Unit 3: Subtraction
Topic D: Subtraction with Borrowing
When you subtract, the digit that you are taking away may be larger than the top digit in that same column. You must borrow from the column on the left. First, let’s look at two examples using the place value shapes.
Example A: 243 − 128 =
Step 1: 3 ones − 8 ones cannot be done
Borrow one ten and rename it as ten ones. Add the ten ones to the three ones.
Now you can subtract: 13 ones − 8 ones = 5 ones
Step 2: Subtract the tens. 3 tens − 2 tens = 1 ten
Step 3: Subtract the hundreds. 2 hundreds − 1 hundred = 1 hundred
Here is the question using numerals.
Example B: 350 − 124 =
Step 1: 0 ones − 4 ones cannot be done
Borrow one ten and rename it as ten ones.
10 ones − 4 ones = 6 ones
Step 2: 4 tens − 2 tens = 2 tens
Step 3: 3 hundreds − 1 hundred = 2 hundreds
This is how the question looks using numerals.
Exercise One
You may need to borrow 1 ten and rename it as 10 ones to do these subtractions. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}&53\\-&16\\ \hline &37 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&82\\-&45\\ \hline&37 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&37\\-&9\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&28\\-&4\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&63\\-&7\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&54\\-&5\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&25\\-&7\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&84\\-&6\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&45\\-&15\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&40\\-&38\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&45\\-&20\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&70\\-&21\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&645\\-&26\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&258\\-&14\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&786\\-&47\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&895\\-&29\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&747\\-&109\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&642\\-&420\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&438\\-&215\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&953\\-&838\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&532\\-&314\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&795\\-&238\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&956\\-&348\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&574\\-&218\\ \hline \\ \end{array}[/latex]
Answers to Exercise One
- 37
- 37
- 28
- 24
- 56
- 49
- 18
- 78
- 30
- 2
- 25
- 49
- 619
- 244
- 739
- 866
- 638
- 222
- 223
- 115
- 218
- 557
- 608
- 356
To check your subtraction, add the answer (the difference) to the number you took away. If your subtracting was correct, the result of the adding will equal the number you started with in the subtraction question.
Example C: 726 − 317
Difference: [latex]\begin{array}[t]{r}726\\-317\\ \hline 409\end{array}[/latex]
To check, add 409 to 317
[latex]\begin{array}[t]{r} 409\\+317\\ \hline 726\end{array}[/latex]
Exercise Two
You may need to borrow 1 ten and rename it as 10 ones to do these subtractions. Use the method for checking your answer beside each question. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}&42\\-&5\\ \hline &37 \end{array}[/latex] check: [latex]\begin{array}[t]{rr}&37\\+&5\\ \hline &42 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&83\\-&6\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&91\\-&7\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&70\\-&4\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&64\\-&37\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&32\\-&16\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&65\\-&16\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&98\\-&39\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&775\\-&49\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&974\\-&26\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&483\\-&75\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&896\\-&57\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&785\\-&627\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&961\\-&543\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&941\\-&319\\ \hline \\ \end{array}[/latex] check:
- [latex]\begin{array}[t]{rr}&850\\-&434\\ \hline \\ \end{array}[/latex] check:
Answers to Exercise Two
- 37
- 77
- 84
- 66
- 27
- 16
- 49
- 59
- 726
- 948
- 408
- 839
- 158
- 418
- 622
- 416
Use this same method of borrowing when you subtract the hundreds, thousands, ten thousands, and so on. Look at the place value shapes as you work through these examples.
Example D: 225 − 162
Step 1: 5 ones − 2 ones = 3 ones
Step 2: 2 tens − 6 tens (can’t be done)
Borrow one hundred and rename it as 10 tens which you add onto the 2 tens.
12 tens − 6 tens = 6 tens
Step 3: 1 hundred – 1 hundred = 0 hundreds
Note: The 0 in the hundreds is not needed in the answer (063) because it is the first digit and does not have to hold the place.
Example E: 331 − 145
Step 1: 1 one − 5 ones (can’t be done)
Borrow 1 ten and rename it as 10 ones which you add onto the 1 one.
11 ones − 5 ones = 6 ones
Step 2: 2 tens − 4 tens (can’t be done)
Borrow one hundred and rename it as 10 tens which you add onto the 2 tens.
