1. deposit
2. above sea level
3. gain
4. rise
Positive numbers
What is the opposite of −7?
7
Compare using <,>, or =:
−5 [ ] −2
< (−5 is further to the left on the number line).
What integer represents a loss of 12 yards in a football game?
-12
If you start at −6 on a number line and move 9 units to the right, what number do you land on?
3
Solve this expression: |−7|+|−3|
10
What is the absolute value of ∣−15∣?
15
*remember absolute value is the distance from 0*
Compare using <,>, or =:
|−8| [ ] 8
= (since the absolute value of −8 is 8).
What is the opposite of the opposite of 9?
-9
Leo went on an elevator in a tall building. He started on the 4th floor, went down 7 floors to visit an office, and then went up 5 floors to see a friend. What floor did Leo end up on?
Start at 4.
Go down 7 floors: 4−7=−3 (the 3rd floor below ground).
Go up 5 floors: −3+5=2.
Leo ended up on the 2nd floor.
Identify the integer represented by this phrase: A withdrawal of $45 from an account.
-45
What integer is located in the exact middle between −4 and 4?
0
Compare using <,>, or =:
−3.5 [ ] −3.2
< (with negative decimals, −3.5 is "lower" or further left than −3.2).
If you walk forward 5 steps and then walk backward 5 steps, what integer represents your total displacement from where you started?
0
Name two real-world words or phrases that represent a negative sign.
- Loss
- Decrease
- Below
- Owe/ Debt
- Withdraw
-Spend
-Drop
-Fall
-Below zero
-Lower
- Descend
- Reduced by
- Take away
f you start at −3 on a number line and move 7 units to the right, what integer do you land on?
4.
Order these integers from least to greatest: 4,−7,0,−3,2.
−7,−3,0,2,4
True or False: Zero is a positive integer.
False. 0 is neither positive or negative.
True or False:
The absolute value of a number can sometimes be a negative number.
False (distance can never be negative!).
Imagine you and your friend stand at 0 on a long sidewalk.
You walk 5 steps forward to the right. You traveled a distance of 5 steps.
Your friend walks 5 steps backward to the left.
Even though your friend went in the "negative" direction (left), the distance they traveled is still a positive amount. You can't take −5 steps, and a ruler can't be −12 inches long. In real life, you can't have a negative amount of space or distance—you either moved a certain amount, or you didn't move at all (0).
That's why absolute value is always positive (or zero)—because distance is always positive
Write an integer to represent each of the following scenarios.
A climber ascending 300 meters up a mountain.
A valley located 45 meters below sea level.
300
Which has a greater absolute value: −25 or 20?
−25 (because ∣−25∣=25, which is greater than 20).
Which temperature is warmer: −14∘F or −12∘F?
−12∘F (it is higher/greater than −14).
Integers are like whole numbers EXCEPT no ____ and ____ allowed.
fractions and decimals
Which temperature is colder:
−15∘F or −8∘F?
−15∘F (it is further away from zero on the negative side).