Question 1

Decide whether or not the set is closed under addition.
-{0}

Accepted Answer

A) Closed 
B) Not closed 
A) Closed 
B) Not closed

Question 2

Convert the base-ten number to a number in the indicated base.
-2,874 to base eight

Accepted Answer

A) 4572eight 
B) 5427eight 
C) 4527eight 
D) 5472eight 
A) 4572eight 
B) 5427eight 
C) 4527eight 
D) 5472eight

Question 3

Provide an appropriate response.
-In the set of whole numbers, is 1 - 9 meaningful? Explain.

Accepted Answer

Since there exists no whole nu

Question 4

Write the following as a base-ten numeral.
-$$8 \cdot 10 ^ { 2 } + 3$$

Accepted Answer

A)  703 
B)  800 
C)  803 
D)  None of these 
A)  703 
B)  800 
C)  803 
D)  None of these

Question 5

State the property that is illustrated.
-1(15 ·11) = 15 ·11

Accepted Answer

A) commutative property of multiplication 
B) distributive property of multiplication over addition 
C) identity property of multiplication 
D) associative property of multiplication 
A) commutative property of multiplication 
B) distributive property of multiplication over addition 
C) identity property of multiplication 
D) associative property of multiplication

Question 6

Use the distributive property to factor the following.
-$$x ^ { 2 } y - x y ^ { 2 }$$

Accepted Answer

A)  $x ^ { 2 } ( y - x y )$ 
B)  $x ( x y - y )$ 
C)  $x ^ { 2 } \left( y - y ^ { 2 } \right)$ 
D)  $x y ( x - y )$ 
A)  $x ^ { 2 } ( y - x y )$ 
B)  $x ( x y - y )$ 
C)  $x ^ { 2 } \left( y - y ^ { 2 } \right)$ 
D)  $x y ( x - y )$

Question 7

Provide an appropriate response.
-$$\text { Is it true that } 4 _ { \text {ten } } - 4 _ { \text {five } } = 0 \text { ? If false, then explain. }$$

Accepted Answer

The answer of Provide an appropriate response.
-\[\text { Is it...

Question 8

Convert the base-ten number to a number in the indicated base.
-13,562 to base eight

Accepted Answer

A) 23,227eight 
B) 23,272eight 
C) 32,372eight 
D) 32,327eight 
A) 23,227eight 
B) 23,272eight 
C) 32,372eight 
D) 32,327eight

Question 9

Write the following as a base-ten numeral.
-$$6 \cdot 10 ^ { 3 } + 8 \cdot 10 ^ { 2 } + 4$$

Accepted Answer

A)  1804 
B)  6800 
C)  6804 
D)  6104 
A)  1804 
B)  6800 
C)  6804 
D)  6104

Question 10

Find the next two terms in the following arithmetic sequence.
--4, 1, 6, 11, ,

Accepted Answer

A) 16, 26 
B) 11, 16 
C) 16, 21 
D) 21, 26 
A) 16, 26 
B) 11, 16 
C) 16, 21 
D) 21, 26

Question 11

Decide which property of addition is illustrated.
-(1 + 8) + 8 = (8 + 1) + 8

Accepted Answer

A) Commutative 
B) Associative 
A) Commutative 
B) Associative

Question 12

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system.
-100; Mayan

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

Perform the indicated operation.
-$34_{ five}+ 23_{ five}$

Accepted Answer

A)  None of these 
B)  $25_{ five}$ 
C)  $122_{ five}$ 
D) $ 112 _{ five}$ 
A)  None of these 
B)  $25_{ five}$ 
C)  $122_{ five}$ 
D) $ 112 _{ five}$

Question 14

Remove or add parentheses as indicated.
-Place parentheses to make the equation $7 + 10 - 5 \cdot 6 = 37$ true.