Step 3: 2 hundreds − 1 hundred = 1 hundred
Exercise Three
Subtract the following. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}& 286\\-&138\\ \hline& 148 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 481\\-&225 \\ \hline& 256 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 390\\-&135\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 734\\-&582\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 281\\-&175\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 925\\-&68\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 260\\-&154\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 379\\-&235\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 532\\-&290\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 82\\-&79\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 262\\-&39\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 427\\-&183\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 452\\-&173\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 692\\-&473\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 634\\-&273\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 465\\-&374\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 785\\-&147\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 937\\-&258\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 946\\-&463\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 734\\-&208\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 563\\-&154\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 782\\-&254\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 621\\-&442\\ \hline \\ \end{array}[/latex]
Answers to Exercise Three
- 148
- 256
- 255
- 152
- 106
- 857
- 106
- 144
- 242
- 3
- 223
- 244
- 279
- 219
- 361
- 91
- 638
- 679
- 483
- 526
- 409
- 528
- 179
Exercise Four
Subtract the following. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}&776\\-&382\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&426\\-&327\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&957\\-&234\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 845\\-&416\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&967\\-&173\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&406\\-&257\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&857\\-&143\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&757\\-&129\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&567\\-&182\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&952\\-&278\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&863\\-&389\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&689\\-&434\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&754\\-&526\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&572\\-&493\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&714\\-&588\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&795\\-&497\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&390\\-&256\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&745\\-&649\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&639\\-&484\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&811\\-&173\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&678\\-&290\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&740\\-&272\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&983\\-&876\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&839\\-&653\\ \hline \\ \end{array}[/latex]
Answers to Exercise Four
- 394
- 99
- 723
- 429
- 794
- 149
- 714
- 628
- 385
- 674
- 474
- 255
- 228
- 79
- 126
- 298
- 134
- 96
- 155
- 638
- 388
- 468
- 107
- 186
Now work through this example, where you must also rename one thousand as ten hundreds to do the subtraction.
Example F: 3 245 − 1 678
Step 1: Subtract the ones.
Step 2: Subtract the tens.
Step 3: Subtract the hundreds.
Step 4: Subtract the thousands and check.
Exercise Five
Find the differences. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}&4\, 295\\-& 724\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&8\, 281 \\-& 470\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&5\, 564 \\-& 644\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&6\, 382\\-& 882\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&8\, 513 \\-& 829\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&3\, 527 \\-& 758\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&3\, 154\\-& 205\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&2\, 640 \\-& 834\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&7\, 355 \\-& 4\, 038\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&5\, 189 \\-& 2\, 348\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&4\, 289 \\-& 2\, 534\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&6\, 753\\-& 1\, 942\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&8\, 684\\-& 2\, 916\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&7\, 459 \\-& 3\, 927\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&8\, 360\\-& 6\, 376\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&9\, 418 \\-& 4\, 739\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&75\, 762\\-& 9\, 351\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&72\, 641\\-& 8\, 736\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&16\, 793\\-& 7\, 325\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&12\, 533\\-& 9\, 362\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&72\, 209\\-& 9\, 786\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&34\, 092 \\-& 4\, 538\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&42\, 126 \\-& 24\, 762\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}&52\, 750 \\-& 14\, 789\\ \hline \\ \end{array}[/latex]
Answers to Exercise Five
- 3571
- 7811
- 4920
- 5500
- 7684
- 2769
- 2949
- 1806
- 3317
- 2841
- 1755
- 4811
- 5768
- 3532
- 1984
- 4679
- 66411
- 63905
- 9468
- 3171
- 62423
- 29554
- 17364
- 37961
Exercise Six
Find the differences. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}& 4\,262 \\-& 2\, 738 \\ \hline& 1\, 524 \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3 \,236 \\-& 1\, 594\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 4\, 697 \\-& 3\, 268\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 8 \,321 \\-& 4\, 543\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 2\, 831 \\-& 289\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5\, 623 \\-& 3\, 352\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 8 \,428 \\-& 6\, 309\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 9 \,629\\-& 7\, 258\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5 \,230\\-& 2 \,456\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3 \,682 \\-& 963\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 29\, 285 \\-& 18\, 357\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 43\, 325 \\-& 3\, 187\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 81\, 328 \\-& 22\, 595\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 58\, 234 \\-& 23\, 678\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 28\, 243\\-& 9 \,578\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3\, 245 \\-& 1\, 678\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 6\, 254 \\-& 1 \,733\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5\, 214 \\-& 1 \,783\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 23\, 244 \\-& 15\, 534\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 16\, 121 \\-& 12\, 768\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 53\, 507 \\-& 14 \,421\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 31\, 582 \\-& 14 \,413\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 71\, 629 \\-& 12 \,350\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 44\, 610 \\-& 13 \,071\\ \hline \\ \end{array}[/latex]
Answers to Exercise Six
- 1524
- 1642
- 1429
- 3778
- 2542
- 2271
- 2119
- 2371
- 2774
- 2719
- 10928
- 40138
- 58733
- 34556
- 18665
- 1567
- 4521
- 3431
- 7710
- 3353
- 39086
- 17169
- 59279
- 31539
Zeroes in Subtracting
You will have subtraction questions with a zero in the place that you want to borrow from. You have to do a double borrowing. Look carefully at the example.
