Integers, Graphing, and Absolute Value

Integers, Graphing, and Absolute Value

By KAZU HOSHINO

Draw

Study the number line. What do you notice?

Integers include:

​

• positive whole numbers

• negative whole numbers

• zero

• opposites are numbers that are the same distance from zero in opposite directions​

​

Multiple Select

Which of the following is NOT an integer? Choose all that apply.

• 4.2

• 16

• 0

• -15

Multiple Select

Which of the following is NOT an integer? Choose all that apply.

• $$\frac{3}{10}$$  

• -9,999

• 0

• -15.3

Multiple Select

Identify the opposite of 13.

•  -13

• $$\frac{1}{13}$$  

• -31

• 31

Multiple Select

Identify the opposite of -45.

•  -4.5

• $$\frac{1}{45}$$  

• 45

• 4.5

Draw

Finish graphing the integers

Draw

Graph the set of integers {-3, 0, -2, 4}

Open Ended

What are some examples, besides math class, where we might see/use positive and negative integers?

​Some text here about the topic of discussion.

Integers to represent different situations & the meaning of zero

The high temperature yesterday has 24 degrees. This is 17 degrees below the average high temperature in January.

​

Integer: -17

​

Zero represents the average high temperature which is 41, not 0. ​

An account balance is the amount of money present in a financial repository, such as a savings or checking account, at any given moment.

​

Deposit: Putting money into an account (de-positive)

​

Withdrawal: Removing money from an account (negative)​

A $48 deposit into a savings account.

​

Integer: 48

​

Zero represents $0 deposited or withdrawn.

A $90 withdrawal from a savings account.

​

Integer: -90

​

Zero represents $0 deposited or withdrawn.

Open Ended

Write an integer for 21 degrees below zero. Explain the meaning of zero in this situation.

Open Ended

Write an integer for a gain of $5 per share. Explain the meaning of zero in this situation.

Open Ended

Write an integer for 120 meters below sea level. Explain the meaning of zero in this situation.

Open Ended

Which balloon moved the most?

Open Ended

Which balloon moved the least?

Open Ended

What does zero represent in this situation?

Open Ended

What do you notice about balloons B and D

Draw

Complete.

Draw

C

Multiple Choice

Compare using <, >, =

4 -4

• <

• >

• =

Multiple Choice

Compare using <, >, =

4 |-4|

• <

• >

• =

Multiple Choice

Compare using <, >, =

-15 |15|

• <

• >

• =

Multiple Choice

Compare using <, >, =

15 |-25|

• <

• >

• =

Draw

Fill in the blank to make the inequality true.

Draw

Fill in the blank to make the inequality true.

Draw

Fill in the blank to make the inequality true.

Draw

Fill in the blank to make the inequality true.

Draw

Evaluate.

Draw

Evaluate.

Draw

Evaluate.

Draw

Evaluate.