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Real numbers and Properties

Terms in this set (64)

R,Q,Z (real, rational, integer)
-3 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q, (real, rational)
2/3 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q,Z,W (real, rational, integer, whole)
0 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q,Z,W,N (real, rational,Integer, whole, natural)
7.0 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,I (real, irrational) because non-terminating and non-repeating decimal
-8.123484962..... belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q (real, rational) because decimal has a repeating pattern.
6.87878787... belongs to which set(s)....
Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q,Z (real, rational, integer)
-6.0 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,I (real, irrational) because the square root of 6 is a non-terminating and non-repeating decimal.
square root of 6 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,I (real, irrational) because pi is 3.141593..., which is a non-terminating and non-repeating decimal.
pi belongs to which set(s)....
Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,I (real, irrational) because it is a non-terminating and non-repeating decimal.
3.234362581...... belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
R,Q,Z,W,N (real, rational, integer, whole, natural #) because square root of 16 = 4
square root of 16 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets.
a) commutative
which property describes...
4+(6+1) = 4 +(1 + 6) ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
e) multiplicative Identity
which property describes...
7(8) = 7(8x1) ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
b) associative
which property describes...
2x+(3+y) = (2x +3) + y ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
e) additive identity
which property describes...
x +0 + 6 = x +6 ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
d) multiplicative inverse
which property describes...
-5(-1/5)=1 ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
c) distributive property
which property describes...
7(x-3) = 7(x) - 7(3) ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
a) Commutative Property
which property describes...
(6+0) + 3 = (0 + 6) + 3 ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
-1/2
What is the multiplicative inverse of -2?
-7
What is the additive inverse of 7?
10/9
What is the multiplicative inverse of 0.9
-2/3
What is the additive inverse of 2/3?
-8
What is the opposite of 8?
-1/6
What is the reciprocal of -6
d) additive inverse
which property describes...
4+8+(-8) = 4+0 ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
R,Q (real, rational) because it is a repeating decimal.
0.33333.....belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
R,I (real, irrational) because square root of 8 is approx 2.828427... which is a non-terminating and non repeating decimal.
square root of 8 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
R,Q (real, rational)
8 1/3 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
No, because integers are the whole numbers and their opposites like....... -4,-3,-2,-1,0,1,2,3,...
Is -4.5 an Integer?
Yes
Is 7an Integer?
-9/5 (because 9/5 + -9/5 = 0)
What is the additive Inverse of 9/5
4.785 (think opposite- also because -42785+4.785 = 0)
What is the additive Inverse of -4.785
-1/5 (think reciprocal - also because -5 * -1/5 = 1)
What is the multiplicative Inverse of -5
NO- fractions and decimals are NOT integers. Only whole numbers and their opposites are integers.
Is 7.3333..... an Integer?
Yes. Well it is a decimal, but it can be written as just 11. That is why it IS an Integer. It belongs to the set of whole numbers and their opposites.
Is 11.0 an Integer
-5/6
What is the opposite of 5/6
+8 (absolute value is the distance from zero)
What is the absolute value of -8
+23 (absolute value is the distance from zero)
What is the absolute value of 23
a) commutative property
which property describes...
8x + (3 + y) = (3 + y) + 8x

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
d) multiplicative Identity because 7x(1) =7x
which property describes...
7x(1) +5 = 7x + 5

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
a) commutative property
which property describes...
6(4) = 4(6)

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
c) distributive property
which property describes...
4(3 - 6) = 4(3) - 4(6)?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
a) associative property
which property describes...
8x(4 x 1)= (8x4) x 1
a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
e) additive inverse because -2y+2y =0
which property describes...
3x +-2y + 2y = 3x + 0 ?

a) commutative, b) associative, c) distributive,
d) inverse, or e) identity
R,Q,Z (real,rational, intergers)
-6 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
R,I (real, irrational) because the square root of 10 is approx 3.162278... which is a non-terminating and non-repeating decimal.
square root 10 belongs to which set(s)....
Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
R,Q it is a decimal that keeps going but with a pattern. In other words, it is a repeating decimal.
-4.2525... belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
R,I (real,irrational too because the decimal keeps going with no predictable pattern.) It is a non-terminating and non-repeating decimal.
4.12516.... belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
decimals and fractions are NOT integers so...
2/3, 6.7, and -3/5 are NOT integers.
Only whole numbers and their opposites are integers. For ex. ... -4,-3,-2,-1,0,1,2,3..
Which of these numbers are NOT integers:
5, 2/3, -6, 5.0, 6.7, -3/5
R,Q, Z (real, rational, integer)
-3 belongs to which set(s)....

Where (R) real, (Q)rational, (I)irrational, (Z)Integers, (W) whole, and (N) natural number sets
Rational and irrational numbers make up the entire real number system.
Real numbers are made up of what two sets of numbers?
Def 1: A number that can be written as a fraction like a/b, where a and b are integers and b cannot equal zero.
Def 2: A terminating decimal or a non-terminating with a repeating pattern.
What are the two definitions of a rational number?
An integer consists of the whole numbers and their opposites. For example ...-4,-3,-2,-1,0,1,2,3,4,...
What is the definition of an integer?
Whole numbers are the natural numbers and zero. For example 0,1,2,3,4,5,6,....
What is the definition of a whole number?
Natural numbers are the numbers we use to count objects like 1,2,3,4,5,6,7,.... (note: 0 is NOT a counting number)
What is the definition of a natural number?
5,0, -6, are integers
Which are integers? 5, 2/3, 0, -6, 1.5
-2.5
What is the opposite of 2.5
1/12
What is the reciprocal of 12
-3
What is the additive inverse of 3
-3
What is the reciprocal of -1/3
4/3
What is the multiplicative inverse of 3/4
-1.5, 5.121212..., 1/2 are not integers
Which are NOT integers? 8, -1.5, -23, 5.121212.., 1/2
Undefined
What is 12/0
0
What is 0/6
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