Real Numbers Answers

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Which of the following gives all of the sets that contain ?

Question illustration
A
the set of all rational numbers and the set of all real numbers
B
the set of all natural numbers and the set of all irrational numbers
C
the set of all integers and the set of rational numbers
D
the set of all natural numbers, the set of rational numbers, and the set of all real numbers
3

Which number would support the idea that rational numbers are dense?

A
a natural number between and
Option A
B
an integer between –11 and –10
C
a whole number between 1 and 2
D
a terminating decimal between –3.14 and –3.15
4

Which number is irrational?

A
mc029-1.jpg
Option A
B
mc029-2.jpg
Option B
C
mc029-3.jpg
Option C
D
mc029-4.jpg
Option D
5

Which of the following sets is closed under division?

A
natural numbers
B
non-zero integers
C
irrational numbers
D
non-zero rational numbers
7

Given and c is a real number, what is the multiplicative inverse of

Question illustration
A
0
B
1
C
StartFraction 1 Over 4 c + 5 End Fraction
Option C
D
StartFraction 1 Over 4 c EndFraction + 5
Option D
8

Which algebraic expression represents the phrase below?five times the sum of a number and eleven, divided by three times the sum of the number and eight

A
5(x + 11) + 3(x + 8)
B
StartFraction 5 x + 11 Over 3 x + 8 EndFraction
Option B
C
Start Fraction 5 (x + 11) Over 3 (x + 8) EndFraction
Option C
D
5x + 11 + 3x + 8
10

Which equation shows the inverse property of multiplication?

A
4 + (-4) = 0
B
-8 + (-3) = -3 + (-8)
C
2 times one-half = 1
Option C
D
Eight-fifths + 0 = Eight-fifths
Option D

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