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Ch 7: SHSAT Math: Number Theory

About This Chapter

Brush up on your understanding of scientific notation, prime factorizations, greatest common factors and least common multiples in preparation for SHSAT math questions. Our brief videos offer information that will help you answer questions on number theory on this test.

SHSAT Math: Number Theory - Chapter Summary

The lessons in this chapter can aid in your review of number theory as you study for the math segment of the SHSAT. Use our videos and quizzes to get information to answer questions on topics including:

  • How to convert numbers to scientific notation
  • Comparing numbers in scientific notation
  • Characteristics of prime and composite numbers
  • Prime factorization
  • Determining greatest common factors and least common multiples

Our lessons are taught by professionals who understand the concepts you need to know for good performance on the SHSAT. You can contact them through our message board if you have questions. Lesson quizzes, chapter tests and a comprehensive final exam offer several opportunities to gauge your learning before test day. A clickable timeline in each lesson makes it easy to go back and review specific points without having to re-watch the entire video.

SHSAT Math: Number Theory - Chapter Objectives

Taking the SHSAT is one of the requirements for applying to New York City's specialized high schools. There is a verbal portion and a math portion on the SHSAT. The math section contains 50 multiple-choice computation questions and word problems.

Because our lesson quizzes are also multiple choice, they provide good practice for this admissions test. You can assess your knowledge through our quizzes, and, if you miss an answer, use the links provided to jump back and review that part of the lesson.

9 Lessons in Chapter 7: SHSAT Math: Number Theory
Test your knowledge with a 30-question chapter practice test
Converting Numbers to Scientific Notation

1. Converting Numbers to Scientific Notation

After watching this video lesson, you will be able to convert any number you come across into scientific notation. You will also learn why scientific notation is used and where you are most likely to see it.

Comparing Numbers Written in Scientific Notation

2. Comparing Numbers Written in Scientific Notation

After watching this video lesson, you will be able to compare numbers written in scientific notation with each other. You will learn how to tell which is larger and which is smaller.

Identifying Prime & Composite Numbers

3. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

How to Find the Prime Factorization of a Number

4. 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.

Finding the Prime Factorization with Exponents

5. Finding the Prime Factorization with Exponents

After watching this video lesson, you will be able to factor any number using just prime numbers and exponents. Learn how to break apart any number you are given. Then, test your new knowledge with some examples.

How to Find the Greatest Common Factor

6. 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!

How to Find the Least Common Multiple

7. 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!

Using Prime Factorizations to Find the Least Common Multiples

8. Using Prime Factorizations to Find the Least Common Multiples

Finding the least common multiple can seem like a lot of work. But we can use prime factorization as a shortcut. Find out how and practice finding least common multiples in this lesson.

Word Problems: Greatest Common Factor & Least Common Multiple

9. Word Problems: Greatest Common Factor & Least Common Multiple

In this video lesson, you will learn what kinds of word problems you can expect to see that involve the greatest common factor or the least common multiple. Learn what you need to do to understand these problems and then to solve them.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the SHSAT: Practice & Study Guide course

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