Unit 2: Addition

Topic A: Addition

Addition puts amounts together. The answer of addition is called the sum or the total.

The plus sign + means to add.

3 + 2 = 5 says three plus two equals five or three and two is five.

The sum is 5.

Exercise One

Check out your addition facts by doing this exercise as quickly as possible without counting. The highest total or sum (what the numbers add up to) for these number facts is 20. Check your work using the answer key at the end of the exercise. Then, make a list of any addition facts you do not know or which are slow – practice them. If you feel you need more practice, see your instructor.

  1. [latex]\begin{array}[t]{rr}&6 \\+& 7\\ \hline&13\end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&8\\+& 3\\ \hline&11\end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&4\\ +& 2\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&8\\ + &7 \\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&1\\ +& 2 \\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&6\\ +& 4 \\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&5\\ +& 8 \\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&2\\+& 5 \\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&7\\ + &6\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&0\\ +&3\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&9\\ + &7 \\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&7\\ +& 2 \\ \hline\\ \end{array}[/latex]

Answers to Exercise One

  1. 13
  2. 11
  3. 6
  4. 15
  5. 3
  6. 10
  7. 13
  8. 7
  9. 13
  10. 3
  11. 16
  12. 9

Addition of Larger Numbers

Use these steps to complete each addition question.

  • Step 1: Add the ones to the ones.
  • Step 2: Add the tens to the tens.
  • Step 3: Add the hundreds to the hundreds.
  • Step 4: Add the thousands to the thousands.
  • Step 5: Add the ten thousands to the ten thousands.

Example A: 23 + 56 =

Step 1: Add the ones to the ones. 3 ones + 6 ones = 9 ones

[latex]\begin{array}[t]{rr}&23\\+&56\\ \hline&9\end{array}[/latex]

Write the answer in line with the ones in the question.

Step 2: Add the tens. 2 tens + 5 tens = 7 tens

[latex]\begin{array}[t]{rr}&23\\+ &56\\ \hline&79\end{array}[/latex]

The sum of 23 + 56 = 79

Exercise Two

Find the sums. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&37\\+&42\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&55\\+&22\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&70\\+&17\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&27\\+&32\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&87\\+&12\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&33\\+&64\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&44\\+&50\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&34\\+&11\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&51\\+&23\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&12\\+&46\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&17\\+&21\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&70\\+&28\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&54\\+&23\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&62\\+&14\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&15\\+&12\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&45\\+&23\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&23\\+&64\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&53\\+&42\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&60\\+&23\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&49\\+&10\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&75\\+&13\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&58\\+&21\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&31\\+&28\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&24\\+&13\\ \hline\\ \end{array}[/latex]

Answers to Exercise Two

  1. 79
  2. 77
  3. 87
  4. 59
  5. 99
  6. 97
  7. 94
  8. 45
  9. 74
  10. 58
  11. 38
  12. 98
  13. 77
  14. 76
  15. 27
  16. 68
  17. 87
  18. 95
  19. 83
  20. 59
  21. 88
  22. 79
  23. 59
  24. 37

Exercise Three

Find the sums. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&32\\+&64\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&23\\+&54\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&61\\+&22\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&83\\+&11\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&32\\+&45\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&63\\+&33\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&75\\+&24\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&46\\+&12\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&44\\+&35\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&25\\+&42\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&41\\+&38\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&54\\+&45\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&25\\+&32\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&35\\+&42\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&32\\+&44\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&22\\+&14\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&57\\+&21\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&42\\+&54\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&34\\+&23\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&25\\+&42\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&13\\+&41\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&60\\+&25\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&34\\+&62\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&77\\+&21\\ \hline\\ \end{array}[/latex]

Answers to Exercise Three

  1. 96
  2. 77
  3. 83
  4. 94
  5. 77
  6. 96
  7. 99
  8. 58
  9. 79
  10. 67
  11. 79
  12. 99
  13. 57
  14. 77
  15. 76
  16. 36
  17. 78
  18. 96
  19. 57
  20. 67
  21. 54
  22. 85
  23. 96
  24. 98

To add three or more numbers together, use the following steps.

