Integers
integer = 8, -8
not integer = 8.5 or 1/2
| - 3|
3
A diver starts 10 feet below the surface and swims 8 feet further down. Write and simplify an expression to find his final location.
-10 - 8 = -10 + -8 = -18 feet or 18 feet below the surface
State | 8 - 5| as a distance statement.
What is the distance between 8 and 5?
What is a rational number? Provide an example.
Any number, positive or negative, that can be written as a fraction. 1/3 or -2.5
7 and -7 are an example of what?
a zero pair OR opposites
| 3 |
3
Ms. Kesten has a $30 gift card for Sephora. She wants to buy a product that costs $45. Write and simplify an expression to show Ms. Kesten's final balance. What does it mean?
30 - 45 = 30 + -45 = -15, she needs $15 more dollars
Write | 11 - -5 | as a distance statement, then answer it!
What is the distance between 11 and -5? 16
True or False: Two negative rationals sum to be positive. If true, provide an example. If false, provide a counterexample.
False: -6.5+-4 = -10.5
Simplify 10 - (-2) + 3
15
What does absolute value mean? Why can it never be negative?
it means the distance from 0 and distance can never be negative
The temperature in Patagonia is -6.4 degrees. The temperature gets 5 degrees colder, then 2.5 degrees warmer. Where does the temperature end?
-8.6 degrees
-1/3 + | 1 - (-1/2) | + 6
7 1/6
Rewrite -5 - -3 as an addition expression, then simplify.
| -3 + 2 | + 1
2
A basement apartment is 22 feet below ground but the roof of the building is 135 feet above the ground. How much distance is between the two locations? Draw a vertical number line sketch to support your answer.
| 135 - -22 | = 157 feet
A dolphin is located 14.5 feet below the surface. Exactly 3 1/3 feet away is a school of fish. Determine the TWO possible locations of the school of fish.
11 1/6 ft below the surface or 17 5/6 ft below the surface
Create a real world scenario that matches the expression 20 - 45. Simplify your expression and be prepared to explain what your answer means.
answers vary.
| -5.5 | - | 2 | + 1
4.5
A shark is swimming 24.3 feet below the surface when he sees a goldfish floating 9.8 feet below the surface. Determine the distance between the two animals using a vertical number line or absolute value expression.
14.5 ft