Page 51 - Basic College Mathematics with Early Integers
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Objectives 1.4 SUBTRACTING WHOLE NUMBERS
Subtract Whole Numbers.
Solve Problems by Subtracting Objective Subtracting Whole Numbers
Whole Numbers.
If you have $5 and someone gives you $3, you have a total of $8, since 5 + 3 = 8.
Similarly, if you have $8 and then someone borrows $3, you have $5 left. Subtraction
is finding the difference of two numbers.
8
3 5
8 - 3 = 5
æ æ æ
minuend subtrahend difference
In this example, 8 is the minuend, and 3 is the subtrahend. The difference between
these two numbers, 8 and 3, is 5.
Notice that addition and subtraction are very closely related. In fact, subtrac-
tion is defined in terms of addition.
8 - 3 = 5 because 5 + 3 = 8
This means that subtraction can be checked by addition, and we say that addition
and subtraction are reverse operations.
PRACTICE 1
Example 1 Subtract. Check each answer by adding.
Subtract. Check each answer by
adding. a. 12 - 9 b. 22 - 7 c. 35 - 35 d. 70 - 0
a. 14 - 6
Solution:
b. 20 - 8
c. 93 - 93 a. 12 - 9 = 3 because 3 + 9 = 12
d. 42 - 0 b. 22 - 7 = 15 because 15 + 7 = 22
c. 35 - 35 = 0 because 0 + 35 = 35
d. 70 - 0 = 70 because 70 + 0 = 70
Work Practice 1
Look again at Examples 1(c) and 1(d).
1(c) 35-35=0 1(d) 70-0=70
same difference a number difference is the Copyright 2012 Pearson Education, Inc.
number is 0 minus 0 same number
Answer
1. a. 8 b. 12 c. 0 d. 42 These two examples illustrate the subtraction properties of 0.
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