Chapter 3

Fundamentals of Mathematics · 453 exercises

Problem 8

Find the greatest common factor (GCF) of the numbers. 8 and 12

3 step solution

Problem 8

Determine which of the following whole numbers are prime and which are composite. 3

3 step solution

Problem 8

Determine the value of each of the following. \((55-6)-(13 \cdot 2)\)

3 step solution

Problem 8

Find the following roots using only a knowledge of multiplication. $$\sqrt{100}$$

4 step solution

Problem 9

Determine the value of each expression. \(\sqrt[3]{27}\)

3 step solution

Problem 9

Determine the value of each power and root. \(2^{5}\)

5 step solution

Problem 9

Find the first five common multiples of the following numbers. 3 and 6

5 step solution

Problem 9

Find the greatest common factor (GCF) of the numbers. 9 and 12

3 step solution

Problem 9

Determine which of the following whole numbers are prime and which are composite. 16

5 step solution

Problem 9

Determine the value of each of the following. \(23+(12 \div 4)-(11 \cdot 2)\)

6 step solution

Problem 9

Find the following roots using only a knowledge of multiplication. \(\sqrt[3]{64}\)

4 step solution

Problem 10

Determine the value of each expression. \(\sqrt[8]{1}\)

4 step solution

Problem 10

Determine the value of each power and root. \(3^{4}\)

5 step solution

Problem 10

Find the first five common multiples of the following numbers. 4 and 5

4 step solution

Problem 10

Find the greatest common factor (GCF) of the numbers. 20 and 24

5 step solution

Problem 10

Determine which of the following whole numbers are prime and which are composite. 21

5 step solution

Problem 10

Determine the value of each of the following. \(86+[14 \div(10-8)]\)

4 step solution

Problem 10

Find the following roots using only a knowledge of multiplication. \(\sqrt[6]{64}\)

4 step solution

Problem 11

Determine the value of each expression. \(16+2 \cdot(8-6)\)

3 step solution

Problem 11

Determine the value of each power and root. \(15^{2}\)

3 step solution

Problem 11

Find the LCM of the following numbers. 20 and 54

3 step solution

Problem 11

Find the greatest common factor (GCF) of the numbers. 35 and 175

3 step solution

Problem 11

Determine which of the following whole numbers are prime and which are composite. 35

6 step solution

Problem 11

Determine the value of each of the following. \(31+\\{9+[1+(35-2)]\\}\)

4 step solution

Problem 11

Use a calculator to find the following roots. \(\sqrt[3]{729}\)

4 step solution

Problem 12

Determine the value of each expression. \(5^{3}-\sqrt{100}+8 \cdot 2-20 \div 5\)

5 step solution

Problem 12

Determine the value of each power and root. \(20^{2}\)

3 step solution

Problem 12

Find the LCM of the following numbers. 14 and 28

4 step solution

Problem 12

Find the greatest common factor (GCF) of the numbers. 25 and 45

3 step solution

Problem 12

Determine which of the following whole numbers are prime and which are composite. 47

6 step solution

Problem 12

Determine the value of each of the following. \(\\{6-[24 \div(4 \cdot 2)]\\}^{3}\)

5 step solution

Problem 12

Use a calculator to find the following roots. \(\sqrt[4]{8503056}\)

5 step solution

Problem 13

Determine the value of each expression. \(3 \cdot \frac{8^{2}-2 \cdot 3^{2}}{5^{2}-2} \cdot \frac{6^{3}-4 \cdot 5^{2}}{29}\)

6 step solution

Problem 13

Determine the value of each power and root. \(25^{2}\)

3 step solution

Problem 13

Find the LCM of the following numbers. 6 and 63

4 step solution

Problem 13

Find the greatest common factor (GCF) of the numbers. 45 and 189

4 step solution

Problem 13

Determine which of the following whole numbers are prime and which are composite. 29

6 step solution

Problem 13

Determine the value of each of the following. \(8+(32-7)\)

2 step solution

Problem 13

Use a calculator to find the following roots. \(\sqrt{53361}\)

5 step solution

Problem 14

Determine the value of each expression. \(\frac{20+2^{4}}{2^{3} \cdot 2-5 \cdot 2} \cdot \frac{5 \cdot 7-\sqrt{81}}{7+3 \cdot 2}\)

7 step solution

Problem 14

Determine the value of each power and root. \(\sqrt{36}\)

4 step solution

Problem 14

Find the LCM of the following numbers. \(28,40,\) and 98

4 step solution

Problem 14

Find the greatest common factor (GCF) of the numbers. 66 and 165

5 step solution

Problem 14

Determine which of the following whole numbers are prime and which are composite. 101

6 step solution

Problem 14

Determine the value of each of the following. \((34+18-2 \cdot 3)+11\)

2 step solution

Problem 14

Use a calculator to find the following roots. \(\sqrt[12]{16777216}\)

4 step solution

Problem 15

Determine the value of each expression. $$ \underline{\phantom{xxx}}\left[(8-3)^{2}+(33-4 \sqrt{49})\right]-2\left[\left(10-3^{2}\right)+9\right]-5$$

5 step solution

Problem 15

Determine the value of each power and root. \(\sqrt{225}\)

5 step solution

Problem 15

Find the LCM of the following numbers. \(16,27,125,\) and 363

4 step solution

Problem 15

Find the greatest common factor (GCF) of the numbers. 264 and 132

5 step solution

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