Question

5 which model represents the expression $36 \div 4$? a image of model a b image of model b c image of model c d image of model d

Explanation:

To determine which model represents \(36 \div 4\), we analyze each option:

Step 1: Analyze Option A

Count the dots. The first rectangle has \(4 \times 9 = 36\)? No, wait, let's count rows. Wait, \(36 \div 4 = 9\), so we need a model that shows 36 items divided into 4 groups (or 4 rows/columns with 9 each). Wait, Option A: The first rectangle has 4 rows (let's check rows: 4 rows, 9 columns? Wait, no, the first rectangle: let's count dots. 4 rows, 9 columns? Wait, 4 rows × 9 columns = 36? Wait, no, the first rectangle: 4 rows, 9 columns? Wait, 4×9=36? Wait, no, the first rectangle: 4 rows, 9 columns? Wait, 4×9=36? Wait, no, the first rectangle: 4 rows (each row has 9 dots: 9×4=36), and then an extra 4 dots? No, that's not division.

Step 2: Analyze Option B

Wait, Option B: Let's see, the rectangle has 4 rows? Wait, no, maybe columns. Wait, no, let's check Option D. Wait, Option D: 4 rows, 9 columns? Wait, 4×9=36. Wait, \(36 \div 4 = 9\), so we need a model where 36 is divided into 4 groups (rows) with 9 each, or 4 columns with 9 each. Wait, Option D: 4 rows, each row has 9 dots (since 4 rows × 9 columns = 36). Wait, no, let's count:

Wait, Option D: 4 rows, each row has 9 dots? Wait, 4 rows, 9 columns: 4×9=36. So \(36 \div 4 = 9\), meaning each of the 4 groups (rows) has 9. Let's check the models:

• Option A: First rectangle (36 dots?) and an extra 4 dots. No.
• Option B: A rectangle with 4 rows? Wait, no, maybe 9 columns and 4 rows? Wait, no, let's re-examine.
• Option C: 3 rows, 12 columns: 3×12=36. \(36 \div 3 = 12\), not 4.
• Option D: 4 rows, 9 columns: 4×9=36. So dividing 36 into 4 rows (groups) with 9 each, which is \(36 \div 4 = 9\). So Option D shows 4 rows (groups) with 9 dots each, representing \(36 \div 4\) (since total is 36, divided into 4 groups, each with 9).

Wait, maybe I made a mistake. Wait, let's recheck:

\(36 \div 4 = 9\), so we need a model that has 4 equal groups (rows or columns) with 9 elements each.

Option D: 4 rows, each row has 9 dots (let's count: 4 rows, 9 columns: 4×9=36). So each row is a group of 9, and there are 4 groups (rows), so total 36. So that's \(36 \div 4 = 9\) (each group has 9).

Yes, Option D represents 36 divided into 4 groups (rows) with 9 each, so it's the model for \(36 \div 4\).

Answer:

D. Option D (the model with 4 rows, each containing 9 dots, representing \(36 \div 4 = 9\))