About This Chapter
ASVAB: Numbers & Operations - Chapter Summary
This chapter will go over the order of steps to take when simplifying and solving various expressions, and it also discusses the PEMDAS shortcut that can be used. The lessons in this Numbers and Operations chapter can help to ensure that you're also prepared for any ASVAB questions requiring familiarity with:
- Factoring in algebra
- Using exponential notation
- Arithmetic calculations with signed numbers
- Finding prime factorization of a number
- Finding square roots and understanding the order of operations
- Identifying the greatest common factor and least common multiple
- Simplifying square roots when not a perfect square
The helpful examples in this chapter that you'll see in video and in text will reinforce your understanding of how to solve a variety of problems. You can conveniently demonstrate your grip on the material by taking a practice quiz that's included with each lesson.
Objectives of the ASVAB: Numbers & Operations Chapter
The ASVAB is used as an indicator of how well someone will perform in the military, based on the competencies measured. The multiple-choice practice questions that you can take across this chapter encompass subject matter that you could be asked about on the ASVAB's Mathematics Knowledge subtest. All questions belonging to this subtest make up around 11% of the ASVAB's questions overall.
1. What is Factoring in Algebra? - Definition & Example
Factoring with ordinary numbers involves knowing that 6 is the product of 2 and 3. But what about factoring in algebra? In this lesson, we'll learn the essential elements of algebra factoring.
2. 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!
3. 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.
4. 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.
5. How to Use Exponential Notation
Exponential notation is a mathematical method for writing longer multiplication problems in a simplified manner. This lesson will define how to work with exponential notation and give some examples of how it is used.
6. Evaluating Square Roots of Perfect Squares
Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.
7. Simplifying Square Roots When not a Perfect Square
Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.
8. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
9. Arithmetic Calculations with Signed Numbers
Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.
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