Problem: Estimating Fractions on Number Lines
The task involves identifying or marking specific fractions on given number lines. Below is a detailed explanation and solution for each part of the worksheet.
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1. Which letter shows $\frac{3}{4}$?
- The number line is divided into quarters (four equal parts between 0 and 1).
- $\frac{3}{4}$ means three out of four parts from 0.
- The letter
C is at the third quarter mark.
Answer: C
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2. Which letter shows $\frac{1}{2}$?
- The number line is divided into halves (two equal parts between 0 and 1).
- $\frac{1}{2}$ is exactly halfway between 0 and 1.
- The letter
E is at the midpoint.
Answer: E
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3. Which letter shows $\frac{7}{9}$?
- The number line is divided into ninths (nine equal parts between 0 and 1).
- $\frac{7}{9}$ means seven out of nine parts from 0.
- The letter
I is at the seventh ninth mark.
Answer: I
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4. Which letter shows $\frac{1}{2}$?
- The number line is divided into halves (two equal parts between 0 and 1).
- $\frac{1}{2}$ is exactly halfway between 0 and 1.
- The letter
K is at the midpoint.
Answer: K
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5. Which letter shows $\frac{2}{3}$?
- The number line is divided into thirds (three equal parts between 0 and 1).
- $\frac{2}{3}$ means two out of three parts from 0.
- The letter
N is at the second third mark.
Answer: N
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6. Which letter shows $\frac{3}{4}$?
- The number line is divided into quarters (four equal parts between 0 and 1).
- $\frac{3}{4}$ means three out of four parts from 0.
- The letter
Q is at the third quarter mark.
Answer: Q
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7. Mark $\frac{5}{8}$ on the number line. Label this point S.
- The number line is divided into eighths (eight equal parts between 0 and 1).
- $\frac{5}{8}$ means five out of eight parts from 0.
- Place a point at the fifth eighth mark and label it
S.
Answer: Mark the point at the fifth eighth mark and label it S.
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8. Mark $\frac{1}{3}$ on the number line. Label this point T.
- The number line is divided into thirds (three equal parts between 0 and 1).
- $\frac{1}{3}$ means one out of three parts from 0.
- Place a point at the first third mark and label it
T.
Answer: Mark the point at the first third mark and label it T.
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Final Answers:
1.
C
2.
E
3.
I
4.
K
5.
N
6.
Q
7. Mark the point at the fifth eighth mark and label it
S.
8. Mark the point at the first third mark and label it
T.
Boxed Final Answer:
\[
\boxed{C, E, I, K, N, Q}
\]
Parent Tip: Review the logic above to help your child master the concept of mixed number line worksheet.