  • Step 1: Add the ones to the ones.
  • Step 2: Add the tens to the tens.
  • Step 3: Add the hundreds to the hundreds.
  • Step 4: Add the thousands to the thousands.
  • Step 5: Add the ten thousands to the ten thousands.

Example B: 24 + 52 + 73=

Step 1: Add the ones. 4 ones + 2 ones + 3 ones = 9 ones

[latex]\begin{array}[t]{rr}&24\\&52\\+&73\\ \hline&9\end{array}[/latex]

Step 2: Add the tens. 2 tens + 5 tens + 7 ten = 14 tens

[latex]\begin{array}[t]{rr}&24\\&52\\+&73\\ \hline&149\end{array}[/latex]

Exercise Four

  1. [latex]\begin{array}[t]{rr}&21\\&34\\+&44\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&11\\&61\\+&15\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&23\\&35\\+&41\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&20\\&43\\+&36\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&13\\&42\\+&34\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&33\\&64\\+&22\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&44\\&50\\+&24\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&37\\&42\\+&10\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&55\\&24\\+&30\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&82\\&17\\+&50\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&45\\&32\\+&52\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&70\\&21\\+&48\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&12\\&54\\+&62\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&25\\&61\\+&22\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&32\\&23\\+&94\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&33\\&55\\+&21\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&31\\&12\\+&85\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&41\\&31\\+&87\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&17\\&42\\+&50\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&56\\&31\\+&82\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&32\\&45\\+&51\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&24\\&65\\+&30\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&51\\&27\\+&41\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&22\\&14\\+&31\\ \hline\\ \end{array}[/latex]

Answers to Exercise Four

  1. 99
  2. 87
  3. 99
  4. 99
  5. 89
  6. 119
  7. 118
  8. 89
  9. 109
  10. 149
  11. 129
  12. 139
  13. 128
  14. 108
  15. 149
  16. 109
  17. 128
  18. 159
  19. 109
  20. 169
  21. 128
  22. 119
  23. 119
  24. 67

Exercise Five

Find the sums. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&32\\&53\\+&14\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&42\\&25\\+&11\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&24\\&81\\+&13\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&52\\&24\\+&63\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&54\\&23\\+&71\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&25\\&60\\+&84\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&41\\&32\\+&96\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&31\\&43\\+&85\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&15\\&52\\+&82\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&43\\&21\\+&52\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&81\\&16\\+&42\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&56\\&31\\+&92\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&37\\&12\\+&80\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&63\\&25\\+&70\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&70\\&24\\+&65\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&25\\&41\\+&73\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&41\\&66\\+&32\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&24\\&33\\+&62\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&52\\&45\\+&21\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&71\\&16\\+&42\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&64\\&12\\+&90\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&55\\&21\\+&43\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&26\\&61\\+&82\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&44\\&53\\+&31\\ \hline\\ \end{array}[/latex]

Answers to Exercise Five

  1. 99
  2. 78
  3. 118
  4. 139
  5. 148
  6. 169
  7. 169
  8. 159
  9. 149
  10. 116
  11. 139
  12. 179
  13. 129
  14. 158
  15. 159
  16. 139
  17. 139
  18. 119
  19. 118
  20. 129
  21. 166
  22. 119
  23. 169
  24. 128

Use these steps to complete each addition question.

  • Step 1: Add the ones to the ones.
  • Step 2: Add the tens to the tens.
  • Step 3: Add the hundreds to the hundreds.

Example C: 372 + 415

Step 1: Add the ones. 2 ones + 5 ones = 7 ones

[latex]\begin{array}[t]{rr}&372\\+&415\\ \hline& 7\end{array}[/latex]

Step 2: Add the tens. 7 tens + 1 ten = 8 tens

[latex]\begin{array}[t]{rr}&372\\+&415\\ \hline&87 \end{array}[/latex]

Step 3: Add the hundreds. 3 hundreds + 4 hundreds = 7 hundreds

[latex]\begin{array}[t]{rr}&372\\+&415\\ \hline&787 \end{array}[/latex]

