Integer Applications
The temperature fell a total of 12o F in 4 hours. How much did it change each hour?
-3oF
5 + (-7) =
-2
5 - 8
-3
-5 + x = 3
x = 8
What is the study of quantity, structure, space, and change?
Mathematics
The quantity being number theory, the structure being algebra, space being geometry, and change being mathematical analysis.
A football team lost 3 yards on each of the 4 plays they ran. What was their overall change in yardage?
-12 yards
-7 + (-3) =
-10
-9 - (-12)=
3
a + (-7) = 3
a = 10
How many moves does it take to solve a Rubik’s cube?
No more than 20 moves
It took over 30 years for anyone to figure out that any Rubik’s Cube can be solved in 20 moves and there are 43 quintillion possible configurations of the Cube
Taylor has $27 dollars in his checking account. He then writes a check for $35. What is the balance of Taylor’s bank account?
$-8
-255 + (-15) + 15 =
-255
-32 - (-14) - 41=
-18 + b = -36
b= -18
What number is represented in Roman Numerals by the letter ‘D’?
500
A scuba diver dove to 40 feet below the surface of the water. He then sank an additional 17 feet before swimming back up 6feet. What is the depth of the scuba diver compared to sea level?
-51 feet below sea level
-12 + 9 + (-20) =
-23
-9 - (-2) - 13=
-20
-27 - x = -35
x = -8
Who were the first people to ever use negative numbers?
The Chinese
Negative numbers were initially used to figure out the amount of someone’s debt.
You are hiking on a mountain and start at an elevation of 25 feet above your base camp. You descend 30 feet. You ascend 20 feet. You descend 40 feet. You ascend 10 feet. What is your ending elevation?
-15 feet below base camp
108+(-155)=
-47
-4 - 2 - 10 - 20 - 100 =
-136
-34 + z = 27
Lemniscate is the shape of what mathematical symbol?
Infinity
The lemniscate is number 8 on its side. The word comes from the Latin word lemniscatus meaning “ribbon”.