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

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