Question 1

Which property of the real numbers is illustrated by the following statement? (16 + 7) + 19 = 16 + (7 + 19)

Accepted Answer

A)  Identity property for addition 
B)  Commutative property of addition 
C)  Associative property of addition 
D)  Distributive property 
A)  Identity property for addition 
B)  Commutative property of addition 
C)  Associative property of addition 
D)  Distributive property

Question 2

Change the fraction to an equivalent fraction with the given denominator.
$$\frac { 5 } { 8 } = \frac { ? } { 24 }$$

Accepted Answer

The answer of Change the fraction to an equivalent fraction...

Question 3

$$\text { Write } 5.07 \times 10 ^ { 6 } \text { in decimal notation. }$$

Accepted Answer

The answer of \[\text { Write } 5.07 \times 10...

Question 4

Simplify and write the answer in exponential notation using positive exponents. Then evaluate.
$$4 ^ { 4 } \cdot 4 ^ { - 6 }$$

Accepted Answer

The answer of Simplify and write the answer in exponential...

Question 5

Find the common ratio.
$$\frac { 1 } { 10 } , \frac { 1 } { 50 } , \frac { 1 } { 250 } , \frac { 1 } { 1250 } , \frac { 1 } { 6250 } , \ldots$$

Accepted Answer

The answer of Find the common ratio.
\[\frac { 1 }...

Question 6

$$\text { Perform the indicated operations. } 4 ^ { 2 } + 2 \cdot 7 - ( - 15 + 5 \cdot 4 )$$

Accepted Answer

The answer of \[\text { Perform the indicated operations. }...

Question 7

$$\text { Multiply and reduce the answer to lowest terms. } \quad - \frac { 5 } { 6 } \times - \frac { 9 } { 17 }$$

Accepted Answer

The answer of \[\text { Multiply and reduce the answer...

Question 8

$$\text { Evaluate. } ( - 11 ) ^ { 0 }$$

Accepted Answer

The answer of \[\text { Evaluate. } ( - 11...

Question 9

$$\text { Reduce the fraction to lowest terms. } \frac { 78 } { 87 }$$

Accepted Answer

The answer of \[\text { Reduce the fraction to lowest...

Question 10

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither.
$$\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots$$

Accepted Answer

A)  neither 
B)  geometric 
C)  arithmetic 
A)  neither 
B)  geometric 
C)  arithmetic

Question 11

Change the fraction to a decimal. $\frac { 5 } { 24 }$
A) $0.2 \overline { 083 }$

B) $0 . \overline { 2083 }$

C) $0.20 \overline { 83 }$

D) $0.208 \overline { 3 }$

Accepted Answer

The answer of Change the fraction to a decimal. \(\frac...

Question 12

Find a prime factorization of 533.

Accepted Answer

The answer of Find a prime factorization of 533....

Question 13

$$\text { Simplify. } 8 ^ { 9 } \cdot 8 ^ { - 9 }$$

Accepted Answer

A)  Undefined 
B)  0 
C)  1 
D)  8 
A)  Undefined 
B)  0 
C)  1 
D)  8

Question 14

Add. -2 + (-6) + (-6)

Accepted Answer

A)  -10 
B)  10 
C)  -14 
D)  14 
A)  -10 
B)  10 
C)  -14 
D)  14

Question 15

Multiply. Write the answer in scientific notation.
$$\left( 3 \times 10 ^ { 7 } \right) \left( 8 \times 10 ^ { 2 } \right)$$
A) $24 \times 10 ^ { 9 }$

В) $24 \times 10 ^ { 14 }$

C) $2.4 \times 10 ^ { 15 }$

D) $2.4 \times 10 ^ { 10 }$

Accepted Answer

The answer of Multiply. Write the answer in scientific notation.
\[\left(...

Question 16

Write out the first five terms of the arithmetic sequence whose first term is $\frac { 1 } { 2 }$ and whose common difference is $\frac { 1 } { 4 }$.

