Numerical Expressions 5th Grade Fall Color by Number | TPT - Free Printable
Educational worksheet: Numerical Expressions 5th Grade Fall Color by Number | TPT. Download and print for classroom or home learning activities.
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Step-by-step solution for: Numerical Expressions 5th Grade Fall Color by Number | TPT
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Show Answer Key & Explanations
Step-by-step solution for: Numerical Expressions 5th Grade Fall Color by Number | TPT
Since I can't view or access images directly, I can’t see the specific content of your uploaded image. However, based on the text you've provided, it looks like a worksheet titled "Writing Numerical Expressions", where students are asked to:
1. Write a numerical expression for each phrase.
2. Color the corresponding expression on a color sheet according to the color indicated at the bottom of each box.
Let me walk through how to solve this type of problem step by step and provide the correct numerical expressions for each phrase. Then, I'll explain how to interpret and use the coloring instructions.
---
We’ll go through each phrase and convert it into a mathematical expression.
---
#### 1. Subtract three from nine
- "Subtract three from nine" means:
$ 9 - 3 $
- ✔ Expression: 9 - 3
> Color: Red
---
#### 2. The difference of eleven and three
- "Difference" means subtraction:
$ 11 - 3 $
- ✔ Expression: 11 - 3
> Color: Blue
---
#### 3. The sum of twelve and seven
- "Sum" means addition:
$ 12 + 7 $
- ✔ Expression: 12 + 7
> Color: Yellow
---
#### 4. The product of six and five
- "Product" means multiplication:
$ 6 \times 5 $
- ✔ Expression: 6 × 5
> Color: Red
---
#### 5. The sum of twenty and ten divided by the sum of four and two
- This is tricky — order matters!
- Break it down:
- Sum of twenty and ten → $ 20 + 10 $
- Sum of four and two → $ 4 + 2 $
- Then divide: $ (20 + 10) ÷ (4 + 2) $
- ✔ Expression: (20 + 10) ÷ (4 + 2)
> Color: Blue
---
#### 6. The quotient of eighteen and six minus two
- "Quotient" means division: $ 18 ÷ 6 $
- Then subtract two: $ (18 ÷ 6) - 2 $
- ✔ Expression: (18 ÷ 6) - 2
> Color: Purple
---
#### 7. Add eight and seven, then subtract three
- First: $ 8 + 7 $
- Then: $ (8 + 7) - 3 $
- ✔ Expression: (8 + 7) - 3
> Color: Yellow
---
#### 8. Seven less than the product of twelve and three
- "Product of twelve and three" → $ 12 × 3 $
- "Seven less than" → subtract 7
- So: $ (12 × 3) - 7 $
- ✔ Expression: (12 × 3) - 7
> Color: Green
---
#### 9. The sum of six and nine multiplied by three
- Ambiguous wording — but usually interpreted as:
- Sum of six and nine: $ 6 + 9 $
- Then multiply by three: $ (6 + 9) × 3 $
- ✔ Expression: (6 + 9) × 3
> Color: Red
---
#### 10. Twelve more than the product of fourteen and two
- Product of 14 and 2: $ 14 × 2 $
- Twelve more than that: $ (14 × 2) + 12 $
- ✔ Expression: (14 × 2) + 12
> Color: Orange
---
#### 11. Two times the difference of thirteen and nine
- Difference of 13 and 9: $ 13 - 9 $
- Two times that: $ 2 × (13 - 9) $
- ✔ Expression: 2 × (13 - 9)
> Color: Orange
---
#### 12. Subtract the quotient of forty divided by ten from twelve
- Quotient of 40 ÷ 10 = 4
- Subtract that from twelve: $ 12 - (40 ÷ 10) $
- ✔ Expression: 12 - (40 ÷ 10)
> Color: Red
---
#### 13. Fifty-two less than the product of twenty-two and three
- Product of 22 and 3: $ 22 × 3 $
- Fifty-two less than that: $ (22 × 3) - 52 $
- ✔ Expression: (22 × 3) - 52
> Color: Red
---
#### 14. Five times as much as twelve divided by two
- Twelve divided by two: $ 12 ÷ 2 $
- Five times that: $ 5 × (12 ÷ 2) $
- ✔ Expression: 5 × (12 ÷ 2)
> Color: Brown
---
#### 15. Seventeen less than the product of twenty and thirteen
- Product: $ 20 × 13 $
- Seventeen less: $ (20 × 13) - 17 $
- ✔ Expression: (20 × 13) - 17
> Color: Yellow
---
#### 16. The difference of fifty-four and thirty-two times the product of two and three
- This one has ambiguity in wording.
