Integer Rules
What is the rule when adding integers with the SAME sign?
Keep It and Add!
-12 + 9 = ?
-3
9 - (-20)= ?
29
(-6) x (-4) = ?
24
-48 ÷ 6 = ?
-8
What is the rule when adding integers with DIFFERENT signs?
Subtract and Go Big!
-37 + ? = -50
-13
-97 - ? = -15
-82
8 x ? = -32
-4
? ÷ (-3) = 9
-27
What is the rule when subtracting integers?
Keep, Change, Change!
-23 + 15 - ? = -3
-5
15 - 38 + ? = 100
123
(-12) x ? = 6 x (-3 + 9)
-3
(-20 + ? ) ÷ 4 = -12
-28
What is the rule when multiplying or dividing integers with the SAME sign?
The answer is always positive!
Insert + or - in the three blanks so that 15 __ 14 __ 17 __ 13 is as close to zero as possible.
15+14-17-13=-1
Use each of -9, -4, 6, and 8 once. Choose three numbers whose sum has the smallest absolute value.
｜-9+-4+8｜=｜-5｜=5
Find every integer a such that -96 ÷ a is a positive integer greater than 8 but less than 20.
-8, -6
Find integers a and b with |a| < 10 and |b| < 10 such that a ÷ b = -4 and a - b is as large as possible.
a=8, b=-2, a-b=10
What is the rule when multiplying or dividing integers with DIFFERENT signs?
The answer is always negative!
Find all integer pairs (a, b) satisfying a - b = -9 and |a| + |b| = 9.
(-8,1) , (-2,7) , (-3,6) , (-4,5) , (-5,4) , (-6,3) , (-7,2) , (-8,1) , (-9,0)
Starting at -10, you may add 7 or subtract 4 on each of four moves. Can you finish at 0?
No
Three different integers have product -72. Two of them have product 12. List every possible third integer.
3 x 4 x -6,
-3 x -4 x -6,
2 x 6 x -6,
1 x 12 x -6,
-1 x -12 -6
Find every integer a with |a| < 10 such that [(-8) × a] ÷ 4 is a positive mutiples of 6.
-3, -6, -9