Opposites, absolute value, & adding integers

What is true about opposites? ​ ​ (a)  

• They are on the same side of zero
• They are the same distance away from zero.
• They are not really opposites

The opposite of a negative is always a(n) ___________

• positive
• negative
• absolute value
• inequality

What is the opposite of  -11?

Mathematical Equivalence

ON

How do you know that 5 and -5 are opposites? 

• Because they both have a 5 
• They are the same distance from 0 and on opposite sides of 0 
• Because they are the same 
• They both are on a number line 

Which wrestler's weight change is the opposite of Luis? ​ (a)  

• Tino
• Victor
• Ramsey
• Baxter

| -5 | =

Mathematical Equivalence

ON

John is comparing the distances of different cities from his hometown. The distances are as follows: -19 miles, 6 miles, -45 miles, -32 miles, and 18 miles. The negative sign indicates the city is in the opposite direction. Order these distances in terms of their absolute values from least to greatest.

​ ​

Simplify. |18 - 9|

• 18

• 9

• 27

• -9

Which has the same absolute value as -55?

• 0
• -1
• 1
• 55

What is the reason that absolute value is always written as a positive?

• Absolute value is talking about numbers so it must be positive.
• Absolute value does not always have to be positive.
• Absolute value is like a clock it has only positive numbers.
• Absolute value is talking about distance, distance is always measured by positive numbers.