Math worksheet with missing operations to solve, featuring an apple logo.
Worksheet titled "Missing Operations" with math problems requiring addition, subtraction, multiplication, or division to complete equations, featuring an apple logo with "Mathematical" text.
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Step-by-step solution for: Missing Operations Worksheet :: A Transum Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Missing Operations Worksheet :: A Transum Worksheet
Let's solve each of these missing operations problems step by step. The goal is to determine the correct operation (addition, subtraction, multiplication, or division) that makes each equation true.
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We need to find two operations such that:
(24 □ 9) □ 1 = 217
Try possible combinations:
- Try multiplication first:
24 × 9 = 216
Then 216 + 1 = 217 ✔
So:
(24 × 9) + 1 = 217
✔ Answer: × and +
---
Try possibilities:
First, compute inside parentheses:
- 5 + 10 = 15 → 32 × 15 = 480 ✔
So:
32 × (5 + 10) = 480
✔ Answer: × and +
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Try:
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
Wait — try:
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘
Wait — maybe:
Try: (7 × 2) = 14, then 14 + 13 = 27 ✘
Try: (7 + 2) = 9, 9 + 13 = 22 ✘
Try: (7 × 2) = 14, 14 + 13 = 27 ✘
Wait — what if it's:
(7 + 2) = 9 → 9 × 2 = 18? But we have 13, not 2.
Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Try: (7 + 2) = 9 → 9 + 13 = 22 ✘
Wait — what if:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Hmm.
Try: (7 + 2) = 9 → 9 × 2 = 18, but we have 13.
Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — perhaps:
(7 + 2) = 9 → 9 × 2 = 18 → but second operand is 13.
Wait — maybe subtraction?
Try: (7 + 2) = 9 → 9 × 2 = 18 → no.
Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — try:
(7 + 2) = 9 → 9 + 13 = 22 ✘
Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — let's reverse:
Suppose result is 18.
What number plus or minus 13 gives 18?
18 - 13 = 5 → so (7 □ 2) must be 5.
So: 7 □ 2 = 5 → 7 - 2 = 5 ✔
Then: (7 - 2) + 13 = 5 + 13 = 18 ✔
So: (7 - 2) + 13 = 18
✔ Answer: - and +
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Try possibilities.
Try:
- 11 + 10 = 21 → 12 ÷ 6 = 2 → 21 - 2 = 19 ✔
So: (11 + 10) - (12 ÷ 6) = 21 - 2 = 19
✔ Answer: +, -, ÷
But we have three boxes. So:
(11 + 10) - (12 ÷ 6) = 19
So: +, -, ÷
✔ Answer: +, -, ÷
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Try:
12 + 18 = 30 → 30 - 13 = 17 ✘
12 - 18 = -6 → -6 × 13 = -78 ✔
So: (12 - 18) × 13 = (-6) × 13 = -78
✔ Answer: -, ×
---
Try:
20 + 27 = 47 → 12 - 47 = -35 ✘
20 - 27 = -7 → 12 × (-7) = -84 ✔
So: 12 × (20 - 27) = 12 × (-7) = -84
✔ Answer: ×, -
---
Try:
23 + 30 = 53 → 53 - 17 = 36 ✘
23 - 30 = -7 → -7 × 17 = -119 ✔
So: (23 - 30) × 17 = (-7) × 17 = -119
✔ Answer: -, ×
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Try:
Look at 1496. Let’s see what could multiply to give this.
Try: 14 × 30 = 420 → too small
14 + 30 = 44 → 21 + 13 = 34 → 44 × 34 = ?
44 × 34 = (40+4)(30+4) = 40×30=1200, 40×4=160, 4×30=120, 4×4=16 → total = 1200+160+120+16 = 1496 ✔
So: (14 + 30) × (21 + 13) = 44 × 34 = 1496
✔ Answer: +, ×, +
---
Try:
39 + 40 = 79 → 79 + 73 = 152 ✔
So: (39 + 40) + 73 = 79 + 73 = 152
✔ Answer: +, +
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Try:
36 × 39 = ? → 36×40 = 1440 → minus 36 = 1404
30 × 33 = 990
1404 × 990 → way too big
Try: 36 + 39 = 75
30 + 33 = 63
75 × 63 = ?
75 × 60 = 4500
75 × 3 = 225
Total = 4500 + 225 = 4725 ✔
So: (36 + 39) × (30 + 33) = 75 × 63 = 4725
✔ Answer: +, ×, +
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1. (24 × 9) + 1 = 217 → ×, +
2. 32 × (5 + 10) = 480 → ×, +
3. (7 - 2) + 13 = 18 → -, +
4. (11 + 10) - (12 ÷ 6) = 19 → +, -, ÷
5. (12 - 18) × 13 = -78 → -, ×
6. 12 × (20 - 27) = -84 → ×, -
7. (23 - 30) × 17 = -119 → -, ×
8. (14 + 30) × (21 + 13) = 1496 → +, ×, +
9. (39 + 40) + 73 = 152 → +, +
10. (36 + 39) × (30 + 33) = 4725 → +, ×, +
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Let me know if you'd like a printable version or explanation for any one in particular!
