About This Chapter
Who's it for?
Anyone who needs help learning or mastering integrated algebra material can benefit from taking this course. There is no faster or easier way to learn integrated algebra. Among those who would benefit are:
- Students who have fallen behind in understanding estimating with decimals and fractions or working with number lines to compare decimals, fractions and whole numbers
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about problems with decimals and fractions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Problems with Decimals and Fractions 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 Problems with Decimals and Fractions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any decimals and fractions question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a Decimals and Fractions unit of a standard integrated algebra course. Topics covered include:
- Arithmetic with decimals
- Building and reducing fractions
- Comparing and ordering fractions
- Changing between improper fractions and mixed number form
- Adding, subtracting, multiplying and dividing fractions and mixed numbers
- Estimating with decimals and fractions
- Simplifying word problems with fractions using whole numbers
1. 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!
2. How to Estimate with Decimals to Solve Math Problems
Watch this video lesson to learn how you can estimate problems with decimals in them so you can get a quick answer when you need it - for example, when you are at the gas station and you need to know how much gas you can afford.
3. 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.
4. How to Find Least Common Denominators
Finding a Least Common Denominator is an important tool when working with fractions. To find least common denominators, we will use multiples of our numbers.
5. 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.
6. Changing Between Improper Fraction and Mixed Number Form
Improper fractions and mixed numbers are two different types of fractions. They both have different purposes when using fractions in a problem. In this lesson, you will learn how to convert between these two different forms.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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.
12. Estimation Problems using Fractions
When working with fractions, estimating can save time and effort while getting you very close to the correct answer. In this lesson, we'll learn how to use estimation to quickly solve problems involving fractions.
13. Solving Problems using Fractions and Mixed Numbers
Fractions don't just live in math problems. They're all around us, helping us through our lives. In this lesson, we'll look at real scenarios where your ability to work with fractions can save the day.
14. How to Solve Complex Fractions
Did you know fractions can nest within fractions? In this lesson, we'll learn about complex fractions and look at two different methods for solving them.
15. Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
Watch this video lesson to learn how useful the number line can be when you need to compare two different numbers, be they whole numbers, decimals or even fractions. Learn how to plot these numbers on the number line so you can compare them.
16. How to Simplify Word Problems with Fractions Using Whole Numbers
Watch this video lesson to learn how to solve word problems with fractions in them easily by turning your fractions into whole numbers. Learn what you need to do to get rid of your fractions so you can easily solve your problem.
17. Repeating Decimals: Definition & Examples
Repeating decimals are a special type of number. In this lesson, we will explore the definition of this number and look at some of the properties it holds.
18. Terminating Decimal: Definition & Example
In this lesson, you will learn about the definition of a terminating decimal and walk through several examples. At the end, you'll get to test your new knowledge with a quiz.
19. 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.
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Other chapters within the NY Regents Exam - Integrated Algebra: Help and Review course
- NY Regents - Number Theory & Basic Arithmetic: Help and Review
- NY Regents - Problems with Percents: Help and Review
- NY Regents - Problems with Exponents: Help and Review
- NY Regents - Problems with Exponential Expressions: Help and Review
- Radical Expressions & Equations Problems: Help & Review
- Algebraic Expression & Equation Problems: Help & Review
- NY Regents - Distributing Terms in Algebra: Help and Review
- Inequalities & Linear Equations in Algebra: Help & Review
- NY Regents - Matrices and Absolute Value: Help and Review
- NY Regents - Overview of Functions: Help and Review
- NY Regents - Factoring with Variables: Help and Review
- NY Regents - Quadratics & Polynomials: Help and Review
- NY Regents - Rational Expressions: Help and Review
- NY Regents - Graphing Functions: Help and Review
- Ratios, Percent & Proportions: Help & Review
- NY Regents - Sets: Help and Review
- NY Regents - Probability and Statistics: Help and Review
- NY Regents - Probability Mechanics: Help and Review
- NY Regents - Working with Data: Help and Review
- NY Regents - Well-Known Equations: Help and Review
- NY Regents - Intro to Trigonometry: Help and Review
- NY Regents - Measurement for Algebra Students: Help and Review
- NY Regents - Geometry for Algebra Students: Help and Review
- NY Regents Exam - Integrated Algebra Help and Review Flashcards