Representing Integers
Represent a loss of 25 points
-25
Add the integers
6+(-4)
2
On a number line, which direction do you move when adding a positive number?
To the right
Multiply the integers
(-3)(2)
-6
What is |-8|?
8
Write an expression to represent +7
Answers will vary.
A gain of 7 points, deposit of 7 dollars, etc.
Subtract the integers
6- (-4)
10
If z = -5, what is the value of |z| + z?
10
(-7) (-7)
49
What is the sum of |-10| + |25|?
35
A football team loses 8 yards on one play, then gains 3 yards on the next play.
Write an integer to represent each play.
-8
+3
Add the integers
20 + (-3)
17
If the temperature drops from 2°F to -4°F, what is the change in temperature?
-6
Multiply the integers
(-2)(-2)(-7)
-28
Julisa said the absolute value of 7 is -7. Is she correct and why/ why not?
She is not correct because absolute value is always 7.
The temperature is 6°F below zero in the morning and rises to 4°F above zero by afternoon.
Write an integer to represent each temperature.
-6
+4
Subtract the integers
7 - 10
-3
Sort these integers from least to greatest
-100,100,0,-10
-100,-10,0, 100
Divide the integers
-28 ÷ 7
-4
What is the opposite of 100?
-100
A scuba diver is 25 feet below sea level. A bird is flying 18 feet above sea level.
Write an integer to represent each position.
-25
+18
Add the integers
-12 + (-4) + (-3)
-19
A deep-sea diver starts at 15 feet above sea level on a boat. He then dives down 28 feet to explore a reef. After a few minutes, he rises 12 feet, then descends another 19 feet to reach a deeper area.
What is the diver’s final position relative to sea level?
−20 feet
Divide the integers
56 ÷ -7
-8
A submarine is at an elevation of −45 feet below sea level. To return to its starting point at sea level, it must move to the opposite value of its current position.
Then, due to strong currents, it continues moving the same distance past sea level in the opposite direction.
What is the submarine’s final position?
90 feet