# Ch 10: ACT Math - Pre-Algebra: Tutoring Solution

### About This Chapter

## How it works:

- Begin your review or other pre-algebra work.
- Identify the pre-algebra concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our ACT math - pre-algebra tutoring solution will benefit any student who is trying to learn pre-algebra and earn acceptable scores. This resource can help students including those who:

- Struggle with understanding decimals, fractions, percents, ratios and proportions, or any other pre-algebra topic
- Have limited time for studying
- Want a cost effective way to supplement their ACT preparation
- Prefer learning ACT topics visually
- Find themselves struggling with the pre-algebra portion of the review
- Cope with ADD or ADHD
- Want to get ahead in their ACT preparation
- Don't have access to ACT review materials

## Why it works:

**Engaging Tutors:**We make learning pre-algebra simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live ACT prep tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Review pre-algebra on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Review the basic mathematical operations.
- Differentiate among different types of numbers, including whole numbers, integers, irrational numbers and real numbers.
- Learn to compare, order and do arithmetic with decimals.
- Find out how to reduce fractions.
- Learn to convert numbers from standard to scientific notation and vice versa.
- Build your skills in solving problems with percents.
- Review how to find the prime factorization of a number and the least common multiple.
- Find out how to add, subtract, multiply and divide fractions and mixed numbers.
- Learn to perform calculations with ratios and proportions.
- Review how to calculate mean, median, mode and range.
- Build your understanding of bar graphs and pie charts.

### 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.

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### Other Chapters

Other chapters within the ACT Prep: Tutoring Solution course

- ACT - About the Test: Tutoring Solution
- ACT English - Section Overview: Tutoring Solution
- ACT English - Punctuation: Tutoring Solution
- ACT English - Grammar and Usage: Tutoring Solution
- ACT English - Sentence Structure: Tutoring Solution
- ACT English - Rhetorical Strategy: Tutoring Solution
- ACT English - Organization: Tutoring Solution
- ACT English - Style: Tutoring Solution
- ACT Math - Overview: Tutoring Solution
- ACT Math - Algebraic Expressions: Tutoring Solution
- ACT Math - Radicals: Tutoring Solution
- ACT Math - Linear Equations: Tutoring Solution
- ACT Math - Functions: Tutoring Solution
- ACT Math - Absolute Value: Tutoring Solution
- ACT Math - Matrices: Tutoring Solution
- ACT Math - Inequalities: Tutoring Solution
- ACT Math - Probability: Tutoring Solution
- ACT Math - Data and Statistics: Tutoring Solution
- ACT Math - Exponents: Tutoring Solution
- ACT Math - Polynomials and Quadratics: Tutoring Solution
- ACT Math - Rational Equations: Tutoring Solution
- ACT Math - Sequences: Tutoring Solution
- ACT Math - Complex Numbers: Tutoring Solution
- ACT Math - Exponentials and Logarithms: Tutoring Solution
- ACT Math - Coordinate Geometry: Tutoring Solution
- ACT Math - Conic Sections: Tutoring Solution
- ACT Math - Triangles: Tutoring Solution
- ACT Math - Plane Geometry: Tutoring Solution
- ACT Math - Logic in Mathematics: Tutoring Solution
- ACT Math - Trigonometry: Tutoring Solution
- ACT Science Reasoning - Overview: Tutoring Solution
- ACT Science Reasoning - Fundamentals: Tutoring Solution
- ACT Reading - Overview: Tutoring Solution
- ACT Reading - Question Types: Tutoring Solution
- ACT Reading - Understanding Passages: Tutoring Solution
- ACT Reading - Literary Terms: Tutoring Solution
- ACT Reading - Practice: Tutoring Solution
- ACT Writing - Overview: Tutoring Solution
- ACT Writing - Essay Skills: Tutoring Solution
- ACT Writing - Essay Parts: Tutoring Solution
- ACT Writing - Planning: Tutoring Solution
- ACT Writing - Advanced Skills: Tutoring Solution