Problem: Comparing Lengths of Pencils
The task involves measuring the lengths of five pencils (A, B, C, D, and E) using a ruler and answering questions based on their lengths. Below is the step-by-step solution:
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Step 1: Measure Each Pencil
Using the ruler provided in the image, measure the length of each pencil and record the measurements.
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Pencil A: Starts at 0 inches and ends at 8 inches.
Length of Pencil A = 8 inches
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Pencil B: Starts at 2 inches and ends at 4 inches.
Length of Pencil B = 4 - 2 = 2 inches
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Pencil C: Starts at 0 inches and ends at 9 inches.
Length of Pencil C = 9 inches
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Pencil D: Starts at 3 inches and ends at 7 inches.
Length of Pencil D = 7 - 3 = 4 inches
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Pencil E: Starts at 6 inches and ends at 10 inches.
Length of Pencil E = 10 - 6 = 4 inches
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Step 2: Answer the Questions
1.
Which pencil is the longest?
- Compare the lengths:
- Pencil A: 8 inches
- Pencil B: 2 inches
- Pencil C: 9 inches
- Pencil D: 4 inches
- Pencil E: 4 inches
- The longest pencil is
Pencil C with a length of 9 inches.
Answer: Pencil C
2.
Which pencil is the shortest?
- Compare the lengths again:
- Pencil A: 8 inches
- Pencil B: 2 inches
- Pencil C: 9 inches
- Pencil D: 4 inches
- Pencil E: 4 inches
- The shortest pencil is
Pencil B with a length of 2 inches.
Answer: Pencil B
3.
How much longer is Pencil A than Pencil E?
- Length of Pencil A = 8 inches
- Length of Pencil E = 4 inches
- Difference = 8 - 4 = 4 inches
Answer: 4 inches
4.
How much shorter is Pencil B than Pencil C?
- Length of Pencil B = 2 inches
- Length of Pencil C = 9 inches
- Difference = 9 - 2 = 7 inches
Answer: 7 inches
5.
How many inches are Pencil D and Pencil E combined?
- Length of Pencil D = 4 inches
- Length of Pencil E = 4 inches
- Combined length = 4 + 4 = 8 inches
Answer: 8 inches
6.
Is Pencil A or Pencil C longer? Explain how you know.
- Length of Pencil A = 8 inches
- Length of Pencil C = 9 inches
- Since 9 inches > 8 inches, Pencil C is longer.
Answer: Pencil C is longer because its length (9 inches) is greater than the length of Pencil A (8 inches).
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Final Answers:
1.
Pencil C
2.
Pencil B
3.
4 inches
4.
7 inches
5.
8 inches
6.
Pencil C is longer because its length (9 inches) is greater than the length of Pencil A (8 inches).
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
1. \text{Pencil C} \\
2. \text{Pencil B} \\
3. 4 \text{ inches} \\
4. 7 \text{ inches} \\
5. 8 \text{ inches} \\
6. \text{Pencil C is longer because its length (9 inches) is greater than the length of Pencil A (8 inches).}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of measurement worksheet 2nd grade.
