## SAT SUBJECT TEST MATH LEVEL 1

## TOPICS IN ARITHMETIC

## CHAPTER 2

Basic Arithmetic

• The Number Line

• Absolute Value

• Addition, Subtraction, Multiplication, Division

• Integers

• Exponents and Roots

• Squares and Square Roots

• Logarithms

• PEMDAS

• Exercises

• Answers Explained

**T**o do well on the Math Level 1 test, you need a good working knowledge of arithmetic—not because there are several questions on arithmetic (in fact, there are very few) but because arithmetic is the basis for much of the math that *is* on the test. In theory, you do not have to know how to subtract negative numbers, how to add fractions, or what fractional and negative exponents mean because you can use your calculator to evaluate (–3) – (–5) and and . However, you must know the rules so that you can subtract (–3*xy*) – (–5*xy*) and add and simplify .

### THE NUMBER LINE

On the Math 1 test, one or two questions will involve *i*, the imaginary unit, which you will read about later in Chapter 17. Otherwise, the word *number**always* means ** real number**, a number that can be represented by a point on the number line.

A ** positive number** is a number that lies to the right of 0 on the number line. A

**lies to the left of 0 on the number line.**

*negative number***Key Fact A1**

**TRICHOTOMY LAW**

**For any real number a, exactly one of the following statements is true:**

• *a***is negative**

• ** a** =

**0**

• *a***is positive**