About This Chapter
ACT Math: Number & Quantity - Chapter Summary
This comprehensive ACT study guide chapter goes over number and quantity concepts that are covered on the exam's math section. As you prepare for the ACT, review these fun lessons to study the foundations of whole numbers, decimals, fractions, patterns and more. When you're finished with the chapter, you should be equipped to:
- Compare the different types of numbers
- Find whole number and decimal place values
- Read a number line
- Round whole numbers and perform arithmetic with whole numbers
- Compare/order decimals and fractions
- Perform arithmetic with whole numbers, decimals and fractions
- Build/reduce fractions and recognize equivalent fractions
- Analyze types of patterns in math
Each lesson comes with a short quiz to help you practice solving number and quantity problems. You can also take the accompanying chapter exam to practice even more. If you get stuck or need clarification on a lesson topic, simply use the chapter's Ask the Expert feature. Use any computer or mobile device to access these resources, or print out the lesson transcripts if you want to study offline.
1. 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.
2. Finding Place Values in Whole Numbers
After watching this video lesson, you will be able to find the location of any place value that you are given. You will also be able to identify them in any whole number.
3. What Is a Number Line?
A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.
4. How to Round Whole Numbers
View this lesson to learn how you can round whole numbers. Practice rounding to the nearest tens and hundreds. Learn which digit you need to look at to know whether to round up or down.
5. 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.
6. 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.
7. 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.
8. 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!
9. 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.
10. What are Equivalent Fractions? - Definition & Examples
In this lesson, you'll review some fraction terminology and then learn what equivalent fractions are. Afterward, you can test your new knowledge with a brief quiz.
11. Comparing and Ordering Fractions
Comparing and ordering fractions is way to examine fractions that contain different-sized sets. In order to compare these fractions, you must find a common denominator and make equivalent fractions.
12. What is a Pattern in Math? - Definition & Rules
Some people say that doing the same thing over and over again will not get you results, but this lesson will teach you about mathematical patterns and show you how to prove those people wrong.
13. Identifying & Extending Different Types of Patterns
In this lesson, we will look at different ways patterns present themselves in the world around us. We will take a look at how to identify patterns and how to extend patterns and use this in some real-world examples.
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Other chapters within the ACT Prep: Practice & Study Guide course
- ACT: About the Test
- ACT English: Section Overview
- ACT English: Punctuation
- ACT English: Grammar and Usage
- ACT English: Sentence Structure
- ACT English: Parts of an Essay
- ACT English: Rhetorical Strategy
- ACT English: Organization
- ACT English: Style
- ACT Math: Overview
- ACT Math: Pre-Algebra
- ACT Math: Algebraic Expressions
- ACT Math: Radicals
- ACT Math: Linear Equations
- ACT Math: Functions
- ACT Math: Types of Functions
- ACT Math: Absolute Value
- ACT Math: Matrices
- ACT Math: Inequalities
- ACT Math: Probability, Combinations & Factorial
- ACT Math: Data and Statistics
- ACT Math: Exponents
- ACT Math: Polynomials and Quadratics
- ACT Math: Rational Equations and Expressions
- ACT Math: Sequences
- ACT Math: Complex Numbers
- ACT Math: Exponentials and Logarithms
- ACT Math: Coordinate Geometry
- ACT Math: Conic Sections
- ACT Math: Triangles
- ACT Math: Plane Geometry
- ACT Math: Lines and Angles
- ACT Math: Trigonometry
- ACT Science Reasoning: Overview
- ACT Science Reasoning: Fundamentals of Science
- ACT Science Reasoning: Evaluating Models
- ACT Reading: Overview
- ACT Reading: Question Types
- ACT Reading: Understanding Reading Passages
- ACT Reading: Word Meanings and Choice
- ACT Reading: Analyzing Reading Passages
- ACT Reading: Practice
- ACT Writing: Overview
- ACT Writing: Essay Skills
- ACT Writing: Planning and Writing
- ACT Writing: Advanced Writing Skills
- ACT Prep Flashcards