Absolute Value and Comparing Integers

Poll

How was your weekend?

• Amazing!

• it was good

• It was ok

• ... not my best weekend

Agenda:

1) Check in

2) Previously... a review of integers and absolute value

3) Quizizz- let's see what we know

4) Google form review

5) Silent Ball or Dice Talk!

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​Learning Goal:

Given a quizizz lesson recap we will review and apply our knowledge to look at various scenarios involving integers and absolute value!

Integer and Absolute Value Review! 6th grade

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Integers Defined…

• the set of whole numbers and their opposites;

positive and negative numbers

The integer zero is neither positive nor negative

• two numbers the same distance away from

zero, on opposite sides of the number line, one
positive, the other negative.

-6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6

negative integers

positive integers

Integers

Opposite
Numbers

Note: A positive integer does not have to have a + sign.

For example, +3 and 3 are the same.

Entero: el conjunto de números enteros y sus opuestos;
números positivos y negativos

El entero cero no es ni positivo ni negativo

Números opuestos: dos números a la misma distancia del
cero, en lados opuestos de la recta numérica, uno positivo
y el otro negativo.

The Number Line

• The number line continues forever (to infinity) in both the positive and

negative directions – shown by arrows

• You can draw any part of the number line but should draw equal

intervals

• La recta numérica continúa para siempre (hasta el infinito) tanto en la

dirección positiva como en la negativa, que se muestra con flechas.

• Puede dibujar cualquier parte de la recta numérica, pero debe dibujar

intervalos iguales

***by 1’s, 2’s, 5’s, 10’s etc.

-15 -10 -5 0 5 10 15 20 25 30

Integers in the Real World

Now we will see how integers are used in the real

world by classifying integers as positive or negative

and will describe the meaning of zero.

Ahora veremos cómo se usan los números enteros
en el mundo real clasificándolos como positivos o
negativos y describiremos el significado del cero.

Key Words
Positive Neutral. Negative

Up

Above
Ahead
North
East

Deposit

Gain
Profit
Future
Height

Down
Below
Behind
South
West
Withdrawal
Loss
Debt
Past
Depth

Sea Level
Takeoff/Liftoff
Start
Begin
Line of Scrimmage
Tie
Present
Elevation

Arriba
Arriba
Adelante
Norte
Este
Depósito
Ganar
Lucro
Futuro
Altura

El nivel del mar
Despegue / Despegue
comienzo
Empezar
Línea de scrimmage
Atar
Presente
Elevación

Abajo
Abajo
Detrás
Sur
Oeste
Retiro
Pérdida
Deuda
Pasado
Profundidad

​Integers are all whole numbers and their opposites.

This does not include any fractional values, decimals percents or irrational numbers.

What is an integer?

Positive integers are all integers greater than zero and are to the right of zero on a number line.

Negative intergers are all integers less than zero and are to the left of zero on the number line.

Positive VS Negative

Neither! It is not positive and it is not negative.

​Is zero Positive or negative?

Multiple Choice

Which of the following are not integers?

• 9

• 0

• -890

• 1.2578

​When the signs are different positive integers will always be greater than 0 and negative integers.

In general the farther to the right on a number line a number is the greater it is. ​

Comparing integers!

​When the signs are the same, look at which value is further to the right on a numberline .

Comparing integers!

Multiple Choice

What inequality symbol would make the statement true?

-5_ -9

• >

• <

• =

Multiple Choice

What inequality symbol would make the statement true?

-3_ 2

• >

• <

• =

Multiple Choice

What inequality symbol would make the statement true?

0_ -1

• >

• <

• =

Multiple Choice

Evaluate each expression.
| 9 |

• 0.9

• 9

• -9

• 90

Multiple Choice

What's a way to define absolute value?

• The value of a number

• The opposite of a number

• The distance of a number from zero

• The multiplicative inverse of a number

Multiple Choice

The absolute value of |3| is 0.

• True

• False

Multiple Choice

Which answer has the integers in order from least to greatest?

• − 9,   -5,  -3, 0,  4,  3

• − 9,   -5,  -3, 0,  3,  4

• − 5,   -9,  -3, 0,  4,  3

•  3, 4, 0, -3, -5, -9

Multiple Choice

Mary is swimming 5 feet below the surface. Which integer represents Mary's location?

• -5 feet

• 5 feet

Multiple Choice

Keri has overdrawn her account $-25.00 and Misty has overdrawn her account $-30.00. Who has more money?

• Michelle

• Keri

Multiple Select

Select all answers that could represent a negative integer.

• deposit

• discount

• withdraw

• below zero

Multiple Select

Select all words that could be used to describe a positive integer.

• below the surface

• above sea level

• earned

• deposit