Home Practice math worksheet featuring integer addition and subtraction problems.
A worksheet titled "Home Practice" with three rows of math problems involving positive and negative integers, arranged in a grid format with numbers and operations.
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Show Answer Key & Explanations
Step-by-step solution for: Abacus Questions For Level 4 Outlet | bsfsry.com
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Show Answer Key & Explanations
Step-by-step solution for: Abacus Questions For Level 4 Outlet | bsfsry.com
It looks like you've uploaded a worksheet titled "Home Practice" that contains three separate grids of numbers, each with 4 rows and 15 columns (columns labeled 1 through 15). Each grid has four rows of integers (positive, negative, or zero), and below each grid is an empty row, likely intended for answers.
However, the actual task or instruction (e.g., "find the sum of each column", "identify patterns", "solve for missing values", etc.) is not visible in the image. Without knowing what the problem is asking you to do, I can't solve it directly.
But I can help you analyze the structure and suggest common types of problems like this might involve. Here are some possibilities:
---
#### 1. Sum Each Column
You may be asked to compute the sum of each column across the 4 rows.
For example, for the first grid:
- Column 1: 7 + (-2) + (-4) + 4 = 5
- Column 2: 5 + 2 + (-4) + 3 = 6
- And so on...
We can calculate all column sums if needed.
#### 2. Find Patterns or Missing Numbers
Sometimes such grids have missing entries, but here all cells seem filled. Maybe the blank row below each grid is for writing totals or identifying something.
#### 3. Matrix Operations
Maybe you're supposed to perform operations like:
- Row sums
- Column sums
- Find maximum/minimum values
- Identify arithmetic sequences
- Determine if any rows/columns follow a pattern
#### 4. Identify a Hidden Message or Code
Sometimes number grids encode messages via letter positions (A=1, B=2, etc.), but this seems unlikely unless specified.
---
> "Calculate the sum of each column for each grid."
I’ll demonstrate how to do it for the first grid, and you can apply the same method to others.
---
| Col | Row1 | Row2 | Row3 | Row4 | Sum |
|-----|------|------|------|------|-----|
| 1 | 7 | -2 | -4 | 4 | 7 - 2 - 4 + 4 = 5 |
| 2 | 5 | 2 | -4 | 3 | 5 + 2 - 4 + 3 = 6 |
| 3 | 5 | -1 | 3 | -4 | 5 -1 +3 -4 = 3 |
| 4 | 3 | 4 | -4 | 1 | 3+4-4+1 = 4 |
| 5 | 7 | -2 | -4 | 6 | 7-2-4+6 = 7 |
| 6 | 5 | -4 | 4 | 2 | 5-4+4+2 = 7 |
| 7 | 2 | 4 | -2 | 1 | 2+4-2+1 = 5 |
| 8 | 1 | 6 | -4 | 3 | 1+6-4+3 = 6 |
| 9 | 8 | -3 | -3 | 4 | 8-3-3+4 = 6 |
|10 | 5 | -3 | 2 | 1 | 5-3+2+1 = 5 |
|11 | 9 | -7 | 5 | -3 | 9-7+5-3 = 4 |
|12 | 4 | 1 | -2 | 5 | 4+1-2+5 = 8 |
|13 | 9 | -4 | 1 | -5 | 9-4+1-5 = 1 |
|14 | 3 | 2 | -2 | 1 | 3+2-2+1 = 4 |
|15 | 5 | 2 | -3 | -3 | 5+2-3-3 = 1 |
✔ So, column sums for Grid 1:
[5, 6, 3, 4, 7, 7, 5, 6, 6, 5, 4, 8, 1, 4, 1]
---
Now let's do Grid 2:
| Col | R1 | R2 | R3 | R4 | Sum |
|-----|----|----|----|----|-----|
| 1 | 27 | -3 | 1 | -5 | 27-3+1-5 = 20 |
| 2 | 3 | 12 | -1 | 4 | 3+12-1+4 = 18 |
| 3 | 19 | -1 | -4 | 3 | 19-1-4+3 = 17 |
