Chapter 2
Basic College Mathematics · 397 exercises
Problem 1
Determine whether the second number is a factor of the first. $$ 52 ; 14 $$
3 step solution
Problem 1
Identify the numerator and the denominator. $$ \frac{3}{4} $$
3 step solution
Problem 1
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{1}{2}=\frac{?}{10} $$
4 step solution
Problem 1
Multiply. $$ \frac{2}{5} \cdot \frac{2}{3} $$
3 step solution
Problem 1
Multiply and simplify. $$ \frac{2}{3} \cdot \frac{1}{2} $$
4 step solution
Problem 1
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 84 is divisible by \(3 .\)
3 step solution
Problem 1
Find the reciprocal of each number. \(\frac{5}{6}\)
3 step solution
Problem 2
Determine whether the second number is a factor of the first. $$ 52 ; 13 $$
4 step solution
Problem 2
Identify the numerator and the denominator. $$ \frac{9}{10} $$
3 step solution
Problem 2
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{1}{6}=\frac{?}{18} $$
4 step solution
Problem 2
Multiply. $$ \frac{3}{4} \cdot \frac{3}{5} $$
3 step solution
Problem 2
Multiply and simplify. $$ \frac{3}{8} \cdot \frac{1}{3} $$
3 step solution
Problem 2
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 84 is divisible by \(3 .\)
3 step solution
Problem 2
Find the reciprocal of each number. \(\frac{7}{8}\)
4 step solution
Problem 3
Determine whether the second number is a factor of the first. $$ 625 ; 25 $$
4 step solution
Problem 3
Identify the numerator and the denominator. $$ \frac{11}{2} $$
3 step solution
Problem 3
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{5}{8}=\frac{?}{32} $$
3 step solution
Problem 3
Multiply. $$ 10 \cdot \frac{7}{9} $$
6 step solution
Problem 3
Multiply and simplify. $$ \frac{7}{8} \cdot \frac{1}{7} $$
4 step solution
Problem 3
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 5553 is divisible by \(5 .\)
3 step solution
Problem 3
Find the reciprocal of each number. 6
3 step solution
Problem 4
Determine whether the second number is a factor of the first. $$ 680 ; 16 $$
4 step solution
Problem 4
Identify the numerator and the denominator. $$ \frac{18}{5} $$
2 step solution
Problem 4
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{2}{9}=\frac{?}{18} $$
3 step solution
Problem 4
Multiply. $$ 9 \cdot \frac{5}{8} $$
6 step solution
Problem 4
Multiply and simplify. $$ \frac{4}{9} \cdot \frac{1}{4} $$
3 step solution
Problem 4
Find the reciprocal of each number. 4
4 step solution
Problem 5
List all the factors of each number. $$ 18 $$
5 step solution
Problem 5
Identify the numerator and the denominator. $$ \frac{0}{7} $$
2 step solution
Problem 5
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{9}{10}=\frac{?}{30} $$
4 step solution
Problem 5
Multiply. $$ \frac{7}{8} \cdot \frac{7}{8} $$
3 step solution
Problem 5
Multiply and simplify. $$ \frac{1}{8} \cdot \frac{4}{5} $$
5 step solution
Problem 5
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 671,500 is divisible by 10
4 step solution
Problem 5
Find the reciprocal of each number. \(\frac{1}{6}\)
4 step solution
Problem 6
List all the factors of each number. $$ 16 $$
3 step solution
Problem 6
Identify the numerator and the denominator. $$ \frac{1}{13} $$
3 step solution
Problem 6
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{5}{6}=\frac{?}{48} $$
4 step solution
Problem 6
Multiply. $$ \frac{4}{5} \cdot \frac{4}{5} $$
4 step solution
Problem 6
Multiply and simplify. $$ \frac{2}{5} \cdot \frac{1}{6} $$
4 step solution
Problem 6
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 671,500 is divisible by 10
3 step solution
Problem 6
Find the reciprocal of each number. \(\frac{1}{4}\)
4 step solution
Problem 7
List all the factors of each number. $$ 54 $$
6 step solution
Problem 7
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{5}{12}=\frac{?}{48} $$
4 step solution
Problem 7
Multiply. $$ \frac{2}{3} \times \frac{1}{5} $$
3 step solution
Problem 7
Multiply and simplify. $$ \frac{1}{4} \cdot \frac{2}{3} $$
4 step solution
Problem 7
For Exercises \(1-16,\) answer yes or no and give a reason based on the tests for divisibility. Determine whether 1773 is divisible by \(9 .\)
3 step solution
Problem 7
Find the reciprocal of each number. \(\frac{10}{3}\)
3 step solution
Problem 8
List all the factors of each number. $$ 48 $$
5 step solution
Problem 8
Find another name for the given number, but with the denominator indicated. Use multiplying by 1 . $$ \frac{5}{3}=\frac{?}{45} $$
4 step solution
Problem 8
Multiply. $$ \frac{3}{5} \times \frac{1}{5} $$
4 step solution