Adding 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

• What are opposites?

  • Two integers that are the same distance from zero on the number line but are on opposite sides of zero.

  ​

• Two integers that are opposites are also called additive inverses.The sum of any number and its additive inverse or opposite is zero.

• What are some situations that would be considered additive inverses?

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

Multiple Choice

Solve

-3 + -2

• 5

• 6

• -6

• -5

Multiple Choice

Solve 6 + 3

• 9

• -9

• 3

• -3

Multiple Choice

-1 + -8

• 9

• -9

• 7

• -7

Multiple Choice

-35 + -49

• -14

• 14

• -84

• 84

Zero Pair

A positve number paired with a negative number results in zero when added together.

​Example: -45 + 45 = 0

​

​ What is another name for zero pairs?

​

Opposites

​Adding Integers with different signs

​To add integers with different signs, subtract their absolute values and take the sign of the larger number.

​

Example: -65 + 25 = -40

​

Solve: -3 + 4 14 + -25 -94 + 36 18 + -75 -13 + 91​

​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Solve

7 + -1

• 8

• -6

• 6

• -8

Multiple Choice

Solve:

25 + -63

• 88

• -88

• 38

• -38

Multiple Choice

Solve:

23 + -11

• -12

• 12

• 34

• -34

Song to remember adding integers:

(Sung to the tune of row row row your boat)​

​“Same sign, add and keep,

Different sign subtract.

Take the sign of the higher number,

Then you’ll be exact.”

Some text here about the topic of discussion

Adding Integers on a Number Line:

​How to add numbers on a number line:

Place a circle on the number line to represent the first number in the problem

Since the operation is adding, the second number will tell you how far to move and which direction to move.

A positive second number means you should move to the right.

A negative second number means you should move to the left.

The number you end on is the answer.

Subject | Subject

Multiple Choice

Using the number line solve:

-5 + 4

• 1

• -1

• 9

• -9

Multiple Choice

Using the number line solve:

-1 + -3

• 4

• 2

• -4

• -2