Properties of Numbers
What property is shown with this equation?
6+0=6
Identity Property
What is the absolute value of -7?
7
Find the sum of -8 and -5.
-8 + (-5) = -13
Find the difference of 7 and 12.
-5
What is the product of -5 and -3?
15
Solve the problem and name the property you used. 5 + 16 + 7 = 16 + 7 + __
5+16+7=16+7+5, Commutative Property
What is the inverse of 13?
-13
Compare. Write <, >, or =.
25 + (-70) ___ -95
25 + (-70) > -95
Simplify 30 – (-20).
50
What is the quotient of 48 and -6?
-8
Solve the problem and name the property you used.
2 x (6+1) = 2 x ___ + 2 x 1
2 x (6+1) = 2 x 6 + 2 x 1, Distributive Property
Order the integers 3, -6, 9, -1, -2 from least to greatest.
-6 -2, -1, 3, 9
Evaluate the expression for x = 10 and y = -7. x + y
x + y = 10 + (-7) = 3
Compare. Write <, >, or =.
7 – (-8) ____ -4 – 21
15 > -25
Simplify -42 ÷ 0 and 0 ÷ -13.
-42 ÷ 0 = undefined and 0 ÷ -13 = 0
Which property has this definition?
When you add or multiply, you can group the numbers together in any combination.
Associative Property
Compare. Write <, >, or =.
|-21| __ -21 __ -31
|-21| > - 21 > -31
Find the sums then compare using <, >, =.
– 24 + (- 24) ___ -68 + 20
– 24 + (- 24) = -68 + 20
Evaluate the expression for m = -5, n=8, and p=-14. n – m – p
8 – (-5) – (-14) = 27
Which equations below are equal to -20?
-2 x 10 -4 x -5
-40 ÷ -2 100 ÷ -5
-2 x 10 and 100 ÷ -5
Out of all the equations listed, which one shows the distributive property.
4 + 0 = 4
9 + (8 + 2) = 9 + 8 + 2
5 + 7 = 7 + 5
5 x (12 + 3) = 5 x 12 + 5 x 3
5 x (12 + 3) = 5 x 12 + 5 x 3
What values can x have if |x| = 11?
11 or -11
While hiking, Tessa went up 700 feet. If Tessa started at 400 feet below sea level, what elevation is she at now?
300 feet
An airplane takes off and then climbs 2500 feet. After 20 minutes, the airplane descends 150 feet. What is the airplane's current height?
2500 – 150 = 2350 feet
A zombie loses 2 fingers each day for 4 days. How many fingers has he lost after the 4 days are over?
-2 x 4 = -8, 8 fingers lost