Opposites
What is the opposite of the number 53?
-53
What is a factor?
Numbers that can be multiplied together to create a product.
What is the greatest common multiple of 6 and 8?
24
Miss Baker makes party bags. She has 24 small candy bars and 60 mints.
a. What is the greatest number of identical party bags that Miss Baker can make with all of the
candy bars and all of the mints?
12 party bags
How are positive and negative numbers alike?
They can extend infinitely. (never ending)
What is the opposite of the number -243?
243
What are the factors of 24?
1,2,3,4,6,8,12,24
What is the least common multiple of 12 and 44?
2
Sasha says that −(−25) (the opposite of the opposite of 25) is equal to −25. Julie disagrees and says that −(−25) is equal to 25. Who is correct? Explain.
Julie is correct. −(−25) is the opposite of the opposite of 25, which is 25.
How are positive and negative numbers different?
Positive numbers are greater than 0. Negative numbers are less than 0.
What is the opposite of 0?
Zero
(4,9) or (4,12)
(4,9)
Is 63 a multiple of 7?
Yes
A scuba diver dives 7 1/3 yards below the water’s surface. Write the rational number that represents this situation.
-7 1/3 yards
What is the relationship between any number and its opposite?
A nonzero number and its opposite are the same distance from 0 on a number line, but they are on opposite sides of 0.
What does this mean?
- (-8)?
The opposite of the opposite of 8
What is the greatest common factor of 8 and 12?
4
Is the number 124 a multiple of 6?
No
Ms. Bogan climbs Mount Everest 19 3/4 feet above sea level. Write the rational number that represents this situation.
19 3/4 feet
How are rational numbers like integers?
Both integers and rational numbers include both positive and negative numbers and can be plotted on a number line.
What is the definition of the term "opposite"?
Two numbers that are an equal distance away from zero.
What is the greatest common factor of 12 and 16?
4
What is the greatest common multiple of 24 and 30?
6
Eddie dives into a pool from a diving board 55 feet above the water’s surface. At the deepest part of his dive, Eddie is 10 feet below the water’s surface. Write a number to represent Eddie’s location below the water’s surface at the deepest part of his dive.
-10
What is a rational number?
A rational number is a number that can be represented as a fraction or as the opposite of a fraction.