Computation with Real Numbers 21
You subtract signed numbers by changing the subtraction problem to an
addition problem in a special way, so that you can apply the rules for addi-
tion of signed numbers. Here is the rule.
Subtraction of Signed Numbers
Rule 4. To subtract two numbers, keep the fi rst number and add the
opposite of the second number.
To apply this rule, think of the minus sign, −, as “add the opposite of.” In
other words, “subtracting a number” and “adding the opposite of the num-
ber” give the same answer.
Problem Change the subtraction problem to an addition problem.
a. −− 35 60
b. 35 − 60
c. 60 − 35
d. −−^35 ()−^60
e. 060
f. −− 60 0
Solution
a. −− 35 60
Step 1. Keep − 35.
− 35
Step 2. Add the opposite of 60.
=− 35 +− 60
b. 35 − 60
Step 1. Keep 35.
35
Step 2. Add the opposite of 60.
=+ 35 − 60
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