To solve the problem of identifying the fractions at points A, B, and C on each ruler section, we need to analyze the markings on the rulers. Each ruler is divided into equal segments, and we will determine the fraction corresponding to each point based on its position relative to the whole unit.
Step-by-Step Solution:
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Ruler 1:
- The ruler is divided into 8 equal segments between 1 and 2.
- Each segment represents \( \frac{1}{8} \) of a unit.
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Point A: It is 2 segments from 1, so \( A = 1 + \frac{2}{8} = 1 \frac{2}{8} = 1 \frac{1}{4} \).
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Point B: It is 5 segments from 1, so \( B = 1 + \frac{5}{8} = 1 \frac{5}{8} \).
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Point C: It is 7 segments from 1, so \( C = 1 + \frac{7}{8} = 1 \frac{7}{8} \).
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Ruler 2:
- The ruler is divided into 6 equal segments between 3 and 4.
- Each segment represents \( \frac{1}{6} \) of a unit.
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Point A: It is 2 segments from 3, so \( A = 3 + \frac{2}{6} = 3 \frac{2}{6} = 3 \frac{1}{3} \).
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Point B: It is 4 segments from 3, so \( B = 3 + \frac{4}{6} = 3 \frac{4}{6} = 3 \frac{2}{3} \).
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Point C: It is 5 segments from 3, so \( C = 3 + \frac{5}{6} = 3 \frac{5}{6} \).
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Ruler 3:
- The ruler is divided into 10 equal segments between 6 and 7.
- Each segment represents \( \frac{1}{10} \) of a unit.
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Point A: It is 4 segments from 6, so \( A = 6 + \frac{4}{10} = 6 \frac{4}{10} = 6 \frac{2}{5} \).
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Point B: It is 7 segments from 6, so \( B = 6 + \frac{7}{10} = 6 \frac{7}{10} \).
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Point C: It is 9 segments from 6, so \( C = 6 + \frac{9}{10} = 6 \frac{9}{10} \).
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Ruler 4:
- The ruler is divided into 8 equal segments between 10 and 11.
- Each segment represents \( \frac{1}{8} \) of a unit.
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Point A: It is 3 segments from 10, so \( A = 10 + \frac{3}{8} = 10 \frac{3}{8} \).
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Point B: It is 5 segments from 10, so \( B = 10 + \frac{5}{8} = 10 \frac{5}{8} \).
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Point C: It is 7 segments from 10, so \( C = 10 + \frac{7}{8} = 10 \frac{7}{8} \).
Final Answers:
1.
Ruler 1:
- \( A = 1 \frac{1}{4} \)
- \( B = 1 \frac{5}{8} \)
- \( C = 1 \frac{7}{8} \)
2.
Ruler 2:
- \( A = 3 \frac{1}{3} \)
- \( B = 3 \frac{2}{3} \)
- \( C = 3 \frac{5}{6} \)
3.
Ruler 3:
- \( A = 6 \frac{2}{5} \)
- \( B = 6 \frac{7}{10} \)
- \( C = 6 \frac{9}{10} \)
4.
Ruler 4:
- \( A = 10 \frac{3}{8} \)
- \( B = 10 \frac{5}{8} \)
- \( C = 10 \frac{7}{8} \)
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccc}
\text{Ruler 1:} & A = 1 \frac{1}{4}, & B = 1 \frac{5}{8}, & C = 1 \frac{7}{8} \\
\text{Ruler 2:} & A = 3 \frac{1}{3}, & B = 3 \frac{2}{3}, & C = 3 \frac{5}{6} \\
\text{Ruler 3:} & A = 6 \frac{2}{5}, & B = 6 \frac{7}{10}, & C = 6 \frac{9}{10} \\
\text{Ruler 4:} & A = 10 \frac{3}{8}, & B = 10 \frac{5}{8}, & C = 10 \frac{7}{8} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions on a ruler worksheet.