1. The problem asks us to describe compensation to add or subtract, give examples to teach Grade 4 learners, illustrate numbers with base 10 blocks, test divisibility, and use a place value chart. 2. Compensation means adjusting one number to make the calculation easier and then compensating by adjusting the other number. 3. Compensation to add example: Example: Calculate $47 + 38$ by compensating. Step 1: Adjust 38 to 40 (add 2 to 38). Step 2: Add 47 + 40 = 87. Step 3: Since we added 2 extra, subtract 2 from 87. Step 4: Final answer is $87 - 2 = 85$. Teaching tip: Show children that making numbers round helps addition, then fix the difference. 4. Compensation to subtract example: Example: Calculate $63 - 27$ by compensating. Step 1: Adjust 27 to 30 (add 3 to 27). Step 2: Subtract 63 - 30 = 33. Step 3: Since we added 3 to 27, add 3 back to 33. Step 4: Final answer is $33 + 3 = 36$. Teaching tip: Explain that adjusting the subtractor makes subtraction easier; then add back the adjustment. 5. Illustration using base 10 blocks: 5.1 For 101, show 1 hundred block, 0 ten blocks, 1 one block. 5.2 For 1436, show 1 thousand block, 4 hundred blocks, 3 ten blocks, 6 one blocks. 6. Test divisibility of 1,264,032: - Divisible by 2: last digit is 2 (even), so divisible by 2. - Divisible by 3: sum digits $1+2+6+4+0+3+2=18$; 18 divisible by 3, so divisible by 3. - Divisible by 11: alternate sum difference $(1+6+0+2) - (2+4+3)=9-9=0$; 0 divisible by 11, so number divisible by 11. 7. Place value chart for 16,745: Ten thousands: 1 Thousands: 6 Hundreds: 7 Tens: 4 Ones: 5 Final answers: 3.1 Compensation explained with examples in steps. 3.2 Base 10 blocks illustration for 101 and 1436. 3.3 Divisible by 2, 3, and 11: Yes to all. 3.4 Place value shown for 16,745.