Let's solve the problem shown in the image step by step.
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🔍 Understanding the Image
This is an educational worksheet titled
"ARRAY ACTIVITIES starting with multiplication". It uses
arrays (grids of squares) to teach multiplication concepts. Each colored block represents a group of squares arranged in rows and columns.
We are asked to solve:
>
3 × 2 × □ = ?
And there’s a visual array showing three different colored sections: yellow, green, and pink.
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🧩 Step 1: Analyze the Array
The array at the bottom right has:
- A
yellow section: 3 rows × 2 columns → 6 squares
- A
green section: 3 rows × 2 columns → 6 squares
- A
pink section: 3 rows × 2 columns → 6 squares
So each color represents a
3×2 array.
That means the entire grid is made up of
three such 3×2 arrays.
So total number of squares:
- 3 × 2 = 6 per section
- 3 sections → 3 × 6 = 18 squares
But we can also write this as:
>
3 × 2 × 3 = 18
Because:
- 3 rows
- 2 columns per segment
- 3 segments (colors)
So the missing number in:
>
3 × 2 × □ = ?
is
3.
✔ So:
>
3 × 2 × 3 = 18
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✔ Final Answer:
>
3 × 2 × 3 = 18
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💡 Explanation:
This activity helps students understand:
-
Multiplication as repeated addition
-
Arrays as visual models for multiplication
-
Associative property: 3 × 2 × 3 = (3 × 2) × 3 = 6 × 3 = 18
Also notice other examples in the image:
- Orange: 3×4 = 12 → 12 squares
- Blue: 3 groups of 4 → 4+4+4 = 12
- Pink: 4 groups of 3 → 3+3+3+3 = 12
All represent different ways to express
12, reinforcing that multiplication can be viewed in multiple ways.
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🟩 Final Answer:
>
3 × 2 × 3 = 18
> The missing number is
3.
Parent Tip: Review the logic above to help your child master the concept of multiplication math arrays.
