This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the addition problems: 1a) 109 \\ + 21 \\ 130 The sum is 130. 1b) 87 \\ + 108 \\ 195 The sum is 195. 1c) 480 \\ + 179 \\ 659 The sum is 659. 1d) 216 \\ + 29 \\ 245 The sum is 245. 2a) Step 1: Add the hundredths column: 2 + 9 = 11. Write down 1, carry over 1. Step 2: Add the tenths column: 9 + 1 + 1 (carry-over) = 11. Write down 1, carry over 1. Place the decimal point. Step 3: Add the ones column: 0 + 6 + 1 (carry-over) = 7. Step 4: Add the tens column: 5 + 1 = 6. Step 5: Add the hundreds column: 6 + 0 = 6. 650.92 \\ + 16.19 \\ 667.11 The sum is 667.11. 2b) Step 1: Add the hundredths column: 5 + 5 = 10. Write down 0, carry over 1. Step 2: Add the tenths column: 3 + 3 + 1 (carry-over) = 7. Place the decimal point. Step 3: Add the ones column: 2 + 7 = 9. Step 4: Add the tens column: 9 + 6 = 15. Write down 5, carry over 1. Step 5: Add the hundreds column: 4 + 2 + 1 (carry-over) = 7. 492.35 \\ + 267.35 \\ 759.70 The sum is 759.70. 2c) Step 1: Add the hundredths column: 6 + 5 = 11. Write down 1, carry over 1. Step 2: Add the tenths column: 2 + 8 + 1 (carry-over) = 11. Write down 1, carry over 1. Place the decimal point. Step 3: Add the ones column: 1 + 9 + 1 (carry-over) = 11. Write down 1, carry over 1. Step 4: Add the tens column: 1 + 4 + 1 (carry-over) = 6. Step 5: Add the hundreds column: 7 + 0 = 7. 711.26 \\ + 49.85 \\ 761.11 The sum is 761.11. 2d) Step 1: Add the hundredths column: 9 + 7 = 16. Write down 6, carry over 1. Step 2: Add the tenths column: 6 + 8 + 1 (carry-over) = 15. Write down 5, carry over 1. Place the decimal point. Step 3: Add the ones column: 9 + 4 + 1 (carry-over) = 14. Write down 4, carry over 1. Step 4: Add the tens column: 1 + 1 + 1 (carry-over) = 3. Step 5: Add the hundreds column: 0 + 2 = 2. 19.69 \\ + 214.87 \\ 234.56 The sum is 234.56. 3a) Step 1: Add the hundredths column: 5 + 4 + 5 = 14. Write down 4, carry over 1. Step 2: Add the tenths column: 3 + 1 + 4 + 1 (carry-over) = 9. Place the decimal point. Step 3: Add the ones column: 2 + 3 + 4 = 9. Step 4: Add the tens column: 4 + 1 + 2 = 7. Step 5: Add the hundreds column: 2 + 4 + 0 = 6. 242.35 \\ 413.14 \\ + 24.45 \\ 679.94 The sum is 679.94. 3b) Step 1: Add the hundredths column: 2 + 5 + 7 = 14. Write down 4, carry over 1. Step 2: Add the tenths column: 4 + 1 + 1 + 1 (carry-over) = 7. Place the decimal point. Step 3: Add the ones column: 7 + 2 + 3 = 12. Write down 2, carry over 1. Step 4: Add the tens column: 3 + 3 + 9 + 1 (carry-over) = 16. Write down 6, carry over 1. Step 5: Add the hundreds column: 0 + 1 + 0 + 1 (carry-over) = 2. 37.42 \\ 132.15 \\ + 93.17 \\ 262.74 The sum is 262.74. 3c) Step 1: Add the hundredths column: 3 + 9 + 2 = 14. Write down 4, carry over 1. Step 2: Add the tenths column: 1 + 2 + 8 + 1 (carry-over) = 12. Write down 2, carry over 1. Place the decimal point. Step 3: Add the ones column: 2 + 8 + 6 + 1 (carry-over) = 17. Write down 7, carry over 1. Step 4: Add the tens column: 4 + 4 + 5 + 1 (carry-over) = 14. Write down 4, carry over 1. Step 5: Add the hundreds column: 7 + 2 + 0 + 1 (carry-over) = 10. 742.13 \\ 248.29 \\ + 56.82 \\ 1047.24 The sum is 1047.24. 3d) Step 1: Add the hundredths column: 7 + 1 + 5 = 13. Write down 3, carry over 1. Step 2: Add the tenths column: 2 + 8 + 0 + 1 (carry-over) = 11. Write down 1, carry over 1. Place the decimal point. Step 3: Add the ones column: 5 + 0 + 4 + 1 (carry-over) = 10. Write down 0, carry over 1. Step 4: Add the tens column: 1 + 1 + 9 + 1 (carry-over) = 12. Write down 2, carry over 1. Step 5: Add the hundreds column: 1 + 3 + 1 + 1 (carry-over) = 6. 115.27 \\ 310.81 \\ + 194.05 \\ 620.13 The sum is 620.13. Send me the next one 📸