Adding Integers

​Warm-up

1/11/22​

Multiple Choice

What is $$\frac{1}{2}\$$   as a decimal?

• 0.5

• 0.1

• 0.2

Multiple Choice

Evaluate.

9 x 3

• 18

• 27

• 9

Multiple Choice

What operation is done first in the expression $$18\div6\times3-4$$  

• Subtraction

• Multiplication

• Division

Multiple Choice

When plotting addition expressions on a number line, always start at ________.

• the first number in the expression

• zero

• the last number in the expression

Adding Integers

1/11/2022

​Adding Integers Using Number Lines

• ​Integers can be added using a number line

• ​When adding positive integers we move to the right in the positive direction.

• ​When adding negative integers we move to the left in the negative direction.

• ​The numerical expressions and the answers can be visual represented on the number line.

Multiple Choice

What is the expression represented by the number line?

• $$4+\left(-4\right)$$  

• $$0+\left(-4\right)$$  

• $$-4+4$$  

• $$4+\left(-8\right)$$  

Multiple Choice

What is the expression represented by the number line?

• $$10-0$$  

• $$0+10$$  

• $$6+4$$  

• $$0+6$$  

Multiple Choice

What expression is represented by the number line?

• $$7+\left(-15\right)$$  

• $$15+\left(-7\right)$$  

• $$-15+7$$  

• $$-8+7$$  

Multiple Choice

What expression is represented by the number line?

• $$-2+8$$  

• $$0+\left(-10\right)$$  

• $$-8+\left(-2\right)$$  

• $$2+8$$  

Multiple Choice

What expression is represented by the number line?

• $$-3+6$$  

• $$3+6$$  

• $$-3+3$$  

• $$6+3$$  

Multiple Choice

What expression is represented by the number line?

• $$-7+\left(-7\right)$$  

• $$0+\left(-7\right)$$  

• $$7+7$$  

• $$7+\left(-7\right)$$  

Multiple Choice

Whawt number is represented by the number line?

• $$-5+11$$  

• $$-11+\left(-5\right)$$  

• $$-5+6$$  

• $$6+5$$  

Multiple Choice

What operation do we do in this expression 9 + (-13)?

• Addition

• Subtraction

Multiple Choice

What operation do we do in the expression -8 + 3?

• Addition

• Subtraction

Multiple Choice

When adding a negative integer and a positive integer, we are really ________

• Adding

• Subtracting

Multiple Choice

What operation do we do in the expression -5 + -4?

• Addition

• Subtraction

Multiple Choice

What operation do we do in the expression -13 + (-4)?

• Addition

• Subtraction

Multiple Choice

When adding integers with the same sign, we are really _________

• Adding

• Subtracting

​Adding Integers Review

• ​When adding integers with the same sign, add and keep the sign of the integers.

• ​When adding integers with different signs, subtract. The greater number determines the sign.

Fill in the Blanks

Evaluate.

-3 + 7

Fill in the Blanks

Evaluate.

3 + 9

Fill in the Blanks

Evaluate.

-9 + -3

Fill in the Blanks

Evaluate.

-7 + 7

Fill in the Blanks

Evaluate.

-8 + 7

Fill in the Blanks

Evaluate.

2 + (-10)

Fill in the Blanks

Evaluate.

-7 + (-8)

Fill in the Blanks

Evaluate.

-12 + 13

​Adding Integers Using Counters

​We can use counters to add integers as well.

​Counters can represent positive and negative numbers.

​

​= -1

​= +1

​The representation of these two counters together is a zero pair.

​Zero Pairs

​Opposite numbers

​Always add up to zero

​You can add them to any system and they represent the number zero.

Multiple Choice

What number is represented by the counters?

• 2

• 1

• 0

• -1

Multiple Choice

What number is represented by the counters?

• 2

• 1

• 0

• -1

Multiple Choice

What number is represented by the counters?

• 2

• 1

• 0

• -1

​

​Counters can be used to create numeric expressions

​For example:

​Creating Expressions with Counters

​= 3 + (-2)

Zero pair

How many zero pairs are in the expression?

​

What is the answer?​

​Counters can be used to create numeric expressions

​For example:

​

​

​Creating Expressions with Counters

​= 5 + (-1)

Zero pair

How many zero pairs are in the expression?

​

What is the answer?​

​

​

​Counters can be used to create numeric expressions

​For example:

​Creating Expressions with Counters

​= 4 + (-4)

Zero pair

How many zero pairs are in the expression?

​

What is the answer?​

Multiple Choice

What is the expression represented in the picture? TYPE THE EXPRESSION WITH NO SPACES. EX. 3+2

Red= -1, yellow = +1

• 4 + 5

• 4+ (-5)

• -5+0

• 5+ (-4)

Fill in the Blanks

How many zero pairs are in the expression? TYPE ONE NUMBER ONLY.

Fill in the Blanks

After removing the zero pairs, what is left? That number is the answer. TYPE YOUR ANSWER WITH NO SPACES. FOR EXAMPLE, -5 or 4

Multiple Choice

What is the expression represented in the picture? TYPE THE EXPRESSION WITH NO SPACES. EX. 3+2

Red= -1, yellow = +1

• 3+2

• 3+0

• 2+(-3)

• 3+(-2)

Fill in the Blanks

How many zero pairs are in the expression? TYPE ONE NUMBER ONLY.

Fill in the Blanks

After removing the zero pairs, what is left? That number is the answer. TYPE YOUR ANSWER WITH NO SPACES. FOR EXAMPLE, -5 or 4

Multiple Choice

What is the expression represented in the picture? TYPE THE EXPRESSION WITH NO SPACES. EX. 3+2

Red= -1, yellow = +1

• 1+(-3)

• 3+(-1)

• 1+0

• -1+3

Fill in the Blanks

How many zero pairs are in the expression? TYPE ONE NUMBER ONLY.

Fill in the Blanks

After removing the zero pairs, what is left? That number is the answer. TYPE YOUR ANSWER WITH NO SPACES. FOR EXAMPLE, -5 or 4

Multiple Choice

What is the expression represented in the picture? TYPE THE EXPRESSION WITH NO SPACES. EX. 3+2

Red= -1, yellow = +1

• 4 +0

• 3 +(-4)

• 4+3

• 4+(-3)

Fill in the Blanks

How many zero pairs are in the expression? TYPE ONE NUMBER ONLY.

Fill in the Blanks

After removing the zero pairs, what is left? That number is the answer. TYPE YOUR ANSWER WITH NO SPACES. FOR EXAMPLE, -5 or 4