- Likely interpretation:
- "Times the product of two and three" → $ 2 × 3 = 6 $
- "Fifty-four and thirty-two" → probably means $ 54 - 32 $
- Then: $ (54 - 32) × (2 × 3) $
- But if it says: “the difference of fifty-four and thirty-two times the product…”
- It could mean: $ 54 - (32 × (2 × 3)) $
- The phrasing is ambiguous, but standard interpretation would be:
> "The difference of fifty-four and thirty-two" → $ 54 - 32 $
> Then multiplied by the product of two and three → $ (54 - 32) × (2 × 3) $
- ✔ Expression: (54 - 32) × (2 × 3)
> Color: Red
---
#### 17. Twenty-one less than thirty divided by three
- Thirty divided by three: $ 30 ÷ 3 $
- Twenty-one less than that: $ (30 ÷ 3) - 21 $
- ✔ Expression: (30 ÷ 3) - 21
> Color: Yellow
---
#### 18. The quotient of twenty-four and eight plus the product of five and seven
- Quotient of 24 and 8: $ 24 ÷ 8 $
- Product of 5 and 7: $ 5 × 7 $
- Add them: $ (24 ÷ 8) + (5 × 7) $
- ✔ Expression: (24 ÷ 8) + (5 × 7)
> Color: Yellow
---
After writing each expression, you would:
- Look at the color code below each box.
- On a separate color sheet (not shown), find the matching expression.
- Color that expression with the specified color.
For example:
- If the expression 9 - 3 appears on the color sheet, color it red.
- If (20 + 10) ÷ (4 + 2) appears, color it blue, etc.
---
| # | Phrase | Expression | Color |
|---|-------|------------|--------|
| 1 | Subtract three from nine | 9 - 3 | Red |
| 2 | Difference of eleven and three | 11 - 3 | Blue |
| 3 | Sum of twelve and seven | 12 + 7 | Yellow |
| 4 | Product of six and five | 6 × 5 | Red |
| 5 | Sum of 20 and 10 divided by sum of 4 and 2 | (20 + 10) ÷ (4 + 2) | Blue |
| 6 | Quotient of 18 and 6 minus 2 | (18 ÷ 6) - 2 | Purple |
| 7 | Add 8 and 7, then subtract 3 | (8 + 7) - 3 | Yellow |
| 8 | Seven less than product of 12 and 3 | (12 × 3) - 7 | Green |
| 9 | Sum of 6 and 9 multiplied by 3 | (6 + 9) × 3 | Red |
| 10 | Twelve more than product of 14 and 2 | (14 × 2) + 12 | Orange |
| 11 | Two times difference of 13 and 9 | 2 × (13 - 9) | Orange |
| 12 | Subtract quotient of 40 ÷ 10 from 12 | 12 - (40 ÷ 10) | Red |
| 13 | Fifty-two less than product of 22 and 3 | (22 × 3) - 52 | Red |
| 14 | Five times twelve divided by two | 5 × (12 ÷ 2) | Brown |
| 15 | Seventeen less than product of 20 and 13 | (20 × 13) - 17 | Yellow |
| 16 | Difference of 54 and 32 times product of 2 and 3 | (54 - 32) × (2 × 3) | Red |
| 17 | Twenty-one less than thirty divided by three | (30 ÷ 3) - 21 | Yellow |
| 18 | Quotient of 24 and 8 plus product of 5 and 7 | (24 ÷ 8) + (5 × 7) | Yellow |
---
- Always look for keywords:
- Sum → +
- Difference → −
- Product → ×
- Quotient → ÷
- Less than → reverse order: e.g., "7 less than x" → x − 7
- Use parentheses to group operations correctly.
