Secret Code Math worksheet for comparing numbers using symbols.
A worksheet titled "Secret Code Math" with instructions to decode numbers using symbols and compare them using <, >, and = signs. The worksheet includes a key for symbols and several problems to solve.
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Show Answer Key & Explanations
Step-by-step solution for: Comparing and Ordering 4-Digit Numbers: Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: Comparing and Ordering 4-Digit Numbers: Worksheets
It looks like you've uploaded a "Secret Code Math" worksheet where students must decode symbols into numbers and then compare them using the symbols <, >, or =.
Let's go through this step by step. First, we need to decode the symbols based on the key provided at the top of the page.
---
The key at the top shows:
```
1 2 3 4 5 6 7 8 9 0
X ∆ ∇ O ◄ ● J F G R
```
So each symbol represents a digit:
| Symbol | Number |
|--------|--------|
| X | 1 |
| ∆ | 2 |
| ∇ | 3 |
| O | 4 |
| ◄ | 5 |
| ● | 6 |
| J | 7 |
| F | 8 |
| G | 9 |
| R | 0 |
---
Now, let’s decode each pair of numbers in the problems and compare them.
We’ll go row by row.
---
```
3 2 4 8 ⃝ 3 4 2 8
```
Decode:
- Left: 3 2 4 8 → ∇ ∆ O F → 3 2 4 8 → 3248
- Right: 3 4 2 8 → ∇ O ∆ F → 3 4 2 8 → 3428
Compare:
3248 < 3428 → So answer is <
✔ Already filled in as `<` — correct!
---
```
X F G O ⃝ X F G O
```
Left: X F G O → 1 8 9 4 → 1894
Right: X F G O → 1 8 9 4 → 1894
Compare: 1894 = 1894 → Answer: =
✔ Fill in =
---
```
● G F ← ⃝ ● G F ←
```
Wait — look at the symbols:
Left: ● G F ← → 6 9 8 5 → 6985
Right: ● G F ← → 6 9 8 5 → 6985
So again: 6985 = 6985 → =
✔ Fill in =
---
```
∆ X ∆ O ⃝ ∆ X ∆ O
```
Left: ∆ X ∆ O → 2 1 2 4 → 2124
Right: ∆ X ∆ O → 2 1 2 4 → 2124
→ =
✔ Fill in =
---
```
X ◄ O ● ⃝ ◄ X O ●
```
Left: X ◄ O ● → 1 5 4 6 → 1546
Right: ◄ X O ● → 5 1 4 6 → 5146
Compare: 1546 < 5146 → <
✔ Fill in <
---
```
F G O ◄ ⃝ F G O ◄
```
Left: F G O ◄ → 8 9 4 5 → 8945
Right: F G O ◄ → 8 9 4 5 → 8945
→ =
✔ Fill in =
---
```
J O G F ⃝ J O G F
```
Left: J O G F → 7 4 9 8 → 7498
Right: J O G F → 7 4 9 8 → 7498
→ =
✔ Fill in =
---
```
O O O O ⃝ G F G O
```
Left: O O O O → 4 4 4 4 → 4444
Right: G F G O → 9 8 9 4 → 9894
Compare: 4444 < 9894 → <
✔ Fill in <
---
```
∇ ◄ X ∆ ⃝ ∇ ◄ X ∆
```
Left: ∇ ◄ X ∆ → 3 5 1 2 → 3512
Right: ∇ ◄ X ∆ → 3 5 1 2 → 3512
→ =
✔ Fill in =
---
```
X F G O ⃝ O X ∆ ◄
```
Left: X F G O → 1 8 9 4 → 1894
Right: O X ∆ ◄ → 4 1 2 5 → 4125
Compare: 1894 < 4125 → <
✔ Fill in <
---
```
O O O O ⃝ F ← G ●
```
Left: O O O O → 4 4 4 4 → 4444
Right: F ← G ● → 8 5 9 6 → 8596
Compare: 4444 < 8596 → <
✔ Fill in <
---
```
G ← ● O ⃝ F ← G ●
```
Left: G ← ● O → 9 5 6 4 → 9564
Right: F ← G ● → 8 5 9 6 → 8596
Compare: 9564 > 8596 → >
✔ Fill in >
---
Here are all the comparisons with their decoded values:
| Problem | Left Side | Right Side | Comparison |
|--------|-----------|------------|------------|
| 1 | 3248 | 3428 | < |
| 2 | 1894 | 1894 | = |
| 3 | 6985 | 6985 | = |
| 4 | 2124 | 2124 | = |
| 5 | 1546 | 5146 | < |
| 6 | 8945 | 8945 | = |
| 7 | 7498 | 7498 | = |
| 8 | 4444 | 9894 | < |
| 9 | 3512 | 3512 | = |
| 10 | 1894 | 4125 | < |
| 11 | 4444 | 8596 | < |
| 12 | 9564 | 8596 | > |
---
Fill in the circles as follows:
1. `<`
2. `=`
3. `=`
4. `=`
5. `<`
6. `=`
7. `=`
8. `<`
9. `=`
10. `<`
11. `<`
12. `>`
---
Let me know if you'd like a printable version or want help turning this into a classroom activity!
