AnswersGA-Algebra Concepts and Connections AReal Numbers

Real Numbers Answers

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1
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Which of the following sets is closed under division?

A
natural numbers
B
non-zero integers
C
irrational numbers
D
non-zero rational numbers
2
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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
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 set does not contain –3?

A
the set of all real numbers
B
the set of all integers
C
the set of all whole numbers
D
the set of all rational numbers
5

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
6

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
7

Which number is an integer?

A
Negative three-fourths
Option A
B
0
C
2.3
D
Pi
Option D
8

Which answer describes the type of numbers that are dense?

A
whole numbers and integers
B
whole numbers but not integers
C
rational numbers and irrational numbers
D
rational numbers but not irrational numbers
9

Which number is an irrational number?

A
StartFraction negative 22 Over 9 EndFraction
Option A
B
Negative StartRoot 3 EndRoot
Option B
C
2.56
D
StartRoot 15 EndRoot
Option D
10

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
11

Which phrase represents the algebraic expression ?

Question illustration
A
the sum of six times a number and three, multiplied by the difference of nine times the number and seven
B
the sum of six times a number and three, divided by the difference of nine times the number and seven
C
the sum of three times a number and six, multiplied by the difference of seven times the number and nine
D
the sum of three times a number and six, divided by the difference of seven times the number and nine
12

Which algebraic expression represents the phrase “six less than a number”?

A
6x - x
B
x - 6
C
6 - x
D
x - 6x
13

Which phrase represents the algebraic expression ?

Question illustration
A
the product of one-fourth and a number, plus seven
B
the product of seven and a number
C
the product of one-fourth and seven, plus a number
D
the product of seven and one-fourth
14

Which set of numbers is correctly ordered from greatest to least?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers?

A
3.14 and
Option A
B
3.33 and
Option B
C
and
Option C
D
and
Option D
16

Which number is irrational?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

Which set of numbers is correctly ordered from least to greatest?

A
, ’ 15.758
Option A
B
, 15.758,
Option B
C
15.758, ,
Option C
D
, 15.758,
Option D

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