Exercise Six

Find the sums. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&324\\+&865\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&514\\+&274\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&673\\+&326\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&603\\+&375\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&174\\+&922\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&250\\+&618\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&506\\+&182\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&514\\+&482\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&738\\+&510\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&321\\+&358\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&215\\+&584\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&416\\+&352\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&167\\+&522\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&315\\+&573\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&156\\+&732\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&713\\+&256\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&135\\+&564\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&105\\+&632\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&253\\+&644\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&535\\+&442\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&168\\+&421\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&834\\+&162\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&422\\+&361\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&327\\+&462\\ \hline\\ \end{array}[/latex]

Answers to Exercise Six

  1. 1189
  2. 788
  3. 999
  4. 978
  5. 1096
  6. 868
  7. 688
  8. 996
  9. 1248
  10. 679
  11. 799
  12. 768
  13. 689
  14. 888
  15. 888
  16. 969
  17. 699
  18. 737
  19. 897
  20. 977
  21. 589
  22. 996
  23. 783
  24. 789

Exercise Seven

Find the sums. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&754\\+&231\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&410\\+&257\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&653\\+&142\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&815\\+&170\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&243\\+&146\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&615\\+&303\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&124\\+&762\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&451\\+&206\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&705\\+&261\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&627\\+&512\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&357\\+&130\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&725\\+&273\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&753\\+&902\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&425\\+&203\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&652\\+&137\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&357\\+&132\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&675\\+&214\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&802\\+&254\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&524\\+&321\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&723\\+&306\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&243\\+&152\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&145\\+&213\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&262\\+&321\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&525\\+&131\\ \hline\\ \end{array}[/latex]

Answers to Exercise Seven

  1. 985
  2. 667
  3. 795
  4. 985
  5. 389
  6. 918
  7. 886
  8. 657
  9. 966
  10. 1139
  11. 487
  12. 998
  13. 1 655
  14. 628
  15. 789
  16. 489
  17. 889
  18. 1056
  19. 845
  20. 1029
  21. 395
  22. 358
  23. 583
  24. 656

To add three or more numbers together, use the following steps.

  • Step 1: Add the ones to the ones.
  • Step 2: Add the tens to the tens.
  • Step 3: Add the hundreds to the hundreds.

Example D: 372 + 415 + 210

Step 1: Add the ones. 2 ones + 5 ones + 0 ones = 7 ones

[latex]\begin{array}[t]{rr}&372\\&415\\+&210\\ \hline&7 \end{array}[/latex]

Step 2: Add the tens. 7 tens + 1 ten + 1 ten = 9 tens

[latex]\begin{array}[t]{rr}&372\\&415\\+&210\\ \hline&97 \end{array}[/latex]

Step 3: Add the hundreds. 3 hundreds + 4 hundreds + 2 hundreds = 9 hundreds

[latex]\begin{array}[t]{rr}&372\\&415\\+&210\\ \hline&997 \end{array}[/latex]

Exercise Eight

  1. [latex]\begin{array}[t]{rr}&345\\&132\\+&421\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&524\\&630\\+&721\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&305\\&131\\+&422\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&214\\&341\\+&932\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&821\\&324\\+&423\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&353\\&301\\+&624\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&435\\&201\\+&160\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&641\\&322\\+&833\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&132\\&254\\+&413\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&713\\&102\\+&860\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&245\\&321\\+&803\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&341\\&215\\+&840\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&524\\&243\\+&122\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&253\\&114\\+&321\\ \hline\\ \end{array}[/latex]
  15. [latex]\begin{array}[t]{rr}&272\\&315\\+&410\\ \hline\\ \end{array}[/latex]
  16. [latex]\begin{array}[t]{rr}&514\\&231\\+&620\\ \hline\\ \end{array}[/latex]
  17. [latex]\begin{array}[t]{rr}&246\\&351\\+&502\\ \hline\\ \end{array}[/latex]
  18. [latex]\begin{array}[t]{rr}&152\\&331\\+&216\\ \hline\\ \end{array}[/latex]
  19. [latex]\begin{array}[t]{rr}&164\\&233\\+&801\\ \hline\\ \end{array}[/latex]
  20. [latex]\begin{array}[t]{rr}&414\\&231\\+&552\\ \hline\\ \end{array}[/latex]
  21. [latex]\begin{array}[t]{rr}&362\\&627\\+&510\\ \hline\\ \end{array}[/latex]
  22. [latex]\begin{array}[t]{rr}&264\\&535\\+&600\\ \hline\\ \end{array}[/latex]
  23. [latex]\begin{array}[t]{rr}&432\\&653\\+&313\\ \hline\\ \end{array}[/latex]
  24. [latex]\begin{array}[t]{rr}&631\\&216\\+&552\\ \hline\\ \end{array}[/latex]