Accepted Answer

The answer of Write out the first five terms of...

Question 17

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common difference is -7.

Accepted Answer

The answer of Write out the first five terms of...

Question 18

Find a prime factorization of 49.

Accepted Answer

The answer of Find a prime factorization of 49....

Question 19

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. -10, -12, -14, -16, -18

Accepted Answer

A)  geometric 
B)  neither 
C)  arithmetic 
A)  geometric 
B)  neither 
C)  arithmetic

Question 20

$$\text { Simplify. } \sqrt { 216 }$$

Accepted Answer

The answer of \[\text { Simplify. } \sqrt { 216...

Which property of the real numbers is illustrated by the following statement? (16 + 7) + 19 = 16 + (7 + 19)

Change the fraction to an equivalent fraction with the given denominator. $\frac { 5 } { 8 } = \frac { ? } { 24 }$

$\text { Write } 5.07 \times 10 ^ { 6 } \text { in decimal notation. }$

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. $4 ^ { 4 } \cdot 4 ^ { - 6 }$

Find the common ratio. $\frac { 1 } { 10 } , \frac { 1 } { 50 } , \frac { 1 } { 250 } , \frac { 1 } { 1250 } , \frac { 1 } { 6250 } , \ldots$

$\text { Perform the indicated operations. } 4 ^ { 2 } + 2 \cdot 7 - ( - 15 + 5 \cdot 4 )$

$\text { Multiply and reduce the answer to lowest terms. } \quad - \frac { 5 } { 6 } \times - \frac { 9 } { 17 }$

$\text { Evaluate. } ( - 11 ) ^ { 0 }$

$\text { Reduce the fraction to lowest terms. } \frac { 78 } { 87 }$

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots$

Change the fraction to a decimal. $\frac { 5 } { 24 }$ A) $0.2 \overline { 083 }$ B) $0 . \overline { 2083 }$ C) $0.20 \overline { 83 }$ D) $0.208 \overline { 3 }$

Find a prime factorization of 533.

$\text { Simplify. } 8 ^ { 9 } \cdot 8 ^ { - 9 }$

Add. -2 + (-6) + (-6)

Multiply. Write the answer in scientific notation. $\left( 3 \times 10 ^ { 7 } \right) \left( 8 \times 10 ^ { 2 } \right)$ A) $24 \times 10 ^ { 9 }$ В) $24 \times 10 ^ { 14 }$ C) $2.4 \times 10 ^ { 15 }$ D) $2.4 \times 10 ^ { 10 }$

Write out the first five terms of the arithmetic sequence whose first term is $\frac { 1 } { 2 }$ and whose common difference is $\frac { 1 } { 4 }$ .

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common difference is -7.

Find a prime factorization of 49.

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. -10, -12, -14, -16, -18

$\text { Simplify. } \sqrt { 216 }$

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Exam 5: The Real Number System

Which property of the real numbers is illustrated by the following statement? (16 + 7) + 19 = 16 + (7 + 19)

Change the fraction to an equivalent fraction with the given denominator. 58=?24\frac { 5 } { 8 } = \frac { ? } { 24 }85​=24?​

Write 5.07×106 in decimal notation. \text { Write } 5.07 \times 10 ^ { 6 } \text { in decimal notation. } Write 5.07×106 in decimal notation.

