Let's solve each problem step by step and write the correct
numerical expressions as instructed. Remember:
- Use `/` for division.
- Do
not put spaces.
- Follow the order of operations (PEMDAS) when needed.
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1. Add 6 and 4, then multiply 2
→ First add: 6 + 4 = 10
Then multiply by 2: 10 × 2 = 20
But we need to write the
expression, not the answer.
So: `(6+4)*2`
✔ Answer: `(6+4)*2`
---
2. Add 5 and 10, then divide by 2
→ 5 + 10 = 15, then 15 / 2
Expression: `(5+10)/2`
✔ Answer: `(5+10)/2`
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3. Subtract 8 from 19, then divide by 2
→ 19 - 8 = 11, then 11 / 2
Expression: `(19-8)/2`
✔ Answer: `(19-8)/2`
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4. Divide 16 by 2, then add 3
→ 16 / 2 = 8, then 8 + 3 = 11
Expression: `16/2+3`
⚠️ Note: Since division comes before addition in order of operations, no parentheses are needed unless we want to force order. But here, it's correct as is.
✔ Answer: `16/2+3`
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5. 3 more than 18 multiplied by 4
→ "18 multiplied by 4" = 18 × 4 = 72
Then "3 more than" → 72 + 3 = 75
But be careful: "3 more than 18 multiplied by 4" means:
(18 × 4) + 3
So expression: `18*4+3`
✔ Answer: `18*4+3`
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6. Subtract 6 from 12, then multiply by 3
→ 12 - 6 = 6, then 6 × 3 = 18
Expression: `(12-6)*3`
✔ Answer: `(12-6)*3`
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7. Add 9 and 14, then multiply 4
→ 9 + 14 = 23, then 23 × 4 = 92
Expression: `(9+14)*4`
✔ Answer: `(9+14)*4`
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8. Divide 90 by 2, then add 27
→ 90 / 2 = 45, then 45 + 27 = 72
Expression: `90/2+27`
✔ Answer: `90/2+27`
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9. The sum of 12 and 4 multiply by 2
→ "The sum of 12 and 4" = 12 + 4 = 16
Then multiply by 2 → 16 × 2 = 32
Expression: `(12+4)*2`
✔ Answer: `(12+4)*2`
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10. The quotient of 16 and 4 plus 2
→ "Quotient of 16 and 4" = 16 / 4 = 4
Then "plus 2" → 4 + 2 = 6
Expression: `16/4+2`
✔ Answer: `16/4+2`
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✔ Final Answers:
1. `(6+4)*2`
2. `(5+10)/2`
3. `(19-8)/2`
4. `16/2+3`
5. `18*4+3`
6. `(12-6)*3`
7. `(9+14)*4`
8. `90/2+27`
9. `(12+4)*2`
10. `16/4+2`
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Parent Tip: Review the logic above to help your child master the concept of numerical expressions worksheet 5th grade.