Answers to Exercise Eight

  1. 898
  2. 1875
  3. 858
  4. 1487
  5. 1568
  6. 1278
  7. 796
  8. 1796
  9. 799
  10. 1675
  11. 1369
  12. 1396
  13. 889
  14. 688
  15. 997
  16. 1365
  17. 1099
  18. 699
  19. 1198
  20. 1197
  21. 1499
  22. 1399
  23. 1398
  24. 1399

Did you Know?

Some people like to check their addition by adding a second time, starting with the bottom number instead of the top number. For example.

[latex]\begin{array}[t]{rr}&63\\&+35\\ \hline&98 \end{array}[/latex]

Add: [latex]\begin{array}[t]{r}3+5=8\\ 6+3=9\end{array}[/latex]

Check: [latex]\begin{array}[t]{r}5+3=8\\ 3+6=9\end{array}[/latex]

Exercise Nine

Find the sums. Check your addition a second time by starting at the bottom. Place a check mark (√) beside your answer after you have added from the bottom to the top. Check your work using the answer key at the end of the exercise.

  1. [latex]\begin{array}[t]{rr}&7\,003 \\+& 2\,692\\ \hline\\ \end{array}[/latex]
  2. [latex]\begin{array}[t]{rr}&6\,217\\+& 3\,732\\ \hline\\ \end{array}[/latex]
  3. [latex]\begin{array}[t]{rr}&2\,271 \\+& 3\,618\\ \hline\\ \end{array}[/latex]
  4. [latex]\begin{array}[t]{rr}&5\,992 \\+& 3\,006\\ \hline\\ \end{array}[/latex]
  5. [latex]\begin{array}[t]{rr}&4\,235 \\+& 1\,162\\ \hline\\ \end{array}[/latex]
  6. [latex]\begin{array}[t]{rr}&6\,518\\+& 2\,050\\ \hline\\ \end{array}[/latex]
  7. [latex]\begin{array}[t]{rr}&1\,023\\+& 1\,553\\ \hline\\ \end{array}[/latex]
  8. [latex]\begin{array}[t]{rr}&4\,034 \\+& 2\,853\\ \hline\\ \end{array}[/latex]
  9. [latex]\begin{array}[t]{rr}&5\,234\\+& 1\,244\\ \hline\\ \end{array}[/latex]
  10. [latex]\begin{array}[t]{rr}&41\,738\\+& 38\,051\\ \hline\\ \end{array}[/latex]
  11. [latex]\begin{array}[t]{rr}&20\,295\\+& 46\,503\\ \hline\\ \end{array}[/latex]
  12. [latex]\begin{array}[t]{rr}&62\,041 \\+& 12\,857\\ \hline\\ \end{array}[/latex]
  13. [latex]\begin{array}[t]{rr}&73\,104 \\+& 21\,620\\ \hline\\ \end{array}[/latex]
  14. [latex]\begin{array}[t]{rr}&40\,835 \\+& 25\,034\\ \hline\\ \end{array}[/latex]

Answers to Exercise Nine

  1. 9695
  2. 9949
  3. 5889
  4. 8998
  5. 5397
  6. 8568
  7. 2576
  8. 6887
  9. 6478
  10. 79789
  11. 66798
  12. 74898
  13. 94724
  14. 65869

If an addition question is written with the numbers side by side, rewrite the question in columns. Put the ones under the ones, the tens under the tens, the hundreds under the hundreds, and so on.

Example E: 263 + 25

[latex]\begin{array}[t]{rr}&263\\+&25\\ \hline &288\end{array}[/latex]

Example F: 316 + 9 560

[latex]\begin{array}[t]{rr}&316\\+&9560\\ \hline &9876\end{array}[/latex]

Exercise Ten

Rewrite each question in columns and find the total. Check your work using the answer key at the end of the exercise.

