Download Extra Credit 01 Properties of Real Numbers

Name __________________________ Integrated Algebra
Date ______________
Use the properties of Real numbers to find the correct answers below:
__ Tori computes the value of 8 × 95 in her head by thinking
_ 8(100 − 5) = 8 × 100 − 8 × 5. Which number property is she using?
(2) distributive
(3) commutative
(4) closure
a. (1) associative
__ Which expression is an example of the associative property?
_ (1) (x + y) + z = x + (y + z) (3) x(y + z) = xy + xz
(4) x • 1 = x
b. (2) x + y + z = z + y + x
__ Which equation illustrates the associative property of addition?
(3) (3 + x) + y = 3 + (x + y)
_ (1) x + y = y + x
(2) 3(x + 2) = 3x + 6
(4) 3 + x = 0
c.
2
__
What is the additive inverse of ?
_
3
2
1
3
d.
−
−
3
3
3
2
2
__ Which equation illustrates the distributive property for real numbers?
1 1 1 1
_
+ = +
(3) (1.3 × 0.07) × 0.63=1.3 × (0.07 × 0.63)
e. (1) 3 2 2 3
(1)
(2)
(3)
(4)
(2) 3 + 0 = 3
(4) –3(5 + 7) = (–3)(5) + (–3)(7)
__ Which property of real numbers is illustrated by the equation − 3 + 3 = 0?
_ (1) additive identity
(3) associative property of addition
(4) additive inverse
f. (2) commutative property of addition
__ Which equation is an illustration of the additive identity property?
1
_ (1) x • 1 = x
(2) x + 0 = x
(3) x – x = 0
(4) x ⋅ = 1
x
g.
__ Which equation illustrates the multiplicative identity element?
(2) x – x = 0
(3) x • = 1
(4) x • 1 = x
_ (1) x + 0 = x
h.
__ If a and b are integers, which equation is always true?
_ (1) a = b
(2) a + 2b = b + 2a
(3) a – b = b – a
b a
i.
1
__
If a ≠ 0 and the sum of x and is 0, then
a
_
1
j. (1) x = a
(2) x = –a
(3) x = −
a
(4) x = 1 – a
(4) a + b = b + a
Name __________________________ Integrated Algebra
Date ______________
__ Which equation illustrates the distributive property?
(3) a + (b + c) = (a + b) + c
_ (1) 5(a + b) = 5a + 5b
(2) a + b = b + a
(4) a + 0 = a
k.
__ The equation *(∆ + ♥) = *∆ + *♥ is an example of the
(3) distributive law
_ (1) associative law
(2) commutative law
(4) transitive law
l.
__ What is the multiplicative inverse of
_
4
4
m (1) –1
(2)
(3) −
3
3
.
3
?
4
(4) −
3
4