| 4 | 10 | 2 | 3 | 2 | 10+2+3+2 = 17 |
| 5 | 1 | 54 | -2 | 3 | 1+54-2+3 = 56 |
| 6 | 15 | 4 | -4 | -2 | 15+4-4-2 = 13 |
| 7 | 6 | -2 | 11 | -1 | 6-2+11-1 = 14 |
| 8 | 18 | -6 | 4 | -3 | 18-6+4-3 = 13 |
| 9 | 23 | 2 | -1 | 4 | 23+2-1+4 = 28 |
|10 | 47 | -5 | 4 | -3 | 47-5+4-3 = 43 |
|11 | 94 | 4 | -5 | 2 | 94+4-5+2 = 95 |
|12 | 40 | 3 | 4 | -3 | 40+3+4-3 = 44 |
|13 | 1 | 4 | -4 | 3 | 1+4-4+3 = 4 |
|14 | 55 | 2 | -3 | 1 | 55+2-3+1 = 55 |
|15 | 99 | -4 | -3 | 3 | 99-4-3+3 = 95 |
✔ Column sums for Grid 2:
[20, 18, 17, 17, 56, 13, 14, 13, 28, 43, 95, 44, 4, 55, 95]
---
| Col | R1 | R2 | R3 | R4 | Sum |
|-----|----|----|----|----|-----|
| 1 | 9 | 50 | -16| 6 | 9+50-16+6 = 49 |
| 2 | 3 | 64 | -40| 2 | 3+64-40+2 = 39 |
| 3 | 6 | 50 | -23| -3 | 6+50-23-3 = 30 |
| 4 | 59 | -4 | -1 | 5 | 59-4-1+5 = 59 |
| 5 | 1 | 34 | 40 | -5 | 1+34+40-5 = 70 |
| 6 | 8 | 70 | -36| -2 | 8+70-36-2 = 40 |
| 7 | 81 | 4 | -3 | 5 | 81+4-3+5 = 87 |
| 8 | 2 | 64 | -24| 2 | 2+64-24+2 = 44 |
| 9 | 43 | 4 | 1 | -4 | 43+4+1-4 = 44 |
|10 | 5 | 52 | -13| 1 | 5+52-13+1 = 45 |
|11 | 54 | 1 | 2 | -4 | 54+1+2-4 = 53 |
|12 | 60 | 5 | 1 | -3 | 60+5+1-3 = 63 |
|13 | 4 | 52 | -10| 3 | 4+52-10+3 = 49 |
|14 | 8 | 60 | -25| 1 | 8+60-25+1 = 44 |
|15 | 8 | 60 | -44| 5 | 8+60-44+5 = 29 |
✔ Column sums for Grid 3:
[49, 39, 30, 59, 70, 40, 87, 44, 44, 45, 53, 63, 49, 44, 29]
---
#### Grid 1:
`[5, 6, 3, 4, 7, 7, 5, 6, 6, 5, 4, 8, 1, 4, 1]`
#### Grid 2:
`[20, 18, 17, 17, 56, 13, 14, 13, 28, 43, 95, 44, 4, 55, 95]`
#### Grid 3:
`[49, 39, 30, 59, 70, 40, 87, 44, 44, 45, 53, 63, 49, 44, 29]`
---
Please confirm what the actual task is. For example:
- Are you supposed to find the sum of each column?
- Or maybe row sums?
- Or total sum of the entire grid?
- Or identify patterns or missing values?
Let me know, and I’ll adjust accordingly!
However, the actual task or instruction (e.g., "find the sum of each column", "identify patterns", "solve for missing values", etc.) is not visible in the image. Without knowing what the problem is asking you to do, I can't solve it directly.
But I can help you analyze the structure and suggest common types of problems like this might involve. Here are some possibilities:
---
🔍 Possible Tasks Based on the Format
#### 1. Sum Each Column
You may be asked to compute the sum of each column across the 4 rows.
For example, for the first grid:
- Column 1: 7 + (-2) + (-4) + 4 = 5
- Column 2: 5 + 2 + (-4) + 3 = 6
- And so on...
We can calculate all column sums if needed.
#### 2. Find Patterns or Missing Numbers
Sometimes such grids have missing entries, but here all cells seem filled. Maybe the blank row below each grid is for writing totals or identifying something.
#### 3. Matrix Operations
Maybe you're supposed to perform operations like:
- Row sums
- Column sums
- Find maximum/minimum values
- Identify arithmetic sequences
- Determine if any rows/columns follow a pattern
#### 4. Identify a Hidden Message or Code
Sometimes number grids encode messages via letter positions (A=1, B=2, etc.), but this seems unlikely unless specified.
---
✔ Let’s Assume the Task Is:
> "Calculate the sum of each column for each grid."
I’ll demonstrate how to do it for the first grid, and you can apply the same method to others.
