Roots and Radicals
We just saw that roots express fractional exponents. But it is often easier to work with
roots in a different format. When a number or term is raised to a fractional power, the
expression can be converted into one involving a root in th
Fractions
Being able to efficiently and correctly manipulate fractions is essential to doing well on the Math IC test. A fraction
describes a part of a whole. It is composed of two expressions, a numerator and a denominator. The numerator of a
fraction is
Percents
A percent is another way to describe a part of a whole (which means that percents are also
another way to talk about fractions or decimals). Percent literally means of 100 in Latin,
so when you attend school 25 percent of the time, that means you
Decimals
Decimals are just another way to express fractions. After all, to produce a decimal, you
simply divide the numerator of a fraction by the denominator. For example, 1/2 = 1
2=.
5.
Comparing Decimals
Like fractions, comparing decimals can be a bit
A multiple is an integer that can be evenly divided by another
integer. If c /d is an integer, then c is a multiple of d. The numbers
45, 27, and 18, for example, are all multiples of 9. Alternatively, you
could define a multiple as an integer with at lea
A factor is an integer that divides another integer evenly. If a /b is an integer, then b is a factor of a. The numbers 3,
4, and 6, for example, are factors of 12.
Sometimes it is necessary or helpful to factor an integer completely. This means you need
Before you take the Math IC, you should know the common types of numbers. Of these types, the most important
ones to understand are probably integers and real numbers. They can be spotted in nearly every question on the test
and will be explicitly mention
Exponents
An exponent defines the number of times a number is to be multiplied by itself. For example, in ab, where a is the
base, and b the exponent, a is multiplied by itself b times. In a numerical example, 25 = 2 2 2 2 2. An
exponent can also be refer
The order of operations is one of the most instrumental and basic principles of arithmetic. It refers to the order in
which you must perform the various operations in a given mathematical expression. If operations in an expression
could be performed in an
THE SAT II SUBJECT TESTS ARE CREATED and administered by the College Board and
the Educational Testing Service (ETS), the two organizations responsible for producing the
dreaded SAT I (which most people call the SAT). The SAT II Subject Tests are meant to