**Problem 19: Understanding Bar Models in Math**A student attempted to solve a problem using a bar model. Let's analyze the student's approach and correct it.**Task:**1. **Identify the Incorrect Bar Model:** The student drew a bar model for the following problem: - *There are 25,196 grains of rice in a large bag. There are 18,023 fewer grains of rice in a small bag. How many grains of rice are in the small bag?*2. **Explanation of the Incorrect Model:** The student drew a bar with two sections: - The total, indicated as 25,196, represents the grains of rice in the large bag. - One section is labeled 18,023, which represents the difference in grains between the two bags. - The section labeled with a question mark is meant to represent the unknown number of grains in the small bag. The error in the model is that it suggests the sum of the two sections equals the total in the large bag, which misconstrues the nature of the comparison in the problem (it should show subtraction, not addition).3. **Draw the Correct Bar Model:** To correct the error, the model should show a single bar for the large bag (25,196), with a smaller section subtracted (18,023) to find the remaining section (the unknown).4. **Solve the Problem:** Using subtraction, determine the number of grains in the small bag: \[ \text{Number of grains in the small bag} = 25,196 - 18,023 = 7,173 \] Thus, the small bag contains 7,173 grains of rice.**Graphical Representation:**- A single bar labeled 25,196 with a segment of 18,023 subtracted to find the unknown (7,173).

19) A student drew the following bar model to solve the problem below. (i) Explain why their bar model is incorrect (ii) Draw the correct bar model with labels (iii) Solve the problem There are 25,196 grains of rice in a large bag. There are 18,023 less grains of rice in a small bag. How many grains of rice are in the small bag? 25,196 ? 18,023

19) A student drew the following bar model to solve the problem below. (i) Explain why their bar model is incorrect (ii) Draw the correct bar model with labels (iii) Solve the problem There are 25,196 grains of rice in a large bag. There are 18,023 less grains of rice in a small bag. How many grains of rice are in the small bag? 25,196 ? 18,023

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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