1. Subtraction
Page

2. Subtracting Larger Numbers
Pages 37 – 38
Subtracting Larger Numbers
Parts of a Subtraction Problem
6 minuend
-2  subtrahend
4  difference
Subtract the column at the right first, & then move to the next column to the left. Continue until you have subtracted each column of figures.
To check a subtraction problem, add the answer to the bottom number of the original problem. The sum should be the top number of the original problem.

3. Example Pages 37 – 38 Subtract & Check 1) 34 – 22 2) 874,395 – 211,243
1) 34
– 22
2) 874,395
– 211,243 12
663,152

4. Group Work Pages 37 – 38 Subtract & Check 1) 916 2) 567 – 503 –356
1) ) 567
– –356
3) 9,161 4) 5,467
–5, –3,245
5) 255,694 6) 860,956
–241, –360,224
413
211
4,130
2,222
14,240
500,732

5. Subtracting & Borrowing
Pages 39 – 43
Subtracting & Borrowing
When a digit in the subtrahend (the bottom number) is too large to subtract from the digit above it, you have to borrow from the next column to the left in the minuend (the top number). Borrowing is sometimes called regrouping or renaming.
Sometimes you have to borrow more than once in the same problem.

6. Example Pages 39 – 43 Subtract & Check. 1) 67 –8 2) 685,978 –498,369
2) 685,978
–498,369 59
187,609

7. Group Work Pages 39 – 43 Subtract & Check. 1) 2,328 2) 3,633
1) 2,328 2) 3,633
–1, – 794
3) 7,792 4) 9,113
–4, –2,058
5) 7,488 6) 8,233
–2, –7,148
839
2,839
2,963
7,055
4,989
1,085

8. Subtracting Numbers Written Horizontally
Page 44
Subtracting Numbers Written Horizontally
When the numbers you want to subtract are not in vertical columns, rewrite them with the larger number on top.
Make sure that you line up the units under the units, the tens under the tens, & so on.
Always line up the units column first.

9. Example Page 44 Subtract & Check. 7,522 – 971 = 15, 697 – 14, 938 =
6,551
755

10. Group Work Page 44 Subtract & Check. 9,330 – 827 = 5,942 – 307 =
6,752 – 4,397 =
24,143 – 5,048 =
43,524 – 22,685 =
8,503
5,635
2,355
19,095
20,839

11. Subtracting from Zeros
Pages 45 – 48
Subtracting from Zeros
You cannot borrow from zeros.
When the digit in the column you want to borrow from is zero, move to the next column to the left that does not contain a zero.

12. Example Pages 45 – 48 Subtract & check 205 – 86 = 40,000 – 6,417 = 119
33583

13. Group Work Pages 45 – 48 Subtract & Check. 5,020 – 438 = 1,006 – 307 =
9,004 – 2,916 =
50,002 – 23,875 =
8,000 – 927 =
4582
699
6088
26127
7073

14. Subtraction Shortcuts
Page 49
Subtraction Shortcuts
When the subtrahend (the number you subtract from another number) ends in zero, you can subtract in your head.
Any number minus zero is that number.
Sometimes you can change a subtraction problem to a similar problem that is easier to subtract.

15. Page 49
Example
Rewrite each problem as a similar problem with a subtrahend (the bottom number) that ends in zero. Remember to add to both numbers in the problem. Then subtract the new numbers.
83 – 26 =
131 – 47 = 57 84

16. Page 49
Group Work
Rewrite each problem as a similar problem with a subtrahend (the bottom number) that ends in zero. Remember to add to both numbers in the problem. Then subtract the new numbers.
92 – 45 =
96 – 38 =
104 – 88 =
71 – 35 =
85 – 56 =
64 – 19 = 47 58 16 36 29 45

17. Applying Your Subtraction Skills
Pages 52 – 56
Applying Your Subtraction Skills
Pay close attention to the language that tells you to subtract.
Watch for words such as difference, balance, how many more, how much larger, & how much change.
Line up money problems carefully.