This is a math worksheet titled "Shape Multiplication," which asks students to multiply 4-digit numbers by 1-digit numbers. The numbers are placed inside various geometric shapes, and the task is to find the product of all numbers within each specific shape category (octagons, trapezoids, triangles, hexagons, circles, and squares).
I will solve this problem by identifying all the numbers in each shape category and calculating their products.
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Step 1: Identify and calculate the product for the octagons.
Looking at the image, I can see two octagons:
- One contains the number
2,308.
- The other contains the number
6,789.
The instruction is to find the product of the numbers in the octagons. So, I need to multiply these two numbers together.
Calculation:
2,308 × 6,789
Let me perform this multiplication.
2,308 × 6,789 = ?
Breaking it down:
2,308 × 6,000 = 13,848,000
2,308 × 700 = 1,615,600
2,308 × 80 = 184,640
2,308 × 9 = 20,772
Adding them up:
13,848,000 + 1,615,600 = 15,463,600
15,463,600 + 184,640 = 15,648,240
15,648,240 + 20,772 = 15,669,012
So, the product for the octagons is
15,669,012.
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Step 2: Identify and calculate the product for the trapezoids.
There are two trapezoids in the image:
- One contains
7,018.
- The other contains
8,007.
I need to multiply these two numbers.
Calculation:
7,018 × 8,007
Breaking it down:
7,018 × 8,000 = 56,144,000
7,018 × 7 = 49,126
Adding them up:
56,144,000 + 49,126 = 56,193,126
So, the product for the trapezoids is
56,193,126.
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Step 3: Identify and calculate the product for the triangles.
There are two triangles:
- One contains
9.
- The other contains
5,619.
Multiplying these:
9 × 5,619 = 50,571
So, the product for the triangles is
50,571.
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Step 4: Identify and calculate the product for the hexagons.
There are two hexagons:
- One contains
7,483.
- The other contains
6.
Multiplying these:
7,483 × 6 = 44,898
So, the product for the hexagons is
44,898.
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Step 5: Identify and calculate the product for the circles.
There are two circles:
- One contains
3.
- The other contains
8.
Multiplying these:
3 × 8 = 24
So, the product for the circles is
24.
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Step 6: Identify and calculate the product for the squares.
There are two squares:
- One contains
4.
- The other contains
3.
Multiplying these:
4 × 3 = 12
So, the product for the squares is
12.
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Final Answer:
Here are the products for each shape category as requested:
-
Octagons (2,308 × 6,789): 15,669,012
-
Trapezoids (7,018 × 8,007): 56,193,126
-
Triangles (9 × 5,619): 50,571
-
Hexagons (7,483 × 6): 44,898
-
Circles (3 × 8): 24
-
Squares (4 × 3): 12
These are the solutions to the "Shape Multiplication" worksheet.
Parent Tip: Review the logic above to help your child master the concept of super teacher worksheet multiplication.