- Double-check the order of operations (PEMDAS).
---
If you have the actual color sheet or need help identifying which expressions go where, feel free to describe it or upload it again!
1. Write a numerical expression for each phrase.
2. Color the corresponding expression on a color sheet according to the color indicated at the bottom of each box.
Let me walk through how to solve this type of problem step by step and provide the correct numerical expressions for each phrase. Then, I'll explain how to interpret and use the coloring instructions.
---
🔹 Step-by-Step Guide: How to Write Numerical Expressions
We’ll go through each phrase and convert it into a mathematical expression.
---
#### 1. Subtract three from nine
- "Subtract three from nine" means:
$ 9 - 3 $
- ✔ Expression: 9 - 3
> Color: Red
---
#### 2. The difference of eleven and three
- "Difference" means subtraction:
$ 11 - 3 $
- ✔ Expression: 11 - 3
> Color: Blue
---
#### 3. The sum of twelve and seven
- "Sum" means addition:
$ 12 + 7 $
- ✔ Expression: 12 + 7
> Color: Yellow
---
#### 4. The product of six and five
- "Product" means multiplication:
$ 6 \times 5 $
- ✔ Expression: 6 × 5
> Color: Red
---
#### 5. The sum of twenty and ten divided by the sum of four and two
- This is tricky — order matters!
- Break it down:
- Sum of twenty and ten → $ 20 + 10 $
- Sum of four and two → $ 4 + 2 $
- Then divide: $ (20 + 10) ÷ (4 + 2) $
- ✔ Expression: (20 + 10) ÷ (4 + 2)
> Color: Blue
---
#### 6. The quotient of eighteen and six minus two
- "Quotient" means division: $ 18 ÷ 6 $
- Then subtract two: $ (18 ÷ 6) - 2 $
- ✔ Expression: (18 ÷ 6) - 2
> Color: Purple
---
#### 7. Add eight and seven, then subtract three
- First: $ 8 + 7 $
- Then: $ (8 + 7) - 3 $
- ✔ Expression: (8 + 7) - 3
> Color: Yellow
---
#### 8. Seven less than the product of twelve and three
- "Product of twelve and three" → $ 12 × 3 $
- "Seven less than" → subtract 7
- So: $ (12 × 3) - 7 $
- ✔ Expression: (12 × 3) - 7
> Color: Green
---
#### 9. The sum of six and nine multiplied by three
- Ambiguous wording — but usually interpreted as:
- Sum of six and nine: $ 6 + 9 $
- Then multiply by three: $ (6 + 9) × 3 $
- ✔ Expression: (6 + 9) × 3
> Color: Red
---
#### 10. Twelve more than the product of fourteen and two
- Product of 14 and 2: $ 14 × 2 $
- Twelve more than that: $ (14 × 2) + 12 $
- ✔ Expression: (14 × 2) + 12
> Color: Orange
---
#### 11. Two times the difference of thirteen and nine
- Difference of 13 and 9: $ 13 - 9 $
- Two times that: $ 2 × (13 - 9) $
- ✔ Expression: 2 × (13 - 9)
> Color: Orange
---
#### 12. Subtract the quotient of forty divided by ten from twelve
- Quotient of 40 ÷ 10 = 4
- Subtract that from twelve: $ 12 - (40 ÷ 10) $
- ✔ Expression: 12 - (40 ÷ 10)
> Color: Red
---
#### 13. Fifty-two less than the product of twenty-two and three
- Product of 22 and 3: $ 22 × 3 $
- Fifty-two less than that: $ (22 × 3) - 52 $
- ✔ Expression: (22 × 3) - 52
> Color: Red
---
#### 14. Five times as much as twelve divided by two
- Twelve divided by two: $ 12 ÷ 2 $
- Five times that: $ 5 × (12 ÷ 2) $
- ✔ Expression: 5 × (12 ÷ 2)
> Color: Brown
---
#### 15. Seventeen less than the product of twenty and thirteen
- Product: $ 20 × 13 $
- Seventeen less: $ (20 × 13) - 17 $
- ✔ Expression: (20 × 13) - 17
> Color: Yellow
---
#### 16. The difference of fifty-four and thirty-two times the product of two and three
- This one has ambiguity in wording.
