squares shaded → 0.05
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B: 20 squares shaded → 0.20
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C: 80 squares shaded → 0.80
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D: 70 squares shaded → 0.70
→ Order:
A, B, D, C
✔ Answer: A, B, D, C
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4)
-
A: 20 squares shaded → 0.20
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B: 10 squares shaded → 0.10
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C: 50 squares shaded → 0.50
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D: 40 squares shaded → 0.40
→ Order:
B, A, D, C
✔ Answer: B, A, D, C
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5)
-
A: 10 squares shaded → 0.10
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B: 30 squares shaded → 0.30
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C: 60 squares shaded → 0.60
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D: 50 squares shaded → 0.50
→ Order:
A, B, D, C
✔ Answer: A, B, D, C
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6)
-
A: 10 squares shaded → 0.10
-
B: 30 squares shaded → 0.30
-
C: 70 squares shaded → 0.70
-
D: 40 squares shaded → 0.40
→ Order:
A, B, D, C
✔ Answer: A, B, D, C
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7)
-
A: 20 squares shaded → 0.20
-
B: 30 squares shaded → 0.30
-
C: 60 squares shaded → 0.60
-
D: 40 squares shaded → 0.40
→ Order:
A, B, D, C
✔ Answer: A, B, D, C
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8)
-
A: 10 squares shaded → 0.10
-
B: 20 squares shaded → 0.20
-
C: 30 squares shaded → 0.30
-
D: 40 squares shaded → 0.40
→ Order:
A, B, C, D
✔ Answer: A, B, C, D
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✔ Final Answers:
| Question | Answer |
|--------|--------|
| 1 | A, B, C, D |
| 2 | A, B, C, D |
| 3 | A, B, D, C |
| 4 | B, A, D, C |
| 5 | A, B, D, C |
| 6 | A, B, D, C |
| 7 | A, B, D, C |
| 8 | A, B, C, D |
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Summary:
To solve these:
1. Count the number of shaded squares.
2. Divide by 100 to get the decimal value.
3. Compare decimals and order from smallest to largest.
This method works because each grid is divided into 100 equal parts, so shaded portions are directly proportional to hundredths.
Let me know if you'd like a visual explanation or help with any specific problem!
Parent Tip: Review the logic above to help your child master the concept of common core worksheet multiplying decimals using area model.