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. 44⋅4−64 ^ { 4 } \cdot 4 ^ { - 6 }44⋅4−6

Find the common ratio. 110,150,1250,11250,16250,…\frac { 1 } { 10 } , \frac { 1 } { 50 } , \frac { 1 } { 250 } , \frac { 1 } { 1250 } , \frac { 1 } { 6250 } , \ldots101​,501​,2501​,12501​,62501​,…

Perform the indicated operations. 42+2⋅7−(−15+5⋅4)\text { Perform the indicated operations. } 4 ^ { 2 } + 2 \cdot 7 - ( - 15 + 5 \cdot 4 ) Perform the indicated operations. 42+2⋅7−(−15+5⋅4)

Multiply and reduce the answer to lowest terms. −56×−917\text { Multiply and reduce the answer to lowest terms. } \quad - \frac { 5 } { 6 } \times - \frac { 9 } { 17 } Multiply and reduce the answer to lowest terms. −65​×−179​

Evaluate. (−11)0\text { Evaluate. } ( - 11 ) ^ { 0 } Evaluate. (−11)0

Reduce the fraction to lowest terms. 7887\text { Reduce the fraction to lowest terms. } \frac { 78 } { 87 } Reduce the fraction to lowest terms. 8778​

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. 15,125,1125,1625,13125…\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots51​,251​,1251​,6251​,31251​…

Change the fraction to a decimal. 524\frac { 5 } { 24 }245​ A) 0.2083‾0.2 \overline { 083 }0.2083 B) 0.2083‾0 . \overline { 2083 }0.2083 C) 0.2083‾0.20 \overline { 83 }0.2083 D) 0.2083‾0.208 \overline { 3 }0.2083

Find a prime factorization of 533.

Simplify. 89⋅8−9\text { Simplify. } 8 ^ { 9 } \cdot 8 ^ { - 9 } Simplify. 89⋅8−9

Add. -2 + (-6) + (-6)

Write out the first five terms of the arithmetic sequence whose first term is 12\frac { 1 } { 2 }21​ and whose common difference is 14\frac { 1 } { 4 }41​ .

Write out the first five terms of the arithmetic sequence whose first term is 6 and whose common difference is -7.

Find a prime factorization of 49.

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. -10, -12, -14, -16, -18

Simplify. 216\text { Simplify. } \sqrt { 216 } Simplify. 216​

Problem Solving

Set

Logic

Numeration Systems

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Consumer Mathematics

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Geometry

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Statistics

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Graph Theory

Available Online: Other Mathematical Systems

Summary

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Change the fraction to an equivalent fraction with the given denominator. $\frac { 5 } { 8 } = \frac { ? } { 24 }$

$\text { Write } 5.07 \times 10 ^ { 6 } \text { in decimal notation. }$

Simplify and write the answer in exponential notation using positive exponents. Then evaluate. $4 ^ { 4 } \cdot 4 ^ { - 6 }$

Find the common ratio. $\frac { 1 } { 10 } , \frac { 1 } { 50 } , \frac { 1 } { 250 } , \frac { 1 } { 1250 } , \frac { 1 } { 6250 } , \ldots$

$\text { Perform the indicated operations. } 4 ^ { 2 } + 2 \cdot 7 - ( - 15 + 5 \cdot 4 )$

$\text { Multiply and reduce the answer to lowest terms. } \quad - \frac { 5 } { 6 } \times - \frac { 9 } { 17 }$

$\text { Evaluate. } ( - 11 ) ^ { 0 }$

$\text { Reduce the fraction to lowest terms. } \frac { 78 } { 87 }$

Determine whether the sequence is an arithmetic sequence, a geometric sequence, or neither. $\frac { 1 } { 5 } , \frac { 1 } { 25 } , \frac { 1 } { 125 } , \frac { 1 } { 625 } , \frac { 1 } { 3125 } \ldots$

Change the fraction to a decimal. $\frac { 5 } { 24 }$ A) $0.2 \overline { 083 }$ B) $0 . \overline { 2083 }$ C) $0.20 \overline { 83 }$ D) $0.208 \overline { 3 }$

$\text { Simplify. } 8 ^ { 9 } \cdot 8 ^ { - 9 }$

Write out the first five terms of the arithmetic sequence whose first term is $\frac { 1 } { 2 }$ and whose common difference is $\frac { 1 } { 4 }$ .

$\text { Simplify. } \sqrt { 216 }$