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