Identifying Integers and Their Opposites

Unit 1 Review

Identifying Integers and their opposites

Comparing & ordering integers

Absolute Value

Greatest Common Factor

Least Common Multiple

Rational Numbers: identifying their opposites & absolute values

Inequalities

• Greater than >

• Less than <

• Inequalities open towards the greater quantity

• The closer a negative is to zero, the more value it has

Multiple Choice

Roberto is the weather person for his morning announcements at Homestetter Middle School. During his report he stated, "Thursday was colder than Friday because -2 < -10. " Is Roberto correct?

• Yes, -10 > -2

• No, -2 > -10

• The correct answer is not listed

Multiplying negatives

• -(1) = -1 x 1 = -1

• When you have the negative on the outside of the parentheses, give the negative a value of 1 to make it -1

• The default operation is to multiply

Multiple Choice

Which number line shows the correct placement for this expression:

-(-6)

Using a number line

• Positives are on one side

• Negatives are on the opposite side of the positives

• 0 is Neutral, it is not positive or negative

• 0 is referred to as sea level when using geographic elevations

Multiple Choice

A diver went 27 feet down into the Pacific Ocean. What integer represents that dive & sea level?

• -27 for the dive, 0 for sea level

• 27 for the dive, 0 for sea level

• 0 for the dive, -27 for sea level

• The correct answer is not listed

Multiple Choice

What is the value of point B? Hint* each dash mark represents 1/5th on a number line.

• -1 & 3/5

• -1 & 1/5

• 1 & 2/5

• The correct answer is not listed

Multiple Choice

What is the opposite of point C?

• -1 & 1/5

• 1 & 1/5

• -(-1 & 1/5)

• the correct answer is not listed

Multiple Choice

From 0, the farther a number goes to the right of 0 the greater it's value gets.

Also, the farther left a number goes from 0 the less value it has.

• True

• False

Absolute Value

• Absolute value measures the distance to zero

• Absolute Value will always be positive since it measures distance

• Find the absolute value of a number when it looks like this |-2|

• Example | -1 | = 1, |2| = 2

Multiple Choice

Which value from the picture has the greatest absolute value?

• H

• F

• G

• J

Open Ended

Describe if each location is above or below sea level.

Campground -812 feet ______ sea level

Gas Station 1,629 feet ________ sea level

Gift Shop 3,000 feet ______ sea level

Visitor Center -196 feet ________ sea level

Least Common Multiple

• Multiples are the results from multiplying by an integer

• When two or more numbers have a multiple in common they are known as shared multiples

• The smallest multiple they share is the least common multiple, or LCM

Multiple Choice

The elementary school lunch menu repeats every 12 days while the middle school menu repeats every 5 days. Both schools are serving pizza today. In how many days will both schools serve pizza again?

• 35 days

• 60 days

• 70 days

• 125 days

The Distributive Property

• In the expression, factor out the GCF

• Find a factor both 5 and 15 share

• A factor is a number that can evenly divide into another

• Both 5 and 15 share a factor of 5. It is the largest factor they share, so it is the GCF

Multiple Choice

The greatest common factor in the expression is 5. Both numerical terms were reduced using the GCF. Which expression below shows this?

• 7(5+10)

• 5(5+8)

• 5(6+9)

• 5(7+10)