---
🧮 First Grid: Column Sums
| Col | Row1 | Row2 | Row3 | Row4 | Sum |
|-----|------|------|------|------|-----|
| 1 | 7 | -2 | -4 | 4 | 7 - 2 - 4 + 4 = 5 |
| 2 | 5 | 2 | -4 | 3 | 5 + 2 - 4 + 3 = 6 |
| 3 | 5 | -1 | 3 | -4 | 5 -1 +3 -4 = 3 |
| 4 | 3 | 4 | -4 | 1 | 3+4-4+1 = 4 |
| 5 | 7 | -2 | -4 | 6 | 7-2-4+6 = 7 |
| 6 | 5 | -4 | 4 | 2 | 5-4+4+2 = 7 |
| 7 | 2 | 4 | -2 | 1 | 2+4-2+1 = 5 |
| 8 | 1 | 6 | -4 | 3 | 1+6-4+3 = 6 |
| 9 | 8 | -3 | -3 | 4 | 8-3-3+4 = 6 |
|10 | 5 | -3 | 2 | 1 | 5-3+2+1 = 5 |
|11 | 9 | -7 | 5 | -3 | 9-7+5-3 = 4 |
|12 | 4 | 1 | -2 | 5 | 4+1-2+5 = 8 |
|13 | 9 | -4 | 1 | -5 | 9-4+1-5 = 1 |
|14 | 3 | 2 | -2 | 1 | 3+2-2+1 = 4 |
|15 | 5 | 2 | -3 | -3 | 5+2-3-3 = 1 |
✔ So, column sums for Grid 1:
[5, 6, 3, 4, 7, 7, 5, 6, 6, 5, 4, 8, 1, 4, 1]
---
Now let's do Grid 2:
🧮 Second Grid: Column Sums
| Col | R1 | R2 | R3 | R4 | Sum |
|-----|----|----|----|----|-----|
| 1 | 27 | -3 | 1 | -5 | 27-3+1-5 = 20 |
| 2 | 3 | 12 | -1 | 4 | 3+12-1+4 = 18 |
| 3 | 19 | -1 | -4 | 3 | 19-1-4+3 = 17 |
| 4 | 10 | 2 | 3 | 2 | 10+2+3+2 = 17 |
| 5 | 1 | 54 | -2 | 3 | 1+54-2+3 = 56 |
| 6 | 15 | 4 | -4 | -2 | 15+4-4-2 = 13 |
| 7 | 6 | -2 | 11 | -1 | 6-2+11-1 = 14 |
| 8 | 18 | -6 | 4 | -3 | 18-6+4-3 = 13 |
| 9 | 23 | 2 | -1 | 4 | 23+2-1+4 = 28 |
|10 | 47 | -5 | 4 | -3 | 47-5+4-3 = 43 |
|11 | 94 | 4 | -5 | 2 | 94+4-5+2 = 95 |
|12 | 40 | 3 | 4 | -3 | 40+3+4-3 = 44 |
|13 | 1 | 4 | -4 | 3 | 1+4-4+3 = 4 |
|14 | 55 | 2 | -3 | 1 | 55+2-3+1 = 55 |
|15 | 99 | -4 | -3 | 3 | 99-4-3+3 = 95 |
✔ Column sums for Grid 2:
[20, 18, 17, 17, 56, 13, 14, 13, 28, 43, 95, 44, 4, 55, 95]
---
🧮 Third Grid: Column Sums
| Col | R1 | R2 | R3 | R4 | Sum |
|-----|----|----|----|----|-----|
| 1 | 9 | 50 | -16| 6 | 9+50-16+6 = 49 |
| 2 | 3 | 64 | -40| 2 | 3+64-40+2 = 39 |
| 3 | 6 | 50 | -23| -3 | 6+50-23-3 = 30 |
| 4 | 59 | -4 | -1 | 5 | 59-4-1+5 = 59 |
| 5 | 1 | 34 | 40 | -5 | 1+34+40-5 = 70 |
| 6 | 8 | 70 | -36| -2 | 8+70-36-2 = 40 |
| 7 | 81 | 4 | -3 | 5 | 81+4-3+5 = 87 |
| 8 | 2 | 64 | -24| 2 | 2+64-24+2 = 44 |
| 9 | 43 | 4 | 1 | -4 | 43+4+1-4 = 44 |
|10 | 5 | 52 | -13| 1 | 5+52-13+1 = 45 |
|11 | 54 | 1 | 2 | -4 | 54+1+2-4 = 53 |
|12 | 60 | 5 | 1 | -3 | 60+5+1-3 = 63 |
|13 | 4 | 52 | -10| 3 | 4+52-10+3 = 49 |
|14 | 8 | 60 | -25| 1 | 8+60-25+1 = 44 |
|15 | 8 | 60 | -44| 5 | 8+60-44+5 = 29 |
✔ Column sums for Grid 3:
[49, 39, 30, 59, 70, 40, 87, 44, 44, 45, 53, 63, 49, 44, 29]
---
✔ Final Answer (if task was “sum each column”):
#### Grid 1:
`[5, 6, 3, 4, 7, 7, 5, 6, 6, 5, 4, 8, 1, 4, 1]`
#### Grid 2:
`[20, 18, 17, 17, 56, 13, 14, 13, 28, 43, 95, 44, 4, 55, 95]`
#### Grid 3:
`[49, 39, 30, 59, 70, 40, 87, 44, 44, 45, 53, 63, 49, 44, 29]`
---
📌 Next Steps:
Please confirm what the actual task is. For example:
- Are you supposed to find the sum of each column?
- Or maybe row sums?
- Or total sum of the entire grid?
- Or identify patterns or missing values?
Let me know, and I’ll adjust accordingly!
Parent Tip: Review the logic above to help your child master the concept of abacus worksheet.