3D Practice
1. **Estimate and evaluate simple additions and subtractions:**
- a) Estimate $20.1 + 2.1 \approx 20 + 2 = 22$.
- Evaluate exactly: $20.1 + 2.1 = 22.2$.
- b) Estimate $77.8 + 3.2 \approx 78 + 3 = 81$.
- Evaluate exactly: $77.8 + 3.2 = 81.0$.
- c) Estimate $16.4 - 5.5 \approx 16 - 6 = 10$.
- Evaluate exactly: $16.4 - 5.5 = 10.9$.
- d) Estimate $66.02 - 12.11 \approx 66 - 12 = 54$.
- Evaluate exactly: $66.02 - 12.11 = 53.91$.
2. **Estimate and evaluate sums and differences with three terms:**
- a) Estimate $13.9 + 3.42 + 1.08 \approx 14 + 3 + 1 = 18$.
- Evaluate exactly: $13.9 + 3.42 + 1.08 = 18.4$.
- b) Estimate $123.4 + 30.2 + 2 \approx 123 + 30 + 2 = 155$.
- Evaluate exactly: $123.4 + 30.2 + 2 = 155.6$.
- c) Estimate $165.27 - 38.9 - 57.3 \approx 165 - 39 - 57 = 69$.
- Evaluate exactly: $165.27 - 38.9 - 57.3 = 69.07$.
- d) Estimate $79.154 - 3.857 - 12.24 \approx 79 - 4 - 12 = 63$.
- Evaluate exactly: $79.154 - 3.857 - 12.24 = 63.057$.
3. **Estimate and evaluate multiplications and divisions:**
- a) Estimate $149.37 \times 2 \approx 150 \times 2 = 300$.
- Evaluate exactly: $149.37 \times 2 = 298.74$.
- b) Estimate $28.34 \times 7 \approx 28 \times 7 = 196$.
- Evaluate exactly: $28.34 \times 7 = 198.38$.
- c) Estimate $9.876 \times 4 \approx 10 \times 4 = 40$.
- Evaluate exactly: $9.876 \times 4 = 39.504$.
- d) Estimate $4.9 \div 2 \approx 5 \div 2 = 2.5$.
- Evaluate exactly: $4.9 \div 2 = 2.45$.
- e) Estimate $20.6 \div 6 \approx 21 \div 6 = 3.5$.
- Evaluate exactly: $20.6 \div 6 \approx 3.4333$.
- f) Estimate $42.3 \div 62 \approx 42 \div 62 \approx 0.68$.
- Evaluate exactly: $42.3 \div 62 \approx 0.6823$.
4. **Estimate and evaluate expressions with brackets:**
- a) Estimate $484.7 + 200.18 - 50.6 \approx 485 + 200 - 51 = 634$.
- Evaluate exactly: $484.7 + 200.18 - 50.6 = 634.28$.
- b) Estimate $194.2 - (3.8 - 8.51) \approx 194 - (-5) = 199$.
- Evaluate exactly: $194.2 - (3.8 - 8.51) = 194.2 - (-4.71) = 198.91$.
- c) Estimate $-3.15 - (1.79 + 34.7) \approx -3 - 36 = -39$.
- Evaluate exactly: $-3.15 - (1.79 + 34.7) = -3.15 - 36.49 = -39.64$.
- d) Estimate $(14.99 + 36.17) - (3.98 + 5.49) \approx (15 + 36) - (4 + 5) = 51 - 9 = 42$.
- Evaluate exactly: $(14.99 + 36.17) - (3.98 + 5.49) = 51.16 - 9.47 = 41.69$.
5. **Context-based question: Ali's lunch cost**
- Ali bought Seafood fried rice for $3.50 and Tom Yum soup for $2.50.
- Total cost = $3.50 + 2.50 = 6.00$.
**Final answers:**
1a) 22.2
1b) 81.0
1c) 10.9
1d) 53.91
2a) 18.4
2b) 155.6
2c) 69.07
2d) 63.057
3a) 298.74
3b) 198.38
3c) 39.504
3d) 2.45
3e) 3.4333
3f) 0.6823
4a) 634.28
4b) 198.91
4c) -39.64
4d) 41.69
5) 6.00