About This Chapter
Who's it for?
Anyone who needs help learning or mastering ACT preparation material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better ACT scores. You're in the right place if you:
- Have fallen behind in understanding fractions, decimals and other pre-algebra topics
- Need an efficient way to learn pre-algebra
- Learn best with engaging auditory and visual tools
- Struggle with learning disabilities or learning differences, including autism and ADHD
- Experience difficulty understanding your teachers
- Missed class time and need to catch up
- Can't access extra ACT review resources at school
How it works:
- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the ACT Math - Pre-Algebra chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the ACT Math - Pre-Algebra chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any pre-algebra question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
In this chapter, you'll learn the answer to questions including:
- How do I compare and order decimals?
- What is scientific notation?
- How can I find the least common multiple?
- How do I multiply fractions and mixed numbers?
- What is a percent?
- How can I perform calculations with ratios and proportions?
1. Arithmetic with Whole Numbers
There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.
2. What are the Different Types of Numbers?
Learn all of the different types of numbers: natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers. This video lesson teaches you how to classify any numbers you come across.
3. What is a Decimal Place Value?
In this video lesson, you will see how a decimal, a simple dot, can change the place value of all the digits in a number. You will also learn how to read decimals using place values.
4. Comparing and Ordering Decimals
In this video lesson, you'll find out how you can look at any two decimals and immediately tell which is greater than the other. You'll also learn how to quickly sort decimals from least to greatest or vice versa.
5. Arithmetic with Decimal Numbers
Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!
6. How to Build and Reduce Fractions
Fractions are a fundamental part of everyday life. Fractions represent a comparison of a part to the whole. To reduce fractions, we will divide by the greatest common factor, or the GCF.
7. Scientific Notation: Definition and Examples
Scientific notation is a special way of writing numbers so they are easier to work with. This lesson will define scientific notations and show some examples of how to convert numbers from standard notation to scientific notation and back.
8. Scientific Notation: Practice Problems
Scientific notation has a lot of exponents, but it's really not that bad - and it's really convenient for working with awkwardly big or small numbers! Get some practice here.
9. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
10. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
11. How to Find the Least Common Multiple
The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!
12. How to Add and Subtract Like Fractions and Mixed Numbers
When adding and subtracting fractions, you must be sure to have a common denominator. Once you have a common denominator, you just add or subtract your numerators and then your whole numbers. Learn how in this lesson.
13. How to Add and Subtract Unlike Fractions and Mixed Numbers
Simple fraction arithmetic gets a little more complicated when our denominators don't match. In this lesson, we'll learn how to add and subtract unlike fractions. Then, we'll do the same with mixed numbers.
14. Multiplying Fractions and Mixed Numbers
Multiplying fractions is much more straightforward than adding, subtracting or dividing fractions. In this lesson, learn how it works. We'll also learn how to multiply mixed numbers.
15. Dividing Fractions and Mixed Numbers
Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.
16. Practice with Fraction and Mixed Number Arithmetic
Adding whole numbers is one thing. But adding fractions and mixed numbers? That's not so simple. Or is it? In this lesson, we'll practice arithmetic with both fractions and mixed numbers.
17. Calculations with Ratios and Proportions
Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.
18. What is a Percent? - Definition & Examples
Thinking in terms of pizza is an excellent way to think about percentages. Learn how it can help you understand percentages in this video lesson. You will also learn about the uses of percentages in the real world.
19. Solve Problems Using Percents
Percents are your friend. Think of all the cool things percents do for you. They save you money, and they tell you how well you are doing in school. Learn how you can solve problems with percents in this video lesson.
20. Relation in Math: Definition & Examples
In this lesson, you will learn the definition of relation in terms of mathematics, as well as the various ways of displaying relations. We will also look at some examples.
Earning College Credit
Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the ACT Prep: Help and Review course
- ACT - About the Test: Help and Review
- ACT English - Section Overview: Help and Review
- ACT English - Punctuation: Help and Review
- ACT English - Grammar and Usage: Help and Review
- ACT English - Sentence Structure: Help and Review
- ACT English - Rhetorical Strategy: Help and Review
- ACT English - Organization: Help and Review
- ACT English - Style: Help and Review
- ACT Math - Overview: Help and Review
- ACT Math - Algebraic Expressions: Help and Review
- ACT Math - Radicals: Help and Review
- ACT Math - Linear Equations: Help and Review
- ACT Math - Functions: Help and Review
- ACT Math - Absolute Value: Help and Review
- ACT Math - Matrices: Help and Review
- ACT Math - Inequalities: Help and Review
- ACT Math - Probability: Help and Review
- ACT Math - Data and Statistics: Help and Review
- ACT Math - Exponents: Help and Review
- ACT Math - Polynomials and Quadratics: Help and Review
- ACT Math - Rational Equations: Help and Review
- ACT Math - Sequences: Help and Review
- ACT Math - Complex Numbers: Help and Review
- ACT Math - Exponentials and Logarithms: Help and Review
- ACT Math - Coordinate Geometry: Help and Review
- ACT Math - Triangles: Help and Review
- ACT Math - Plane Geometry: Help and Review
- ACT Math - Logic in Mathematics: Help and Review
- ACT Math - Trigonometry: Help and Review
- ACT Science Reasoning - Overview: Help and Review
- ACT Science Reasoning - Fundamentals: Help and Review
- ACT Reading - Overview: Help and Review
- ACT Reading - Question Types: Help and Review
- ACT Reading - Understanding Passages: Help and Review
- ACT Reading - Literary Terms: Help and Review
- ACT Reading - Practice: Help and Review
- ACT Writing - Overview: Help and Review
- ACT Writing - Essay Skills: Help and Review
- ACT Writing - Essay Parts: Help and Review
- ACT Writing - Planning: Help and Review
- ACT Writing - Advanced Skills: Help and Review