Printable multiplication Charts 1-20 (PDF) Free | Memozor - Free Printable
Educational worksheet: Printable multiplication Charts 1-20 (PDF) Free | Memozor. Download and print for classroom or home learning activities.
JPG
1600×1600
692.2 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1864065
⭐
Show Answer Key & Explanations
Step-by-step solution for: Printable multiplication Charts 1-20 (PDF) Free | Memozor
▼
Show Answer Key & Explanations
Step-by-step solution for: Printable multiplication Charts 1-20 (PDF) Free | Memozor
Let’s solve this step by step.
We are given a multiplication table from 1 to 20. The rows and columns are labeled with numbers 1 through 20, and each cell contains the product of its row number and column number.
For example:
- Row 3, Column 4 → 3 × 4 = 12
- Row 7, Column 8 → 7 × 8 = 56
Now, let’s look at the highlighted cells (the ones with light blue background). These are perfect squares — where the row number equals the column number.
Let’s list them:
- Row 1, Column 1 → 1 × 1 = 1
- Row 2, Column 2 → 2 × 2 = 4
- Row 3, Column 3 → 3 × 3 = 9
- Row 4, Column 4 → 4 × 4 = 16
- Row 5, Column 5 → 5 × 5 = 25
- Row 6, Column 6 → 6 × 6 = 36
- Row 7, Column 7 → 7 × 7 = 49
- Row 8, Column 8 → 8 × 8 = 64
- Row 9, Column 9 → 9 × 9 = 81
- Row 10, Column 10 → 10 × 10 = 100
- Row 11, Column 11 → 11 × 11 = 121
- Row 12, Column 12 → 12 × 12 = 144
- Row 13, Column 13 → 13 × 13 = 169
- Row 14, Column 14 → 14 × 14 = 196
- Row 15, Column 15 → 15 × 15 = 225
- Row 16, Column 16 → 16 × 16 = 256
- Row 17, Column 17 → 17 × 17 = 289
- Row 18, Column 18 → 18 × 18 = 324
- Row 19, Column 19 → 19 × 19 = 361
- Row 20, Column 20 → 20 × 20 = 400
These are all the perfect squares from 1² to 20².
The question is likely asking: “What do these highlighted numbers have in common?” or “List the highlighted numbers.”
Since no specific question was asked in the prompt, but we’re told to “solve the problem accurately,” and the only visible pattern is the diagonal of perfect squares, I’ll assume the task is to identify or list those highlighted values.
But wait — maybe the actual task is hidden? Let me re-read the user input.
Actually, the user just uploaded an image and said “Solve the problem accurately.” Since there’s no explicit question written, perhaps the implied task is to recognize that the highlighted cells form the diagonal of perfect squares — or maybe to find the sum of those highlighted numbers?
That’s a common type of problem: “Find the sum of the numbers on the main diagonal of the multiplication table.”
Let’s calculate that sum to be safe.
Add up all the perfect squares from 1² to 20²:
1 + 4 = 5
5 + 9 = 14
14 + 16 = 30
30 + 25 = 55
55 + 36 = 91
91 + 49 = 140
140 + 64 = 204
204 + 81 = 285
285 + 100 = 385
385 + 121 = 506
506 + 144 = 650
650 + 169 = 819
819 + 196 = 1015
1015 + 225 = 1240
1240 + 256 = 1496
1496 + 289 = 1785
1785 + 324 = 2109
2109 + 361 = 2470
2470 + 400 = 2870
So the sum of the highlighted numbers (perfect squares from 1 to 20) is 2870.
Alternatively, if the task was simply to identify what the highlighted numbers represent, then the answer is: they are perfect squares (squares of integers from 1 to 20).
But since the instruction says “solve the problem accurately” and doesn’t specify, and given that in many such tables the diagonal is often used for summing, I think the most complete answer is to provide the sum.
Wait — let me double-check my addition.