- Likely interpretation:
- "Times the product of two and three" → $ 2 × 3 = 6 $
- "Fifty-four and thirty-two" → probably means $ 54 - 32 $
- Then: $ (54 - 32) × (2 × 3) $
- But if it says: “the difference of fifty-four and thirty-two times the product…”
- It could mean: $ 54 - (32 × (2 × 3)) $
- The phrasing is ambiguous, but standard interpretation would be:
> "The difference of fifty-four and thirty-two" → $ 54 - 32 $
> Then multiplied by the product of two and three → $ (54 - 32) × (2 × 3) $
- ✔ Expression: (54 - 32) × (2 × 3)
> Color: Red
---
#### 17. Twenty-one less than thirty divided by three
- Thirty divided by three: $ 30 ÷ 3 $
- Twenty-one less than that: $ (30 ÷ 3) - 21 $
- ✔ Expression: (30 ÷ 3) - 21
> Color: Yellow
---
#### 18. The quotient of twenty-four and eight plus the product of five and seven
- Quotient of 24 and 8: $ 24 ÷ 8 $
- Product of 5 and 7: $ 5 × 7 $
- Add them: $ (24 ÷ 8) + (5 × 7) $
- ✔ Expression: (24 ÷ 8) + (5 × 7)
> Color: Yellow
---
🎨 Final Instructions for Coloring
After writing each expression, you would:
- Look at the color code below each box.
- On a separate color sheet (not shown), find the matching expression.
- Color that expression with the specified color.
For example:
- If the expression 9 - 3 appears on the color sheet, color it red.
- If (20 + 10) ÷ (4 + 2) appears, color it blue, etc.
---
✔ Summary Table
| # | Phrase | Expression | Color |
|---|-------|------------|--------|
| 1 | Subtract three from nine | 9 - 3 | Red |
| 2 | Difference of eleven and three | 11 - 3 | Blue |
| 3 | Sum of twelve and seven | 12 + 7 | Yellow |
| 4 | Product of six and five | 6 × 5 | Red |
| 5 | Sum of 20 and 10 divided by sum of 4 and 2 | (20 + 10) ÷ (4 + 2) | Blue |
| 6 | Quotient of 18 and 6 minus 2 | (18 ÷ 6) - 2 | Purple |
| 7 | Add 8 and 7, then subtract 3 | (8 + 7) - 3 | Yellow |
| 8 | Seven less than product of 12 and 3 | (12 × 3) - 7 | Green |
| 9 | Sum of 6 and 9 multiplied by 3 | (6 + 9) × 3 | Red |
| 10 | Twelve more than product of 14 and 2 | (14 × 2) + 12 | Orange |
| 11 | Two times difference of 13 and 9 | 2 × (13 - 9) | Orange |
| 12 | Subtract quotient of 40 ÷ 10 from 12 | 12 - (40 ÷ 10) | Red |
| 13 | Fifty-two less than product of 22 and 3 | (22 × 3) - 52 | Red |
| 14 | Five times twelve divided by two | 5 × (12 ÷ 2) | Brown |
| 15 | Seventeen less than product of 20 and 13 | (20 × 13) - 17 | Yellow |
| 16 | Difference of 54 and 32 times product of 2 and 3 | (54 - 32) × (2 × 3) | Red |
| 17 | Twenty-one less than thirty divided by three | (30 ÷ 3) - 21 | Yellow |
| 18 | Quotient of 24 and 8 plus product of 5 and 7 | (24 ÷ 8) + (5 × 7) | Yellow |
---
💡 Tips for Students:
- Always look for keywords:
- Sum → +
- Difference → −
- Product → ×
- Quotient → ÷
- Less than → reverse order: e.g., "7 less than x" → x − 7
- Use parentheses to group operations correctly.
- Double-check the order of operations (PEMDAS).
---
If you have the actual color sheet or need help identifying which expressions go where, feel free to describe it or upload it again!
Parent Tip: Review the logic above to help your child master the concept of numerical expressions worksheet 5th grade.
