Intro to Integers & Adding Lesson

Intro to Integers & Addition Lesson

Let's Recap what we've learned so far in this unit!

Poll

How are you doing today?

• Great, let's have a great day!

• Doing okay, nothing to complain about.

• Could be better, but I suppose could be worse too.

• Meh.

• Not that great, hoping things start to change.

A number line is usually labeled with integers, but all rational numbers (fractions and decimals) can still be plotted!

Multiple Choice

What is an integer?

• A whole number

• A fraction

• A negative number only

• Negative and positive whole number and 0

Multiple Choice

What integers are less than 0? 

• Negative numbers 
• no numbers are less than 0 
• all numbers 
• positive numbers 

Multiple Choice

What kind of numbers are greater than 0? 

• Positive numbers 
• Negative numbers 
• All numbers 
• No numbers 

Multiple Choice

• 4/5

• 3/4

• 3/1

• 1/3

Multiple Choice

What decimal is represented at point B?

• 0.4

• 0.5

• 4

• 0.04

Multiple Choice

What decimal represents point L on the number line?

• 0.5

• 0.3

• 5

• .05

Multiple Choice

The distance between a number and zero on a number line is also called

• opposites

• integers

• absolute value

• rational numbers

Multiple Choice

Which number is closest to 0 on a number line?

• -10
• -14
• -15

Remember numbers further to the left are less than those to the right!

Multiple Choice

Order the following from least to greatest.
-1,-2,-16,0

• 0,-1,-2,-16
• -16,-2,-1,0
• 0,-16,-1,-2

Multiple Choice

List the integers graphed on the number line from least to greatest.

• -4, 0, 2, 5
• -5, -4, -3, -2, -1
• -5, -3, 0, 3, 5
• 5, 2, 0, -4

Multiple Choice

Order from least to greatest:  -5, -17, 3, 0 

• 3, 0, -5, -17
• 3, 0, -17, -5
• -17, -5, 0, 3
• -5, -17, 0, 3

Opposites

The same number with opposite signs

- Have the same distance to zero

ex) The opposite of 7 is -7

Multiple Choice

The opposite of -25

• 25

• -25

• 0

Multiple Choice

opposite of 20

• 20

• 0

• -20

Absolute Value

The distance a number is from zero on the number line

- Always expressed as a positive number

- uses | | as the symbols

ex) |-4| = 4 & |4| = 4

Multiple Choice

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

• -2, I8I, 5, I-10I, 6
• -2, 5, 6, I8I, I-10I
• -2, 5, 6, 8, 10
• I-10I, -2, 5, 6. I8I

Multiple Choice

Compare|-5| to the |-10|

• |-5| > |-10|
• |-5| = |-10|
• |-5| < |-10|

Multiple Choice

What is the absolute value of | -7 |?

• -7
• 7
• -7 and 7

Multiple Choice

What is the absolute value of  - | 15 |?

• -15
• 15
• 0
• no answer

Multiple Choice

Select the true statement

• |-220| = -220 and 220
• -|220|=  220
• |-220|= 220
• |-220|= -220

Multiple Choice

What is the absolute value of |55|?

• -55
• 45
• 55
• --55

Adding Integers with the same signs

• SSS

• Same Sign Sum

• Add the integers and keep the sign the same

• Ex1: 6 + 3 = 9

• Ex2: -6 + (-3) = -9

Adding Integers with different signs

• DSD

• Different Sign Difference

• Subtract the integers

• Keep the sign of the number that looks largest

• Ex1: 14 + (-3) = 11

• Ex2: -14 + (3) = -11

Multiple Choice

-23 + 51

• -74
• 28
• 41
• 51

Multiple Choice

-22 + (-9)

• -11
• -31
• 11
• 31

Multiple Choice

2 + (-21) 

• 19
• -19
• -23
• 23

Multiple Choice

-8 + 3

• -11
• -5
• 5
• 11

Multiple Choice

-3 + 12

• -15
• -9
• 9
• 15

Multiple Choice

-7 + -4

• -11
• -3
• 3
• 11

Multiple Choice

0 + -7

• -7
• 0
• 3
• 7

Multiple Choice

-2 + 9

• -11
• -7
• 7
• 11

Multiple Choice

(-40) + (-39)

• 1
• -1
• 79
• -79

Multiple Choice

33 + (-38)

• -5
• 5
• 71
• -71

Word Problems

• Look for words that may indicate a positive or negative value

• Positive: Above, deposits, gain, increased, won

• Negative: Below, withdraw, owe, decreased, lose

• Sea level is 0

• & there are many more!

Multiple Choice

Bob lost 5 points on page one of his math test and he lost 9 points on page two of his math test.  Which equation best describes Bob progress on his math test?

• 5 + 9 = 14
• -5 + -9 = -4
• -5 + -9 = -14
• 5 + -9 = -4

Multiple Choice

Mark and Sally went to the mall. Mark borrowed $2 from Sally for lunch.Then, he gave Sally $17 for a new t-shirt. How much does Sally have to pay in debt?

• 19
• 15
• -19
• -15

Multiple Choice

Larry has $150 in his bank account. He deposits $27 and then writes a check for $96 and a check for $31. How much money is now in his account?

• $304
• $50
• $-4

Multiple Choice

Jack and Jill are going up a hill. They walk 15 feet up. Then Jack drops the bucket so they have to chase it 12 feet down. After getting the bucket, they sprint up the hill 5 feet because of a swarm of bees. Jill then decides she is too tired to make the rest of the trip. How far did they make it?

• 32 feet
• 8 feet
• 22 feet
• -2 feet

Multiple Choice

A butterfly is 6 feet above sea level. It flies 45 up until a hungry bird chases the butterfly 49 feet down. Where is the butterfly compared to where it started?

• 2 feet above sea level
• 2 feet below sea level
• 100 feet above sea level
• 10 feet below sea level

Poll

How do you feel after doing this lesson?

• Doing great!

• It helped me understand a little bit more.

• I still am not sure exactly what I should be doing for some questions

• I am having trouble with this unit.