Absolute Value
What is absolute value asking?
The distance a number is away from zero
-13 + 9
-4
12 - (-4)
16
-2 (- 3)
6
An iceberg in Antartica has a depth of 100ft. The height of the iceberg is 37ft. What is the total distance from the bottom tip to the top tip? Write a subtraction expression to solve this problem.
22 -(-75)
137 ft in length
The high temps the last week of November were:
53, 41, -7, -2, -6, 10, 32
What was the average temp for the week? Round to the nearest whole integer
17 degrees
Solve:
a. |10|
b. |-10|
c. -|10|
d. -|-10|
a. 10
b. 10
c. -10
d. -10
-12 + 5 + (-7)
-14
-11 -(-11)
0
Is the answer to this multiplication problem positive or negative? WHY?
-2(-5)(-3)
Negative because it has an odd number of negative numbers
You scored 25, -10, 112, -75 on 4 rounds of a video game. What are the lowest and highest scores?
Setup and expression to find the distance between the lowest and highest score.
What is the range of your scores?
-75, 112
112 - (-75)
187 points
Find the solution
a. (-3)^3
b. 1234^1
c. (-45)^0
a. -27
b. 1234
c. 1
Going left or down on a numberline results in what type of number?
Negative
|-7 + (-6)|
13
The temperature starts at 17 degrees above zero. Overnight it drops to -4. Write the expression and solve to find the total decrease in temperature
17- (-4)
Dropped 21 degrees
You are charged $25 everyday your bank account is in the hole (below 0). You couldn't get money into your account for 7 days. How much do you need to pay to breakeven? Write the expression and solve
(-25)(7)
$175
If a = 1, b=-2, and c= -10, rewrite the expression with the numbers and solve
a + b - c
1 +(-2) -(-10)
9
Solve the integer expressions
60/-5
-12
Every absolute value has two possible original numbers. Using the number 10 give the two examples
10, -10
What is the inverse of -125?
125
|-27 + 16| - (-3)
14
You lose 4 points everytime you forget to show your work on a homework assignment. You have forgotten to show how you solved the problem 5 times. How many points have you lost?
Write the expression, solve, and label
(-4)(5)=-20
Lost 20 points
If a = 1, b=-2, and c= -10, rewrite the expression with the numbers and solve
|-a - b - c|
|-1 -(-2) - (-10)|
11
Evaluate the expressions when r= -3, s= 4, and t=-2
a. s^2 - rt
b |r + 1|/t
a. 8
b. -1
One fish is 10 ft below the surface. Another is 7 ft below the surface. Write each integer. Which integer is closer to the surface?
-10, -7
-7 is closer to the surface
When climbing Mount Everest, you start 130 km below the first base camp. On day 1 you climb 75 km. How far are you away from base camp? Write the integer expression. Use above or below to describe where you are at.
-130 + 75
55 km below
You have $35 in your bank account. You go to see the Barbie movie and a ticket cost $11. You also bought popcorn and candy for $15. Write the subtraction expression and solve to find out how much money you have in your account
35 -11 -15
$9.00
A test has 30 problems. You get 2 points if you show the correct steps in solving and get the answer correct. You get 1 point if you only get the correct answer. You did not show the correct work for 7 problems. What was your score?
Write the expression, solve, and label
(30)(2) - 7
53 points
If a = 1, b=-2, and c= -10, solve the expression below
-a + (b)(c)
-1 + (-2)(-10)
19
Find and describe the mistake
|-7 + (-13)|/-5
The absolute value of -7 + (-13) = 20
20/-5 = -4