Integers and Integer Operations

In terms of negative and positive integers… What does it mean for someone to have 5 dollars in their pocket? Would those 5 dollars be negative or positive? What does it mean for someone to owe money? Would this amount of owed money be positive or negative?

“Money Doesn’t Grow on Trees” John owes $3, Virginia owes $5 but Alex doesn't owe anything, in fact he has $3 in his pocket. Place these people on the number line to find who is poorest and who is richest. Having money in your pocket is positive. But owing money is negative. So John has "-3", Virginia "-5" and Alex "+3"

Actual Temperature ( 0 F) Wind-chill Temperature ( 0 F) You are working on a report about winter weather and you are studying the wind-chill temperature. The wind-chill temperature is a measure of how wind speed affects low temperatures and how the combination of wind and low temperature feels to a human being. You find a table of some wind-chill temperatures when the wind speed is 5 miles per hour. Wind Chill Temperatures

Actual Temperature ( 0 F) Wind-chill Temperature ( 0 F) What is the effect that the wind has on the actual temperature?

Plot the wind-chill temperatures On a number line, the values of integers increase as you move from left to right. Write the wind-chill temperatures in order from least to greatest. Actual Temperature ( 0 F) Wind-chill Temperature ( 0 F)

The wind chill temperature is F. When the wind speed is 15 miles per hour at the same actual temperature, the wind chill temperature is -9 0 F. Which wind chill temperature is higher?

The wind chill temperature is -4 0 F. When the wind speed decreases to 5 miles per hour, the wind chill temperature increases by 5 degrees. What is the wind chill temperature when the wind speed is 5 miles per hour?

How could you use a number line to add 4 and 7? Addition What does it mean to have 4 and 7?

Addition How could you use a number line to add -3 and 4? What does it mean to have -3 and 4?

Addition How could you use a number line to add -2 and -5? What does it mean to have -2 and -5?

Addition What does it mean to have -10 and 7? How could you use a number line to add -10 and 7?

Addition How could you use a number line to add -8 and 6? What does it mean to have -8 and 6?

Generally for Addition On a number line, move to the ________ when you add a positive integer. Why? On a number line, move to the ________ when you add a negative integer. Why?

How could you use a number line to subtract 4 from 8? Subtraction What does it mean to subtract 4 from 8?

Subtraction How could you use a number line to subtract 5 from -3? What does it mean to subtract 5 from -3?

Subtraction What does it mean to subtract 4 from 8? How could you use a number line to subtract-9 from -1?

Subtraction How could you use a number line to subtract-4 from -6? What does it mean to subtract -4 from -6?

Generally for Subtraction On a number line, move to the ________ when you subtract a negative integer. Why? On a number line, move to the ________ when you subtract a positive integer. Why?

Multiplication How can we represent 3(5) without using multiplication? A. 3(5) = (5) + (5) + (5) = 15

Multiplication How can we represent 3(-5) without using multiplication? B. 3(-5)= (-5) + (-5) + (-5)=

Multiplication How can we represent 4(-2) without using multiplication? D. 4(-2) = ( ) + ( ) + ( ) + ( ) =

Multiplication How can we represent 2(-1) without using multiplication? C. 2(-1) = (-1) + (-1) =

Division Find each quotient by writing related multiplication problem. A. 48/6 = ? because 6 x ? = 48?= _____ B. 48/-6 = ? because -6 x ? = 48?= _____ C. -48/6 = ? because 6 x ? = -48?= _____ D. -48/ -6 = ? because -6 x ? = -48?= _____

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