Problem Description:
The task involves completing multiplication pyramids. Each pyramid consists of circles, and the numbers in the bottom row are given. The goal is to fill in the circles above by multiplying the two numbers directly below each circle.
Solution Approach:
1.
Understand the Pyramid Structure:
- Each circle in the pyramid is filled by multiplying the two numbers directly below it.
- Start from the bottom row and work your way up to the top.
2.
Steps to Solve:
- For each pyramid, take the numbers in the bottom row.
- Multiply the first two numbers to fill the circle above them.
- Repeat this process for all pairs of numbers moving upwards until you reach the top of the pyramid.
3.
Apply the Process to Each Pyramid:
Let's solve each pyramid step by step.
---
Pyramid 1:
#### Bottom Row: \( 2, 3, 2 \)
- Second Row:
- First Circle: \( 2 \times 3 = 6 \)
- Second Circle: \( 3 \times 2 = 6 \)
- Top Circle:
- \( 6 \times 6 = 36 \)
#### Filled Pyramid:
```
36
/ \
6 6
/ \ / \
2 3 3 2
```
---
Pyramid 2:
#### Bottom Row: \( 4, 3, 1 \)
- Second Row:
- First Circle: \( 4 \times 3 = 12 \)
- Second Circle: \( 3 \times 1 = 3 \)
- Top Circle:
- \( 12 \times 3 = 36 \)
#### Filled Pyramid:
```
36
/ \
12 3
/ \ / \
4 3 3 1
```
---
Pyramid 3:
#### Bottom Row: \( 4, 2, 5 \)
- Second Row:
- First Circle: \( 4 \times 2 = 8 \)
- Second Circle: \( 2 \times 5 = 10 \)
- Top Circle:
- \( 8 \times 10 = 80 \)
#### Filled Pyramid:
```
80
/ \
8 10
/ \ / \
4 2 2 5
```
---
Pyramid 4:
#### Bottom Row: \( 2, 2, 3 \)
- Second Row:
- First Circle: \( 2 \times 2 = 4 \)
- Second Circle: \( 2 \times 3 = 6 \)
- Top Circle:
- \( 4 \times 6 = 24 \)
#### Filled Pyramid:
```
24
/ \
4 6
/ \ / \
2 2 2 3
```
---
Pyramid 5:
#### Bottom Row: \( 2, 2, 4 \)
- Second Row:
- First Circle: \( 2 \times 2 = 4 \)
- Second Circle: \( 2 \times 4 = 8 \)
- Top Circle:
- \( 4 \times 8 = 32 \)
#### Filled Pyramid:
```
32
/ \
4 8
/ \ / \
2 2 2 4
```
---
Pyramid 6:
#### Bottom Row: \( 3, 2, 1 \)
- Second Row:
- First Circle: \( 3 \times 2 = 6 \)
- Second Circle: \( 2 \times 1 = 2 \)
- Top Circle:
- \( 6 \times 2 = 12 \)
#### Filled Pyramid:
```
12
/ \
6 2
/ \ / \
3 2 2 1
```
---
Final Answer:
The completed pyramids are as follows:
1.
```
36
/ \
6 6
/ \ / \
2 3 3 2
```
2.
```
36
/ \
12 3
/ \ / \
4 3 3 1
```
3.
```
80
/ \
8 10
/ \ / \
4 2 2 5
```
4.
```
24
/ \
4 6
/ \ / \
2 2 2 3
```
5.
```
32
/ \
4 8
/ \ / \
2 2 2 4
```
6.
```
12
/ \
6 2
/ \ / \
3 2 2 1
```
Thus, the final answer is:
\[
\boxed{36, 36, 80, 24, 32, 12}
\]
Parent Tip: Review the logic above to help your child master the concept of grade 3 math activities.