Chapter 4

Prealgebra · 432 exercises

Problem 1

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{2}{14}$$

4 step solution

Problem 1

Express each number in standard form. $$3.08 \times 10^{-4}$$

5 step solution

Problem 1

Find each product or quotient. Express using exponents. $$9^{3} \cdot 9^{2}$$

3 step solution

Problem 1

Write each expression using a positive exponent. $$5^{-2}$$

4 step solution

Problem 1

Find the GCF of each set of numbers. $$6,8$$

4 step solution

Problem 1

Determine whether each number is prime or composite. $$7$$

5 step solution

Problem 1

Write each expression using exponents. $$n \cdot n \cdot n$$

3 step solution

Problem 2

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{9}{15}$$

5 step solution

Problem 2

Express each number in standard form. $$1.4 \times 10^{2}$$

4 step solution

Problem 2

Find each product or quotient. Express using exponents. $$11^{4} \cdot 11^{6}$$

4 step solution

Problem 2

Write each expression using a positive exponent. $$(-7)^{-1}$$

3 step solution

Problem 2

Find the GCF of each set of numbers. $$21,45$$

4 step solution

Problem 2

Determine whether each number is prime or composite. $$23$$

6 step solution

Problem 2

Write each expression using exponents. $$7 \cdot 7$$

3 step solution

Problem 3

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{5}{11}$$

2 step solution

Problem 3

Find each product or quotient. Express using exponents. $$6 \cdot 6^{6}$$

4 step solution

Problem 3

Write each expression using a positive exponent. $$t^{-6}$$

3 step solution

Problem 3

Find the GCF of each set of numbers. $$16,56$$

4 step solution

Problem 3

Determine whether each number is prime or composite. $$15$$

5 step solution

Problem 3

Write each expression using exponents. $$(-4)(-4)(-4)$$

3 step solution

Problem 4

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. \(\frac{25}{40}\)

4 step solution

Problem 4

Express each number in scientific notation. $$80,000,000$$

3 step solution

Problem 4

Find each product or quotient. Express using exponents. $$a \cdot a^{5}$$

4 step solution

Problem 4

Write each expression using a positive exponent. $$n^{-2}$$

3 step solution

Problem 4

Find the GCF of each set of numbers. $$28,42$$

4 step solution

Problem 4

One mathematical conjecture that is unproved states that there are infinitely many twin primes. Twin primes are prime numbers that differ by \(2,\) such as 3 and \(5 .\) List all the twin primes that are less than \(50 .\)

4 step solution

Problem 4

Write each expression using exponents. $$3 \cdot 3 \cdot x \cdot x \cdot x \cdot x$$

4 step solution

Problem 5

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{64}{68}$$

3 step solution

Problem 5

Express each number in scientific notation. $$697,000$$

4 step solution

Problem 5

Find each product or quotient. Express using exponents. $$\left(n^{4}\right)\left(n^{4}\right)$$

3 step solution

Problem 5

Write each fraction as an expression using a negative exponent other than \(-1\) $$\text { 5. } \frac{1}{3^{4}}$$

3 step solution

Problem 5

Find the GCF of each set of numbers. $$12,24,36$$

5 step solution

Problem 5

Write the prime factorization of each number. Use exponents for repeated factors. $$18$$

4 step solution

Problem 5

Write each expression using exponents. $$(y-3)(y-3)(y-3)$$

2 step solution

Problem 6

6\. MULTIPLE CHOICE Nine inches is what part of 1 yard? $$\mathbf{A} \frac{1}{8}$$ $$\mathbf{B} \frac{1}{5}$$ $$\mathbf{C} \frac{1}{4}$$ $$\mathbf{D} \frac{1}{2}$$

4 step solution

Problem 6

Express each number in scientific notation. $$0.059$$

4 step solution

Problem 6

Find each product or quotient. Express using exponents. $$-3 x^{2}\left(4 x^{3}\right)$$

4 step solution

Problem 6

Write each fraction as an expression using a negative exponent other than \(-1\) $$\frac{1}{9^{2}}$$

3 step solution

Problem 6

Find the GCF of each set of numbers. $$6,15,24$$

3 step solution

Problem 6

Write the prime factorization of each number. Use exponents for repeated factors. $$39$$

4 step solution

Problem 6

Write each expression using exponents. $$(a+1)(a+1)$$

3 step solution

Problem 7

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{x}{x^{2}}$$

4 step solution

Problem 7

Find each product or quotient. Express using exponents. $$\frac{3^{8}}{3^{5}}$$

3 step solution

Problem 7

Write each fraction as an expression using a negative exponent other than \(-1\) $$\frac{1}{49}$$

3 step solution

Problem 7

PARADES In the parade, 36 members of the color guard are to march in front of 120 members of the high school marching band. Both groups are to have the same number of students in each row. Find the greatest number of students that could be in each row.

6 step solution

Problem 7

Write the prime factorization of each number. Use exponents for repeated factors. $$50$$

4 step solution

Problem 7

Evaluate each expression. $$2^{4}$$

3 step solution

Problem 8

Write each fraction in simplest form. If the fraction is already in simplest form, write simplified. $$\frac{8 a^{2}}{16 a}$$

4 step solution

Problem 8

Rank the geological time periods from oldest to youngest. (THE IMAGES CANNOT COPY)

4 step solution

Problem 8

Find each product or quotient. Express using exponents. $$\frac{10^{5}}{10^{3}}$$

4 step solution

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