Integers +/- lesson and practice

Integers

Integers are the set of whole numbers and their opposites.

Multiple Choice

What number is the opposite of -7?

• 0

• -7

• 7

• 10

Multiple Choice

• 5 $$>$$ -5

• 5 $$<$$ -5

• 5 $$=$$ -5

• 5 $$\ge$$ -5

Multiple Choice

• -9 $$<$$ -18

• -9 $$>$$ -18

• -9 $$\cong$$ -18

• -9 $$\le$$ -18

Multiple Choice

• -21 $$>$$ -17

• -21 $$\ge$$ -17

• -21 $$\le$$ -17

• -21 $$<$$ -17

Multiple Choice

• -12 $$=$$ 12

• -12 $$\ge$$ 12

• -12 $$<$$ 12

• -12 $$\cong$$ 12

Add/subtract Integers

Standard: 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram​.

​EQ: What ​are the steps to adding integers?

Adding Integers

Adding integers with same sign

The sum of two negative integers is always negative.

​

Ex. -5 + -10 = -15​

Two negative integers

The sum of two positive integers is always positive.​

​

Ex. 4 + 15 = 19​

Two positive integers

​3 Situations

​There are 3 different situations you might see when adding integers

​

​1.) Positive + Positive

​2.) Negative + Negative

​3.) Positive + Negative

Multiple Choice

-9 + 9

• 18
• -18
• 0
• 81

Multiple Choice

-10 + 4

• -14
• 14
• -6
• 6

Multiple Choice

14 - 19 =

• 14

• 19

• -5

• 5

​Negative + Negative

​This is JUST LIKE positive + positive, but your answer will be negative.

​

​-4 + (-5) = -9

​

​I have 4 BAD guys and 5 more BAD guys so now I have 9 BAD guys

​Positive + Positive

​This is the basic one.

​

​This is like 4 + 5 = 9

​

​You have 4 Good Guys and you get 5 MORE Good Guys to join your Good Guy Army.

​

​You just add them up and now you have 9 Good Guys.

​Negative + Negative

​You might see this type of question written a few different ways

​

​-2 + (-4) = -6​

​or

​-2 + -4 = -6

​or

​-2 -4 = -6

​

​Don't be scared. It's all the same.

Multiple Choice

A negative plus a negative will equal a ___________

• Positive

• Negative

• Zero

• Zero Pair

Multiple Choice

-10 + (-4)

• 6

• -6

• -14

• 14

Multiple Choice

-3 + (-5)

• -8

• -2

• 9

• 15

Multiple Choice

-5 - 3

• 2

• 8

• -8

• -2

Multiple Choice

-1 - 6

• -7

• -5

• -6

• -8

​Positive + Negative

​This is where it gets harder. If you have SOME positives and SOME negatives you need to figure out which you have more of.

​

​50 + (-60) = More negatives so answer will be negative

​

​-4 + 50 = More positives so answer will be positive

Multiple Choice

Will your answer be positive or negative?

274 - 899

• Positive

• Negative

Multiple Choice

Will your answer be positive or negative:

-58 + 99

• Positive

• Negative

​Positive + Negative

​Once you know whether your final answer is positive or negative, then you must subtract the number with the highest absolute value minus the number with the smaller absolute value.

​

​-50 + 20 = Answer will be negative

​​50 - 20 = 30

​

​Final answer = -30

Multiple Choice

4 + (-5)

• -1

• 1

• 9

• -9

Multiple Choice

-2 + 6

• 4

• 8

• -6

• -2

Multiple Choice

-42 + 42

• -42

• 0

• 84

• -84

Multiple Choice

11 + (-8)

• 6

• -5

• 3

• -19

Multiple Choice

21 + (-24)

• -5

• 45

• -3

• 15

Poll

How are feeling about +/- integers

• Need visuals and some support

• I'm starting to get it

• I think I'm doing awesome at it

• I can help someone else with it - I totally get it