Accepted Answer

A)  $( 7 + 10 ) - 5 \cdot 6 = 37$ 
B)  $( 7 + 10 - 5 \cdot 6 ) = 37$ 
C)  $7 + ( 10 - 5 ) \cdot 6 = 37$ 
D)  $( 7 + 10 - 5 ) \cdot 6 = 37$ 
A)  $( 7 + 10 ) - 5 \cdot 6 = 37$ 
B)  $( 7 + 10 - 5 \cdot 6 ) = 37$ 
C)  $7 + ( 10 - 5 ) \cdot 6 = 37$ 
D)  $( 7 + 10 - 5 ) \cdot 6 = 37$

Question 15

Rewrite the problem as a multiplication problem.
-n ÷ m = p

Accepted Answer

A) n ·m = p 
B) n ·p = m 
C) n = p · m 
D) m = n ÷ p 
A) n ·m = p 
B) n ·p = m 
C) n = p · m 
D) m = n ÷ p

Question 16

Decide whether or not the set is closed under multiplication.
-{0, 1}

Accepted Answer

A) Closed 
B) Not closed 
A) Closed 
B) Not closed

Question 17

Write the numeral in base ten.
-$7,001_{ eight}$

Accepted Answer

A)  56,080 
B)  54,290 
C)  4828 
D)  3585 
A)  56,080 
B)  54,290 
C)  4828 
D)  3585

Question 18

Provide an appropriate response.
-Use the associative and commutative properties of addition to simplify $a + ( b + 2 a )$, where $a$ and $b$ are whole numbers and $a \neq b$.

Accepted Answer

The answer of Provide an appropriate response.
-Use the associative and...

Question 19

Provide an appropriate response.
-Given that · ·· represents the number 12 and ·· · represents the number 21, what does ··· ···
represent?

Accepted Answer

The answer of Provide an appropriate response.
-Given that · ··...

Question 20

Write the place value of the underlined numeral.
-

Accepted Answer

A)  Hundreds 
B)  Thousands 
C)  Units 
D)  Tens 
A)  Hundreds 
B)  Thousands 
C)  Units 
D)  Tens

Decide whether or not the set is closed under addition. -{0}

Convert the base-ten number to a number in the indicated base. -2,874 to base eight

Provide an appropriate response. -In the set of whole numbers, is 1 - 9 meaningful? Explain.

Write the following as a base-ten numeral. - $8 \cdot 10 ^ { 2 } + 3$

State the property that is illustrated. -1(15 ·11) = 15 ·11

Use the distributive property to factor the following. - $x ^ { 2 } y - x y ^ { 2 }$

Provide an appropriate response. - $\text { Is it true that } 4 _ { \text {ten } } - 4 _ { \text {five } } = 0 \text { ? If false, then explain. }$

Convert the base-ten number to a number in the indicated base. -13,562 to base eight

Write the following as a base-ten numeral. - $6 \cdot 10 ^ { 3 } + 8 \cdot 10 ^ { 2 } + 4$

Find the next two terms in the following arithmetic sequence. --4, 1, 6, 11, ,

Decide which property of addition is illustrated. -(1 + 8) + 8 = (8 + 1) + 8

For the given Hindu-Arabic numeral, write an equivalent numeral in the indicated system. -100; Mayan

Perform the indicated operation. - $34_{ five}+ 23_{ five}$

Remove or add parentheses as indicated. -Place parentheses to make the equation $7 + 10 - 5 \cdot 6 = 37$ true.

Rewrite the problem as a multiplication problem. -n ÷ m = p

Decide whether or not the set is closed under multiplication. -{0, 1}

Write the numeral in base ten. - $7,001_{ eight}$

Provide an appropriate response. -Use the associative and commutative properties of addition to simplify $a + ( b + 2 a )$ , where $a$ and $b$ are whole numbers and $a \neq b$ .

Provide an appropriate response. -Given that · ·· represents the number 12 and ·· · represents the number 21, what does ··· ··· represent?

Write the place value of the underlined numeral. -

An Introduction to Problem Solving

Introduction to Logic and Sets

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 3: Numeration Systems and Whole Number Operations