Chapter 3

Fundamentals of Mathematics · 453 exercises

Problem 15

Determine which of the following whole numbers are prime and which are composite. 51

4 step solution

Problem 15

Determine the value of each of the following. $$8(10)+4(2+3)-(20+3 \cdot 15+40-5)$$

5 step solution

Problem 15

Write the expressions using exponential notation. 15 $$4 \cdot 4$$

4 step solution

Problem 16

Find the prime factorization of each whole number. If the number is prime, write "prime." 18

4 step solution

Problem 16

Determine the value of each power and root. \(\sqrt[3]{64}\)

3 step solution

Problem 16

Find the least common multiple of the numbers. 8 and 12

5 step solution

Problem 16

Find the greatest common factor (GCF) of the numbers. 99 and 135

4 step solution

Problem 16

Determine the value of each of the following. \(5 \cdot 8+4^{2}-2^{2}\)

4 step solution

Problem 16

Write the expressions using exponential notation. $$12 \cdot 12$$

3 step solution

Problem 17

Find the prime factorization of each whole number. If the number is prime, write "prime." 68

4 step solution

Problem 17

Determine the value of each power and root. \(\sqrt[4]{16}\)

5 step solution

Problem 17

Find the least common multiple of the numbers. 6 and 15

3 step solution

Problem 17

Find the greatest common factor (GCF) of the numbers. 65 and 15

3 step solution

Problem 17

Determine the value of each of the following. \(4\left(6^{2}-3^{3}\right) \div\left(4^{2}-4\right)\)

4 step solution

Problem 17

Write the expressions using exponential notation. $$9 \cdot 9 \cdot 9 \cdot 9$$

3 step solution

Problem 18

Find the prime factorization of each whole number. If the number is prime, write "prime." 142

6 step solution

Problem 18

Determine the value of each power and root. \(\sqrt{0}\)

2 step solution

Problem 18

Find the least common multiple of the numbers. 8 and 10

4 step solution

Problem 18

Find the greatest common factor (GCF) of the numbers. 33 and 77

3 step solution

Problem 18

Determine the value of each of the following. $$(8+9 \cdot 3) \div 7+5 \cdot(8 \div 4+7+3 \cdot 5) $$

4 step solution

Problem 18

Write the expressions using exponential notation. $$10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10$$

3 step solution

Problem 19

Find the prime factorization of each whole number. If the number is prime, write "prime." 151

4 step solution

Problem 19

Determine the value of each power and root. \(\sqrt[3]{1}\)

3 step solution

Problem 19

Find the least common multiple of the numbers. 10 and 14

5 step solution

Problem 19

Find the greatest common factor (GCF) of the numbers. 245 and 80

4 step solution

Problem 19

Determine the value of each of the following. \(\frac{3^{3}+2^{3}}{6^{2}-29}+5\left(\frac{8^{2}+2^{4}}{7^{2}-3^{2}}\right) \div \frac{8 \cdot 3+1^{8}}{2^{3}-3}\)

3 step solution

Problem 19

Write the expressions using exponential notation. $$826 \cdot 826 \cdot 826$$

3 step solution

Problem 20

Find the prime factorization of each whole number. If the number is prime, write "prime." 468

5 step solution

Problem 20

Determine the value of each power and root. \(\sqrt[3]{216}\)

3 step solution

Problem 20

Find the least common multiple of the numbers. 4 and 6

5 step solution

Problem 20

Find the greatest common factor (GCF) of the numbers. 351 and 165

4 step solution

Problem 20

Use a calculator to find each value. \(9,285+86(49)\)

3 step solution

Problem 20

Write the expressions using exponential notation. $$3,021 \cdot 3,021 \cdot 3,021 \cdot 3,021 \cdot 3,021$$

3 step solution

Problem 21

Find the greatest common factor. 200 and 36

4 step solution

Problem 21

Determine the value of each power and root. \(\sqrt{144}\)

4 step solution

Problem 21

Find the least common multiple of the numbers. 6 and 12

3 step solution

Problem 21

Find the greatest common factor (GCF) of the numbers. \(60,140,\) and 100

3 step solution

Problem 21

Find the prime factorization of each whole number. 1,617

7 step solution

Problem 21

Use a calculator to find each value. $$55(84-26)+120(512-488) $$

4 step solution

Problem 21

Write the expressions using exponential notation. \(\underbrace{6 \cdot 6 \cdots \cdots 6}_{85 \text { factors of } 6}\)

3 step solution

Problem 22

Find the greatest common factor. 900 and 135

5 step solution

Problem 22

Determine the value of each power and root. \(\sqrt{196}\)

4 step solution

Problem 22

Find the least common multiple of the numbers. 9 and 18

4 step solution

Problem 22

Find the greatest common factor (GCF) of the numbers. \(147,343,\) and 231

5 step solution

Problem 22

Find the prime factorization of each whole number. 17

4 step solution

Problem 22

Use a calculator to find each value. $$106^{3}-17^{4}$$

3 step solution

Problem 22

Write the expressions using exponential notation. \(\underbrace{2 \cdot 2 \cdots \cdots 2}_{112 \text { factors of } 2}\)

4 step solution

Problem 23

Write all the factors of 36 .

6 step solution

Problem 23

Determine the value of each power and root. \(\sqrt{1}\)

2 step solution

Problem 23

Find the least common multiple of the numbers. 6 and 8

4 step solution

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