Example G: 2 405 − 368 =
Step 1: 5 ones – 8 ones (can’t be done)
Borrow one ten – whoops – no tens!
Borrow one hundred and rename it as 10 tens…
Now, borrow a ten. 15 ones − 8 ones = 7 ones
Step 2: 9 tens − 6 tens = 3 tens
Step 3: 3 hundreds − 3 hundreds = 0 hundreds
Step 4: 2 thousands − no thousands = 2 thousands
Exercise Seven
Find the differences. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}& 102\\-&23\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 508\\-&39\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 804\\-&37\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 607\\-&48\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 406\\-&178\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 302\\-&218\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 203\\-&157\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 601\\-&296\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 2\, 075\\-&436\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3\, 076\\-&594\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 4\, 037\\-&289\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 6\, 032\\-&764\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 4\, 057 \\-& 2\, 049\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 6\, 035 \\-& 2\, 634\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 9\, 025 \\-& 4\, 603\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5\, 075 \\-& 2\, 364\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 50\, 398\\-& 4\, 247\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 40\, 683 \\-& 3 \,162\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 50\, 216 \\-& 5 \,183\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 60\, 831 \\-& 7\, 081\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 40\, 465 \\-& 21\, 528\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 30 \,429 \\-& 14\, 953\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 70\, 543 \\-& 37\, 835\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 80\, 106 \\-& 47\, 297\\ \hline \\ \end{array}[/latex]
Answers to Exercise Seven
- 79
- 469
- 767
- 559
- 228
- 84
- 46
- 305
- 1639
- 2482
- 3748
- 5268
- 2008
- 3401
- 4422
- 2711
- 46151
- 37521
- 45033
- 53750
- 18937
- 15476
- 32708
- 32809
Exercise Eight
Find the differences. Check your work using the answer key at the end of the exercise.
- [latex]\begin{array}[t]{rr}& 400\\-&197\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 307\\-&138\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 800\\-&475\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 608\\-&439\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 307\\-&168\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 200\\-&99\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 400\\-&43\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 208\\-&126\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3\, 000\\-& 2\, 678\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 7\, 205 \\-& 2\, 306\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 2\, 048 \\-& 281\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 6\, 005\\-& 2 \,368\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5\, 000 \\-& 3 \,468\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 4 \,006 \\-& 2 \,179\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 3 \,007 \\-& 1 \,930\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 2 \,007 \\-& 237\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 43\, 004 \\-& 2 \,873\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 20\, 038 \\-& 9 \,156\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 60 \,125 \\-& 8 \,421\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 40 \,063 \\-& 2 \,734\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 70 \,059 \\-& 38 \,423\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 80 \,062 \\-& 35 \,087\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 90 \,035 \\-& 68 \,746\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 60 \,063 \\-& 55 \,895\\ \hline \\ \end{array}[/latex]
Answers to Exercise Eight
- 203
- 169
- 325
- 169
- 139
- 101
- 357
- 82
- 322
- 4899
- 1767
- 3637
- 1532
- 1827
- 1077
- 1770
- 40131
- 10882
- 51704
- 37329
- 31636
- 44975
- 21289
- 4168
If a subtraction question has 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, etc.
Example H: 5 625 − 2 468
Exercise Nine
Rewrite each question in columns and find the difference. Check your work using the answer key at the end of the exercise.
- 5042 − 3185
- 8042 − 6368
- 2630 − 95
- 1201 − 159
- 34582 − 6121
- 44610 − 4527
- 54507 − 13421
- 7050 − 2144
- 71629 − 12350
- 64182 − 28934
Answers to Exercise Nine
- 1857
- 1674
- 2535
- 1042
- 28461
- 40083
- 41086
- 4906
- 59279
- 35248
Topic D: Self-Test
Mark /15 Aim 11/15
- Find the differences. Be sure to check your answers using addition. (12 marks)
- [latex]\begin{array}[t]{rr}& 71\\-&32\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 704\\-&325\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 400\\-&208\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 8\,923\\-& 3\, 061\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 5\, 211\\-& 4 \,390\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 8 \,204 \\-& 3 \,461\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 9 \,074 \\-& 5 \,482\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 8 \,092 \\-& 6 \,578\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 49\, 053\\-& 8\, 954\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 86 \,502 \\-& 6 \,590\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 47 \,293 \\-& 26\, 349\\ \hline \\ \end{array}[/latex]
- [latex]\begin{array}[t]{rr}& 73 \,050 \\-& 27\, 455\\ \hline \\ \end{array}[/latex]
- Subtract. (3 marks)
- 5302 − 3981 =
- 7043 − 95 =
- 6000 − 989 =
Answers to Topic D Self-Test
-
- 39
- 379
- 192
- 5 862
- 821
- 4743
- 3592
- 1514
- 40099
- 79912
- 20944
- 45595
- 1321
- 6948
- 5011