Page 53 - Basic College Mathematics with Early Integers

30 C HAPTE R 1 I THE WHOLE NUMBERS

Now we subtract the ones-place digits and then the tens-place digits.

711
8 1 Check: 18
– 6 3 ±63
1 8 11-3=8 81 The original minuend.
7-6=1

PRACTICE 3 Example 3 Subtract: 543 - 29. Check by adding.
Subtract. Check by adding. 3 13
Solution: 5 4 3 Check: 514
a. 697 – 2 9 ±29
- 49 5 1 4 543

Work Practice 3
b. 326
- 245
Sometimes we may have to borrow from more than one place. For example, to
subtract 7631 - 152, we first borrow from the tens place.
c. 1234
- 822 2 11
7 6 3 1

- 1 5 2

9 ; 11 - 2 = 9
In the tens place, 5 is greater than 2, so we borrow again. This time we borrow from
the hundreds place.

6 hundreds-1 hundred=5 hundreds
12
5 211 1 hundred+2 tens
7 6 3 1
or Check: 7479
– 1 5 2 10 tens +2 tens=12 tens
±152
7 4 7 9
7631 The original minuend.

PRACTICE 4 Example 4 Subtract: 900 - 174. Check by adding.

Subtract. Check by adding.
Solution: In the ones place, 4 is larger than 0, so we borrow from the tens place.
a. 400 But the tens place of 900 is 0, so to borrow from the tens place we must first
- 164 borrow from the hundreds place.
8 10
b. 1000 9 0 0
- 762 - 1 7 4

Now borrow from the tens place.

9
8 10 10
9 0 0 Check: 726
–1 7 4 ±174
7 2 6 900 Copyright 2012 Pearson Education, Inc.

Answers Work Practice 4
3. a. 648 b. 81 c. 412
4. a. 236 b. 238