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.

​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

Fill in the Blanks

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

Fill in the Blanks

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

Fill in the Blanks

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

Fill in the Blanks