Show:
Categorizing Numbers
Translating
Reducing Fractions
Operations
Properties
100
-1/3
Real Number, Rational Number
100
the difference of a number and 5
x-5 (doesn't have to be an x, could be any letter)
100
25/100
1/4
100
-1 + (-3) + 5
1
100
5(x+y) = 5y + 5x
Distributive Property of Multiplication and the Commutative Property of Addition
200
-218
Real Number, Rational Number, Integer
200
The quotient of a number and the sum of 3 and the same number
x/3+x (order of sum matters but any variable can be used)
200
-3/-39
1/13
200
3 - (-15) + [2(3+4) - 3(1-2)]
35
200
(a + c) + b = (a + b) + c
Associative Property of Addition and Commutative Property of Addition
300
0
Real Number, Rational Number, Integer, Whole Number
300
The product of the quotient of a number and 3 and the difference of 6 and the same number
x/3 * (6-x) or x(6-x)/3 or (-x^2 + 6x)/3
300
48/54
8/9
300
-2(5-2) + 6 - 3 x 4 - 6/3
-14
300
5/(2+3) * (a)(b) = (b)(a)
Identity Property of Multiplication and Commutative Property of Multiplication
400
100/4
Real Number, Rational Number, Integer, Whole Number, Real Number
400
I have $30 in my bank account and I withdraw a number after I deposit the difference between that number and 5.
$30 +(x-5) - x = $25
400
36/49
36/49
400
(-3)-8+(4)(-2)
-19
400
(-6 + 6) + (1/3)(3)x - 4(x + y) = -4y + (x - 4x)
Identity Property of Addition, Additive Inverse, Multiplicative Inverse, Identity Property of Multiplication, Commutative Property of Addition, Associative Property of Addition, Distributive Property of Multiplication
500
pi (3.1415...)
Real Number, IRRATIONAL
500
The sum of a number with itself divided by the quotient of 2 and the number.
(x + x)/(2/x) = 2x/(2/x) = 2x^2/2 = x^2
500
125/400
5/16
500
[(2-3)(-8)]/[(4-2)+(-1)(4)]
8/-2 = -4
500
(1/3)(2)(3) - [4(-2)(1/8) + 1]= 2[(1/3)(3)] - [1 + (-8)(1/8)] = 2
Commutative Property of Multiplication, Identity Property of Multiplication, Identity property of Addition, Commutative Property of Addition, Inverse Property of Multiplication, Inverse Property of Addition