1. How last can you do the following calculations? a) \( 500-150=350 \), therefore \( \square+150=500 \) b) \( 12 \times \square=96 \), therefore \( 96 \div 8=\square \) c) \( 3000+8000=\square \), therefore \( 11000-\square=8000 \) d) \( 5000+200+4000=\square \), therefore \( 9200-\square-5000=4000 \) e) \( 90 \times \square=2700 \), therefore \( 2700 \div 30=\square \) (1) \( 4200 \div 60=\square \), therefore \( \square \times 70=4200 \) g) \( 2000+5000+\square=10500 \), therefore \( 10500-3500-\square=2000 \) b) \( 30 \times 50=\square \), therefore \( 1500 \div 50=\square \) i) \( 10000-\square-100=7400 \), therefore \( 7400+\square+2500=10000 \) D) \( \square \div 5=1000 \), therefore \( \square \times 5=5000 \)

Sure, let's solve each of the provided equations step by step to find the value of the square ( □ ). --- ### a) **Given:** \[ 500 - 150 = 350 \] \[ \square + 150 = 500 \] **Solution:** \[ \square + 150 = 500 \\ \square = 500 - 150 \\ \square = 350 \] **Answer:** □ = **350** --- ### b) **Given:** \[ 12 \times \square = 96 \] \[ 96 \div 8 = \square \] **Solution:** 1. From \( 12 \times \square = 96 \): \[ \square = \frac{96}{12} = 8 \] 2. From \( 96 \div 8 = \square \): \[ \square = 12 \] **Note:** There seems to be a confusion in the second equation's setup. Assuming it's part of the same problem, the primary solution from the first equation is more consistent. **Answer:** □ = **8** --- ### c) **Given:** \[ 3000 + 8000 = \square \] \[ 11000 - \square = 8000 \] **Solution:** 1. From \( 3000 + 8000 = \square \): \[ \square = 11000 \] 2. From \( 11000 - \square = 8000 \): \[ \square = 11000 - 8000 = 3000 \] **Answer:** - First □ = **11,000** - Second □ = **3,000** --- ### d) **Given:** \[ 5000 + 200 + 4000 = \square \] \[ 9200 - \square - 5000 = 4000 \] **Solution:** 1. From \( 5000 + 200 + 4000 = \square \): \[ \square = 5000 + 200 + 4000 = 9200 \] 2. From \( 9200 - \square - 5000 = 4000 \): \[ 9200 - 5000 - 4000 = \square \\ \square = 200 \] **Answer:** - First □ = **9,200** - Second □ = **200** --- ### e) **Given:** \[ 90 \times \square = 2700 \] \[ 2700 \div 30 = \square \] **Solution:** 1. From \( 90 \times \square = 2700 \): \[ \square = \frac{2700}{90} = 30 \] 2. From \( 2700 \div 30 = \square \): \[ \square = 90 \] **Note:** Similar to part b, there's a discrepancy. The primary solution from the first equation is consistent. **Answer:** □ = **30** --- ### (1) **Given:** \[ 4200 \div 60 = \square \] \[ \square \times 70 = 4200 \] **Solution:** 1. From \( 4200 \div 60 = \square \): \[ \square = 70 \] 2. From \( \square \times 70 = 4200 \): \[ \square = \frac{4200}{70} = 60 \] **Answer:** - First □ = **70** - Second □ = **60** --- ### g) **Given:** \[ 2000 + 5000 + \square = 10500 \] \[ 10500 - 3500 - \square = 2000 \] **Solution:** 1. From \( 2000 + 5000 + \square = 10500 \): \[ 7000 + \square = 10500 \\ \square = 10500 - 7000 = 3500 \] 2. From \( 10500 - 3500 - \square = 2000 \): \[ 7000 - \square = 2000 \\ \square = 7000 - 2000 = 5000 \] **Answer:** - First □ = **3,500** - Second □ = **5,000** --- ### b) *(Second occurrence)* **Given:** \[ 30 \times 50 = \square \] \[ 1500 \div 50 = \square \] **Solution:** 1. From \( 30 \times 50 = \square \): \[ \square = 1500 \] 2. From \( 1500 \div 50 = \square \): \[ \square = 30 \] **Answer:** - First □ = **1,500** - Second □ = **30** --- ### i) **Given:** \[ 10000 - \square - 100 = 7400 \] \[ 7400 + \square + 2500 = 10000 \] **Solution:** 1. From \( 10000 - \square - 100 = 7400 \): \[ 9900 - \square = 7400 \\ \square = 9900 - 7400 = 2500 \] 2. From \( 7400 + \square + 2500 = 10000 \): \[ 9900 + \square = 10000 \\ \square = 10000 - 9900 = 100 \] **Answer:** - First □ = **2,500** - Second □ = **100** --- ### D) **Given:** \[ \square \div 5 = 1000 \] \[ \square \times 5 = 5000 \] **Solution:** 1. From \( \square \div 5 = 1000 \): \[ \square = 1000 \times 5 = 5000 \] 2. From \( \square \times 5 = 5000 \): \[ \square = \frac{5000}{5} = 1000 \] **Answer:** - First □ = **5,000** - Second □ = **1,000** --- **Summary of Solutions:** | Part | Value of □ | |------|------------| | a) | 350 | | b) | 8 | | c) | 11,000 and 3,000 | | d) | 9,200 and 200 | | e) | 30 | | (1) | 70 and 60 | | g) | 3,500 and 5,000 | | b) | 1,500 and 30 | | i) | 2,500 and 100 | | D) | 5,000 and 1,000 | If you have any specific part you'd like to delve deeper into or if there's a particular question about these solutions, feel free to ask!