  1. 75 + 512
  2. 372 + 16
  3. 691 + 8
  4. 4 + 275
  5. 3457 + 112
  6. 2403 + 340
  7. 730 + 422 + 36
  8. 24 + 333 + 442
  9. 3000 + 24132 + 70534
  10. 34511 + 3012 + 40234

Answers to Exercise Ten

  1. 587
  2. 388
  3. 699
  4. 279
  5. 3569
  6. 2743
  7. 1188
  8. 799
  9. 97666
  10. 77757

Topic A: Self-Test

Mark /22 Aim 17/22

  1. Find the sums. Be sure to check your answers. (6 marks)
    1. [latex]\begin{array}[t]{rr}&63\\+&25\\ \hline\\ \end{array}[/latex]
    2. [latex]\begin{array}[t]{rr}&15\\+&72\\ \hline\\ \end{array}[/latex]
    3. [latex]\begin{array}[t]{rr}&43\\+&54\\ \hline\\ \end{array}[/latex]
    4. [latex]\begin{array}[t]{rr}&42\\&33\\+&14\\ \hline\\ \end{array}[/latex]
    5. [latex]\begin{array}[t]{rr}&34\\&22\\+&52\\ \hline\\ \end{array}[/latex]
    6. [latex]\begin{array}[t]{rr}&21\\&46\\+&72\\ \hline\\ \end{array}[/latex]
  2. Find the sums. Be sure to check your answers. (6 marks)
    1. [latex]\begin{array}[t]{rr}&421\\+&354\\ \hline\\ \end{array}[/latex]
    2. [latex]\begin{array}[t]{rr}&832\\+&162\\ \hline\\ \end{array}[/latex]
    3. [latex]\begin{array}[t]{rr}&956\\+&730\\ \hline\\ \end{array}[/latex]
    4. [latex]\begin{array}[t]{rr}&375\\&213\\+&611\\ \hline\\ \end{array}[/latex]
    5. [latex]\begin{array}[t]{rr}&211\\&351\\+&515\\ \hline\\ \end{array}[/latex]
    6. [latex]\begin{array}[t]{rr}&731\\&245\\+&312\\ \hline\\ \end{array}[/latex]
  3. Find the sums. Be sure to check your answers. (6 marks)
    1. [latex]\begin{array}[t]{rr}&4\,235\\+& 4\,730\\ \hline\\ \end{array}[/latex]
    2. [latex]\begin{array}[t]{rr}&6\,513\\+& 4\,182\\ \hline\\ \end{array}[/latex]
    3. [latex]\begin{array}[t]{rr}&8\,250\\+& 3\,647\\ \hline\\ \end{array}[/latex]
    4. [latex]\begin{array}[t]{rr}&51\,672\\+& 36\,124\\ \hline\\ \end{array}[/latex]
    5. [latex]\begin{array}[t]{rr}&25\,146\\+& 43\,503\\ \hline\\ \end{array}[/latex]
    6. [latex]\begin{array}[t]{rr}&42\,196\\+& 70\,301\\ \hline\\ \end{array}[/latex]
  4. Add these numbers. (4 marks)
    1. [latex]\begin{array}[t]{rr}&45 \\ &21\\+& 32 \\ \hline\\ \end{array}[/latex]
    2. [latex]\begin{array}[t]{rr}&242 \\&325\\+& 112 \\ \hline\\ \end{array}[/latex]
    3. [latex]\begin{array}[t]{rr}&8\,013 \\& 1\,246 \\+& 5\,430 \\ \hline\\ \end{array}[/latex]
    4. [latex]\begin{array}[t]{rr}&5\,214 \\ &40\,230 \\+& 2\,345\\ \hline\\ \end{array}[/latex]

Answers to Topic A Self-Test

    1. 88
    2. 87
    3. 97
    4. 89
    5. 108
    6. 139
    1. 775
    2. 994
    3. 1686
    4. 1199
    5. 1077
    6. 1288
    1. 8965
    2. 10695
    3. 11897
    4. 87796
    5. 68649
    6. 112497
    1. 98
    2. 679
    3. 14689
    4. 47789

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Adult Literacy Fundamental Mathematics: Book 2 – 2nd Edition Copyright © 2022 by Wendy Tagami and Liz Girard is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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