Sets
1
N, W, Z, Q, R
(10-3x+24^2) * 0 = 0
Are Integers closed under multiplication?
True
10-2*4
2
x+y+z, x=3, y=-4, z=1
0
sqrt(9)
N, W, Z, Q R
2m+8=8+2m
Commutative
Odd numbers closed under multiplication.
True
(3)^2+25/5 -10
4
2x^2-3x, x=2
2
- 24/6
Z, Q, R
4*(3y)=(4*3)y
Associative
Whole Numbers closed under subtraction
False:
2-3
[(-4+5) *5-2]-abs(-2)
1
abs(x-5b), x=10, b=4
10
pi
I, R
20(1/20)=1
Inverse
Irrational numbers closed under division.
False:
pi/pi
(20-2^2 +8)/(3(10-5)-3) *5^2
50
(7c^2+5)/(4a-b), a=1, b=-5, c=-4
13
sqrt(1/4)
Q, R
(3x+5)+10 = (5+3x)+10
Commutative
All real numbers 1 through 9 closed through division
False:
1/2 = .5
(-2^2 -1)/(3(1-3)*5) *2^2-2(-2+1)
6
(5a^2-b^2+c^3)/(b+a)+abc, a=2, b=3, c=-1
-1