Chapter 4

Thinking Mathematically · 185 exercises

Problem 1

Add in the indicated base. $$ \begin{array}{r} 23_{\text {four }} \\ +13_{\text {four }} \\ \hline \end{array} $$

4 step solution

Problem 1

Convert the numeral to a numeral in base ten. \(43_{\text {five }}\)

3 step solution

Problem 1

Evaluate the expression. \(5^{2}\)

2 step solution

Problem 2

Add in the indicated base. $$ \begin{array}{r} 31_{\text {four }} \\ +22_{\text {four }} \\ \hline \end{array} $$

4 step solution

Problem 2

Convert the numeral to a numeral in base ten. \(34_{\text {five }}\)

3 step solution

Problem 2

Evaluate the expression. \(6^{2}\)

3 step solution

Problem 3

Add in the indicated base. $$ \begin{array}{r} 11_{\text {two }} \\ +11_{\text {two }} \\ \hline \end{array} $$

4 step solution

Problem 3

Convert the numeral to a numeral in base ten. \(52_{\text {eight }}\)

3 step solution

Problem 3

Evaluate the expression. \(2^{3}\)

2 step solution

Problem 4

Add in the indicated base. $$ \begin{array}{r} 101_{\text {two }} \\ +\quad 11_{\text {two }} \\ \hline \end{array} $$

4 step solution

Problem 4

Convert the numeral to a numeral in base ten. 67 eight

3 step solution

Problem 4

Evaluate the expression. \(4^{3}\)

2 step solution

Problem 5

Add in the indicated base. $$ \begin{array}{r} 342_{\text {five }} \\ +413_{\text {five }} \\ \hline \end{array} $$

3 step solution

Problem 5

Convert the numeral to a numeral in base ten. \(132_{\text {four }}\)

3 step solution

Problem 5

Evaluate the expression. \(3^{4}\)

3 step solution

Problem 6

Add in the indicated base. $$ \begin{array}{r} 323_{\text {five }} \\ +421_{\text {five }} \\ \hline \end{array} $$

5 step solution

Problem 6

Convert the numeral to a numeral in base ten. \(321_{\text {four }}\)

3 step solution

Problem 6

Evaluate the expression. \(2^{4}\)

4 step solution

Problem 7

Add in the indicated base. $$ \begin{array}{r} 645_{\text {seven }} \\ +324_{\text {seven }} \\ \hline \end{array} $$

4 step solution

Problem 7

Convert the numeral to a numeral in base ten. \(1011_{\text {two }}\)

3 step solution

Problem 7

Evaluate the expression. \(10^{5}\)

2 step solution

Problem 8

Add in the indicated base. $$ \begin{array}{r} 632_{\text {seven }} \\ +564_{\text {seven }} \\ \hline \end{array} $$

4 step solution

Problem 8

Convert the numeral to a numeral in base ten. \(1101_{\text {two }}\)

3 step solution

Problem 8

Evaluate the expression. \(10^{6}\)

3 step solution

Problem 9

Add in the indicated base. $$ \begin{array}{r} 6784_{\text {nine }} \\ +7865_{\text {nine }} \\ \hline \end{array} $$

4 step solution

Problem 9

Convert the numeral to a numeral in base ten. \(2035_{\text {six }}\)

3 step solution

Problem 9

Write each Hindu-Arabic numeral in expanded form. 36

2 step solution

Problem 10

Add in the indicated base. $$ \begin{array}{r} 1021_{\text {three }} \\ +2011_{\text {three }} \\ \hline \end{array} $$

3 step solution

Problem 10

Convert the numeral to a numeral in base ten. 2073 nine

3 step solution

Problem 10

Write each Hindu-Arabic numeral in expanded form. 65

3 step solution

Problem 11

Add in the indicated base. $$ \begin{array}{r} 14632_{\text {seven }} \\ +\quad 5604_{\text {seven }} \\ \hline \end{array} $$

6 step solution

Problem 11

Convert the numeral to a numeral in base ten. \(70355_{\text {eight }}\)

3 step solution

Problem 11

Write each Hindu-Arabic numeral in expanded form. 249

3 step solution

Problem 12

Add in the indicated base. $$ \begin{array}{r} 53 \mathrm{~B}_{\text {sixteen }} \\ +694_{\text {sixteen }} \\ \hline \end{array} $$

3 step solution

Problem 12

Convert the numeral to a numeral in base ten. \(41502_{\text {six }}\)

3 step solution

Problem 12

Write each Hindu-Arabic numeral in expanded form. 698

3 step solution

Problem 13

Subtract in the indicated base. $$ \begin{array}{r} 32_{\text {four }} \\ -13_{\text {four }} \\ \hline \end{array} $$

4 step solution

Problem 13

Convert the numeral to a numeral in base ten. \(2096_{\text {sixteen }}\)

3 step solution

Problem 13

Write each Hindu-Arabic numeral in expanded form. 703

3 step solution

Problem 14

Subtract in the indicated base. $$ \begin{array}{r} 21_{\text {four }} \\ -12_{\text {four }} \\ \hline \end{array} $$

4 step solution

Problem 14

Convert the numeral to a numeral in base ten. \(3104_{\text {fifteen }}\)

3 step solution

Problem 14

Write each Hindu-Arabic numeral in expanded form. 902

3 step solution

Problem 15

Subtract in the indicated base. $$ \begin{array}{r} 23_{\text {five }} \\ -14_{\text {five }} \\ \hline \end{array} $$

4 step solution

Problem 15

Convert the numeral to a numeral in base ten. \(110101_{\text {two }}\)

3 step solution

Problem 15

Write each Hindu-Arabic numeral in expanded form. 4856

3 step solution

Problem 16

Subtract in the indicated base. $$ \begin{array}{r} 32_{\text {seven }} \\ -16_{\text {seven }} \\ \hline \end{array} $$

5 step solution

Problem 16

Convert the numeral to a numeral in base ten. \(101101_{\text {two }}\)

3 step solution

Problem 16

Write each Hindu-Arabic numeral in expanded form. 5749

4 step solution

Problem 17

Subtract in the indicated base. $$ \begin{array}{r} 475_{\text {eight }} \\ -267_{\text {eight }} \\ \hline \end{array} $$

3 step solution

Problem 17

Convert the numeral to a numeral in base ten. \(\mathrm{ACE} 5_{\text {sixteen }}\)

4 step solution

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Chapter 4 - Thinking Mathematically Solutions | StudyQuestionHub