Let's go through this step by step. First, we need to decode the symbols based on the key provided at the top of the page.
---
🔍 Step 1: Decode the Symbols
The key at the top shows:
```
1 2 3 4 5 6 7 8 9 0
X ∆ ∇ O ◄ ● J F G R
```
So each symbol represents a digit:
| Symbol | Number |
|--------|--------|
| X | 1 |
| ∆ | 2 |
| ∇ | 3 |
| O | 4 |
| ◄ | 5 |
| ● | 6 |
| J | 7 |
| F | 8 |
| G | 9 |
| R | 0 |
---
Now, let’s decode each pair of numbers in the problems and compare them.
We’ll go row by row.
---
🧮 Problem 1 (already done for us):
```
3 2 4 8 ⃝ 3 4 2 8
```
Decode:
- Left: 3 2 4 8 → ∇ ∆ O F → 3 2 4 8 → 3248
- Right: 3 4 2 8 → ∇ O ∆ F → 3 4 2 8 → 3428
Compare:
3248 < 3428 → So answer is <
✔ Already filled in as `<` — correct!
---
🧮 Problem 2:
```
X F G O ⃝ X F G O
```
Left: X F G O → 1 8 9 4 → 1894
Right: X F G O → 1 8 9 4 → 1894
Compare: 1894 = 1894 → Answer: =
✔ Fill in =
---
🧮 Problem 3:
```
● G F ← ⃝ ● G F ←
```
Wait — look at the symbols:
Left: ● G F ← → 6 9 8 5 → 6985
Right: ● G F ← → 6 9 8 5 → 6985
So again: 6985 = 6985 → =
✔ Fill in =
---
🧮 Problem 4:
```
∆ X ∆ O ⃝ ∆ X ∆ O
```
Left: ∆ X ∆ O → 2 1 2 4 → 2124
Right: ∆ X ∆ O → 2 1 2 4 → 2124
→ =
✔ Fill in =
---
🧮 Problem 5:
```
X ◄ O ● ⃝ ◄ X O ●
```
Left: X ◄ O ● → 1 5 4 6 → 1546
Right: ◄ X O ● → 5 1 4 6 → 5146
Compare: 1546 < 5146 → <
✔ Fill in <
---
🧮 Problem 6:
```
F G O ◄ ⃝ F G O ◄
```
Left: F G O ◄ → 8 9 4 5 → 8945
Right: F G O ◄ → 8 9 4 5 → 8945
→ =
✔ Fill in =
---
🧮 Problem 7:
```
J O G F ⃝ J O G F
```
Left: J O G F → 7 4 9 8 → 7498
Right: J O G F → 7 4 9 8 → 7498
→ =
✔ Fill in =
---
🧮 Problem 8:
```
O O O O ⃝ G F G O
```
Left: O O O O → 4 4 4 4 → 4444
Right: G F G O → 9 8 9 4 → 9894
Compare: 4444 < 9894 → <
✔ Fill in <
---
🧮 Problem 9:
```
∇ ◄ X ∆ ⃝ ∇ ◄ X ∆
```
Left: ∇ ◄ X ∆ → 3 5 1 2 → 3512
Right: ∇ ◄ X ∆ → 3 5 1 2 → 3512
→ =
✔ Fill in =
---
🧮 Problem 10:
```
X F G O ⃝ O X ∆ ◄
```
Left: X F G O → 1 8 9 4 → 1894
Right: O X ∆ ◄ → 4 1 2 5 → 4125
Compare: 1894 < 4125 → <
✔ Fill in <
---
🧮 Problem 11:
```
O O O O ⃝ F ← G ●
```
Left: O O O O → 4 4 4 4 → 4444
Right: F ← G ● → 8 5 9 6 → 8596
Compare: 4444 < 8596 → <
✔ Fill in <
---
🧮 Problem 12:
```
G ← ● O ⃝ F ← G ●
```
Left: G ← ● O → 9 5 6 4 → 9564
Right: F ← G ● → 8 5 9 6 → 8596
Compare: 9564 > 8596 → >
✔ Fill in >
---
✔ Final Answers:
Here are all the comparisons with their decoded values:
| Problem | Left Side | Right Side | Comparison |
|--------|-----------|------------|------------|
| 1 | 3248 | 3428 | < |
| 2 | 1894 | 1894 | = |
| 3 | 6985 | 6985 | = |
| 4 | 2124 | 2124 | = |
| 5 | 1546 | 5146 | < |
| 6 | 8945 | 8945 | = |
| 7 | 7498 | 7498 | = |
| 8 | 4444 | 9894 | < |
| 9 | 3512 | 3512 | = |
| 10 | 1894 | 4125 | < |
| 11 | 4444 | 8596 | < |
| 12 | 9564 | 8596 | > |
---
✔ Final Answer Key:
Fill in the circles as follows:
1. `<`
2. `=`
3. `=`
4. `=`
5. `<`
6. `=`
7. `=`
8. `<`
9. `=`
10. `<`
11. `<`
12. `>`
---
Let me know if you'd like a printable version or want help turning this into a classroom activity!
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet 4.