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1. (24 □ 9) □ 1 = 217
We need to find two operations such that:
(24 □ 9) □ 1 = 217
Try possible combinations:
- Try multiplication first:
24 × 9 = 216
Then 216 + 1 = 217 ✔
So:
(24 × 9) + 1 = 217
✔ Answer: × and +
---
2. 32 □ (5 □ 10) = 480
Try possibilities:
First, compute inside parentheses:
- 5 + 10 = 15 → 32 × 15 = 480 ✔
So:
32 × (5 + 10) = 480
✔ Answer: × and +
---
3. (7 □ 2) □ 13 = 18
Try:
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘
- 7 × 2 = 14 → 14 + 13 = 27 ✘
Wait — try:
- 7 × 2 = 14 → 14 + 13 = 27 ✘
- 7 + 2 = 9 → 9 + 13 = 22 ✘
Wait — maybe:
Try: (7 × 2) = 14, then 14 + 13 = 27 ✘
Try: (7 + 2) = 9, 9 + 13 = 22 ✘
Try: (7 × 2) = 14, 14 + 13 = 27 ✘
Wait — what if it's:
(7 + 2) = 9 → 9 × 2 = 18? But we have 13, not 2.
Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Try: (7 + 2) = 9 → 9 + 13 = 22 ✘
Wait — what if:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Hmm.
Try: (7 + 2) = 9 → 9 × 2 = 18, but we have 13.
Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — perhaps:
(7 + 2) = 9 → 9 × 2 = 18 → but second operand is 13.
Wait — maybe subtraction?
Try: (7 + 2) = 9 → 9 × 2 = 18 → no.
Wait — try:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — try:
(7 + 2) = 9 → 9 + 13 = 22 ✘
Wait — maybe:
(7 × 2) = 14 → 14 + 13 = 27 ✘
Wait — let's reverse:
Suppose result is 18.
What number plus or minus 13 gives 18?
18 - 13 = 5 → so (7 □ 2) must be 5.
So: 7 □ 2 = 5 → 7 - 2 = 5 ✔
Then: (7 - 2) + 13 = 5 + 13 = 18 ✔
So: (7 - 2) + 13 = 18
✔ Answer: - and +
---
4. (11 □ 10) □ (12 □ 6) = 19
Try possibilities.
Try:
- 11 + 10 = 21 → 12 ÷ 6 = 2 → 21 - 2 = 19 ✔
So: (11 + 10) - (12 ÷ 6) = 21 - 2 = 19
✔ Answer: +, -, ÷
But we have three boxes. So:
(11 + 10) - (12 ÷ 6) = 19
So: +, -, ÷
✔ Answer: +, -, ÷
---
5. (12 □ 18) □ 13 = -78
Try:
12 + 18 = 30 → 30 - 13 = 17 ✘
12 - 18 = -6 → -6 × 13 = -78 ✔
So: (12 - 18) × 13 = (-6) × 13 = -78
✔ Answer: -, ×
---
6. 12 □ (20 □ 27) = -84
Try:
20 + 27 = 47 → 12 - 47 = -35 ✘
20 - 27 = -7 → 12 × (-7) = -84 ✔
So: 12 × (20 - 27) = 12 × (-7) = -84
✔ Answer: ×, -
---
7. (23 □ 30) □ 17 = -119
Try:
23 + 30 = 53 → 53 - 17 = 36 ✘
23 - 30 = -7 → -7 × 17 = -119 ✔
So: (23 - 30) × 17 = (-7) × 17 = -119
✔ Answer: -, ×
---
8. (14 □ 30) □ (21 □ 13) = 1496
Try:
Look at 1496. Let’s see what could multiply to give this.
Try: 14 × 30 = 420 → too small
14 + 30 = 44 → 21 + 13 = 34 → 44 × 34 = ?
44 × 34 = (40+4)(30+4) = 40×30=1200, 40×4=160, 4×30=120, 4×4=16 → total = 1200+160+120+16 = 1496 ✔
So: (14 + 30) × (21 + 13) = 44 × 34 = 1496
✔ Answer: +, ×, +
---
9. (39 □ 40) □ 73 = 152
Try:
39 + 40 = 79 → 79 + 73 = 152 ✔
So: (39 + 40) + 73 = 79 + 73 = 152
✔ Answer: +, +
---
10. (36 □ 39) □ (30 □ 33) = 4725
Try:
36 × 39 = ? → 36×40 = 1440 → minus 36 = 1404
30 × 33 = 990
1404 × 990 → way too big
Try: 36 + 39 = 75
30 + 33 = 63
75 × 63 = ?
75 × 60 = 4500
75 × 3 = 225
Total = 4500 + 225 = 4725 ✔
So: (36 + 39) × (30 + 33) = 75 × 63 = 4725
✔ Answer: +, ×, +
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✔ Final Answers:
1. (24 × 9) + 1 = 217 → ×, +
2. 32 × (5 + 10) = 480 → ×, +
3. (7 - 2) + 13 = 18 → -, +
4. (11 + 10) - (12 ÷ 6) = 19 → +, -, ÷
5. (12 - 18) × 13 = -78 → -, ×
6. 12 × (20 - 27) = -84 → ×, -
7. (23 - 30) × 17 = -119 → -, ×
8. (14 + 30) × (21 + 13) = 1496 → +, ×, +
9. (39 + 40) + 73 = 152 → +, +
10. (36 + 39) × (30 + 33) = 4725 → +, ×, +
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Let me know if you'd like a printable version or explanation for any one in particular!
Parent Tip: Review the logic above to help your child master the concept of number operation worksheet.