Vocab
The distance a value is away from zero.
Absolute Value
14 + (-16)
-2
If Cecil has makes the following moves, how far apart are the ladders for the tightrope?
4 feet forward, 9 feet forward, 6 feet back, 9 feet back, 6 feet forward, 6 feet forward, 9 feet forward.
4 + 9 + (-6) + (-9) + 6 + 6 + 9
= 19 feet
-243 + 92
-151
Maribel lives in Colorado, where the winter temperature is often below zero. One day, the thermometer read 11 degrees Fahrenheit below zero, but it rapidly rose 6 degrees Fahrenheit as night fell. What is the resulting temperature? Draw a diagram to represent this situation.
-5 Fahrenheit
Example: 6, -6
Opposites
Using the number line or integer chips. Set up a diagram to solve this problem:
8 + (-9)
-1
++++++++
- - - - - - - - -
Ishmael’s stock went up $17 on Thursday and then down $13 on Friday. What was the total change in the value of his stock?
$4
-24 + (-16)
-40
Josie writes a check for $55, but only has $47 left on her checking account. What is her new balance?
-$8
The set of all whole positive and negative numbers, and including zero.
Integers
-45 + (-9)
-54
It will be – 12º f tonight. The weatherman predicts it will be 25º f warmer by noon tomorrow. What will the temperature be by noon tomorrow?
13º f
38 + (-5) + (-33)
0
If it is 5º outside and the temperature will drop 17º in the next six hours, how cold will it be?
-12º
The name of a pair of numbers that are the same distance away, but on the other side of zero.
Opposites
-240 + 13
-227
A scuba diver swam 96 feet beneath the surface of the lake. He then swims up 49 feet. What is his depth now?
-47 feet
123 + (-48)
75
A monkey sits on a limb that is 25 ft above the ground. He swings up 10 ft, climbs up 6 ft more then jumps down 13 ft. How far off the ground is the monkey now?
28 feet
When a positive and negative value match up and cancel out to 0.
Zero Pair
Order from least to greatest
-7, 4, -|6|, -1, |-7|, |0|, -5, 6
-7, -|6|, -5, -1, |0|, 4, 6, |-7|
{-7, -6, -5, -1, 0, 4, 6, 7}
On Tuesday the mailman delivers 3 checks for $5 each and 2 bills for $2 each. If you had a starting balance of $25, what is the ending balance?
$36
-32 + 99
67
Sonny has $75 to spend. The purchase he wants to make requires $93. If he borrows the extra money that he needs, how much does he owe his friend?
-$18