I can use the formula for the sum of squares:
Sum = n(n+1)(2n+1)/6
For n=20:
20 × 21 × 41 / 6
First, 20/2 = 10, 6/2 = 3 → so 10 × 21 × 41 / 3
21/3 = 7 → so 10 × 7 × 41 = 70 × 41
70 × 40 = 2800, 70 × 1 = 70 → total 2870 ✔
Yes, correct.
Final Answer:
2870
We are given a multiplication table from 1 to 20. The rows and columns are labeled with numbers 1 through 20, and each cell contains the product of its row number and column number.
For example:
- Row 3, Column 4 → 3 × 4 = 12
- Row 7, Column 8 → 7 × 8 = 56
Now, let’s look at the highlighted cells (the ones with light blue background). These are perfect squares — where the row number equals the column number.
Let’s list them:
- Row 1, Column 1 → 1 × 1 = 1
- Row 2, Column 2 → 2 × 2 = 4
- Row 3, Column 3 → 3 × 3 = 9
- Row 4, Column 4 → 4 × 4 = 16
- Row 5, Column 5 → 5 × 5 = 25
- Row 6, Column 6 → 6 × 6 = 36
- Row 7, Column 7 → 7 × 7 = 49
- Row 8, Column 8 → 8 × 8 = 64
- Row 9, Column 9 → 9 × 9 = 81
- Row 10, Column 10 → 10 × 10 = 100
- Row 11, Column 11 → 11 × 11 = 121
- Row 12, Column 12 → 12 × 12 = 144
- Row 13, Column 13 → 13 × 13 = 169
- Row 14, Column 14 → 14 × 14 = 196
- Row 15, Column 15 → 15 × 15 = 225
- Row 16, Column 16 → 16 × 16 = 256
- Row 17, Column 17 → 17 × 17 = 289
- Row 18, Column 18 → 18 × 18 = 324
- Row 19, Column 19 → 19 × 19 = 361
- Row 20, Column 20 → 20 × 20 = 400
These are all the perfect squares from 1² to 20².
The question is likely asking: “What do these highlighted numbers have in common?” or “List the highlighted numbers.”
Since no specific question was asked in the prompt, but we’re told to “solve the problem accurately,” and the only visible pattern is the diagonal of perfect squares, I’ll assume the task is to identify or list those highlighted values.
But wait — maybe the actual task is hidden? Let me re-read the user input.
Actually, the user just uploaded an image and said “Solve the problem accurately.” Since there’s no explicit question written, perhaps the implied task is to recognize that the highlighted cells form the diagonal of perfect squares — or maybe to find the sum of those highlighted numbers?
That’s a common type of problem: “Find the sum of the numbers on the main diagonal of the multiplication table.”
Let’s calculate that sum to be safe.
Add up all the perfect squares from 1² to 20²:
1 + 4 = 5
5 + 9 = 14
14 + 16 = 30
30 + 25 = 55
55 + 36 = 91
91 + 49 = 140
140 + 64 = 204
204 + 81 = 285
285 + 100 = 385
385 + 121 = 506
506 + 144 = 650
650 + 169 = 819
819 + 196 = 1015
1015 + 225 = 1240
1240 + 256 = 1496
1496 + 289 = 1785
1785 + 324 = 2109
2109 + 361 = 2470
2470 + 400 = 2870
So the sum of the highlighted numbers (perfect squares from 1 to 20) is 2870.
Alternatively, if the task was simply to identify what the highlighted numbers represent, then the answer is: they are perfect squares (squares of integers from 1 to 20).
But since the instruction says “solve the problem accurately” and doesn’t specify, and given that in many such tables the diagonal is often used for summing, I think the most complete answer is to provide the sum.
Wait — let me double-check my addition.
I can use the formula for the sum of squares:
Sum = n(n+1)(2n+1)/6
For n=20:
20 × 21 × 41 / 6
First, 20/2 = 10, 6/2 = 3 → so 10 × 21 × 41 / 3
21/3 = 7 → so 10 × 7 × 41 = 70 × 41
70 × 40 = 2800, 70 × 1 = 70 → total 2870 ✔
Yes, correct.
Final Answer:
2870
Parent Tip: Review the logic above to help your child master the concept of multiplication table upto 20 printable.