Adding and Subtracting of Integers

First, in order to master this skill
you will need to change the way you think!

Try NOT to think about adding and subtracting.
Instead, think only about

COMBINING !

 

In these two expressions,
imagine that you are:

COMBINING
intergers with the same signs.

Expression 1
Expression 2

The Order of Operations
demands that you combine the integers
IN ORDER.
Expression 1
Expression 2

1. These expressions contain integers with difference signs. You will have to combine the integers, IN ORDER.

 

Expression 1
Expression 2

2. The first two integers in both expressions have different signs (+ and -),
so
get the difference (subtract them)
and give the result the sign of the number with the largest absolute value.

Expression 1
Expression 2

3. In expression 1, the first two integers have the same sign, so you must get the sum and give the result the same sign (+).

In expression 2, the first two integers have different signs, so you must get the difference and give it the sign of the number with the greater absolute value (+).

Expression 1
Expression 2

4. In expression 1, the two remaining integers have different signs, so you must get the difference and give it the sign of the number with the greater absolute value (+).

In expression 2, the two remaining integers have different signs, so you must get the difference and give it the sign of the number with the greater absolute value (+).

Expression 1
Expression 2

5. Your work should look this when you have completed simplifying the expressions.

Expression 1
Expression 2

 

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