Adding Integers
8+(-15)=
What is -7?
Different signs, subtract keep sign of larger
15-8 = 7
-15 is larger
6- (-4)
What is 10?
Add the opposite: 6 + (+4) = 10
-12*11=
What is -132?
N * P = N
25/(-5)=
What is -5?
P / N = N
Two integers are 7 units away from the number 5 on a number line.
What is 12 and -2?
5 - 7 = -2
5 + 7 = 12
-9+21=
What is 12?
Different signs: subtract keep sign of larger number
21-9 = 12
21 is larger
-7-4=
What is -11?
Add the opposite
-7 + (-4) = -11
8*(-4)=
What is -32?
P * N = N
(-56)/(-8)=
What is 7?
N / N = P
A submarine dives to a depth of 538 feet below sea level and then goes up 27 feet. It is this new depth of the submarine.
What is 511 feet below sea level (-511)?
-538 + 27 = -511
-12 + (-16)
What is -28?
Same signs: add and keep sign
9-(-5)=
What is 14?
Add the opposite
9 + 5 = 14
-15*(-4)=
What is 60?
N * N = P
-8 divided by 15
What is -8/15?
A diver jumps from a cliff that is 48 1/2 feet above the surface of the water. She stops descending 12 1/2 feet under the water. This is the distance of her jump.
What is 61 feet?
48 1/2 - (-12 1/2) = 61
9.9 + (-9.1)
What is 0.8?
Different signs: subtract keep sign of larger number
4 - 5
What is -1?
Add the opposite
4 + (-5) = -1
-3/4 * 8/12
What is -1/2?
Multiply across
Simplify
-24/48 = -12/24 = -6/12 = -3/6 = -1/2
3/4 divided by -1/6
What is -9/2?
Keep Flip Change
3/4 * -6/1
Simplify P * N = N
-18/4 = -9/2 = -4 1/2
For a school science project, John noted the temperature at the same time every day for one week. The high temperature for the week was 27 degrees F and the low temperature for the week was -3 degrees F. This is the difference between the high and the low temperature.
What is 30 degrees F?
27 - (-3) = 30
7 + (-3) + (-2) + 4
What is 6?
7 + (-3) = 4
4 + (-2) = 2
2 + 4 = 6
7 - (-3) - (-2) - 4
What is 8?
Add opposite
7 + 3 +2 + (-4)
7 + 3 = 10
10 + 2 = 12
12 - 4 = 8
2 * -4 * -5 * -2
What is -80?
2 * -4 = -8 P* N = N
-8 * -5 = 40 N * N = P
40 * -2 = -80 P * N = N
-2/3 divided by -5/6
What is 4/5?
Keep Flip Change
-2/3 * -6/5
Simplify N * N = P
12/15 = 4/5
From the surface of the water, a submarine descended 4 feet per second to 56 feet below the sea level. This is the equation and solution.
What is -4 * 14 = -56?
Velocity * time = distance
Given: -4 * ____ = -56
-56/-4 = 14 seconds