Integers Operations Integers Operations with a -with a -

Integers with a -Integers with a -

To solve integer problems with a -, To solve integer problems with a -, addadd the the opposite of the second integer (the opposite of the second integer (the subtrahend). The subtrahend is the subtrahend). The subtrahend is the integer being subtracted.integer being subtracted.

Examples:Examples: +8 8 − − +3 = 3 = +8 + ¯3 = 8 + ¯3 = +55

+9 9 − ¯5 = − ¯5 = +9 9 + + +5 = 5 = +1414

¯8 − ¯8 − +3 = ¯8 + ¯3 = ¯113 = ¯8 + ¯3 = ¯11

¯7 − ¯2 = ¯7 + ¯7 − ¯2 = ¯7 + +2 = ¯52 = ¯5

¯4 − ¯4 = ¯4 + ¯4 − ¯4 = ¯4 + +4 = 04 = 0

Now let’s talk about 0.Now let’s talk about 0.

ZeroZero subtracted from any integer is subtracted from any integer is that integer.that integer.

Example:Example:

+9 − 0 = 9 − 0 = +99

¯6 − ¯6 − 0 = ¯6 = ¯6

Integer RulesInteger Rules When you see a subtract sign you will add the When you see a subtract sign you will add the

opposite of the second integer.opposite of the second integer. Same signs – add and keep that signSame signs – add and keep that sign

ex: 5 – -8 = 5 + 8 = 13ex: 5 – -8 = 5 + 8 = 13ex: -5 – 8 = - 5 + -8 = - 13ex: -5 – 8 = - 5 + -8 = - 13

Different signs – subtract and use the larger Different signs – subtract and use the larger number’s signnumber’s sign

ex: -8 – -5 = - 8 + 5 = - 3ex: -8 – -5 = - 8 + 5 = - 3ex: 8 – 3 = 8 + - 3 = 5ex: 8 – 3 = 8 + - 3 = 5

Now let’s practiceNow let’s practice

1.1. -10 - -4 =-10 - -4 =

2.2. -4 - -9 =-4 - -9 =

3.3. +2 - +9 =+2 - +9 =

4.4. +6 - +7 =+6 - +7 =

5.5. -14 - -15 =-14 - -15 =

6.6. -10 - -14 =-10 - -14 =

7.7. -4 - +5 =-4 - +5 =

8.8. +6 - -3 =+6 - -3 =

9.9. -10 - -8 =-10 - -8 =

10.10.-16 - -6 =-16 - -6 =

-6+5

-7

-1

+1

+4-9

+9

-2

-10