ACCUPLACER Arithmetic

ACCUPLACER Arithmetic focuses on essential arithmetic skills necessary for success in higher education and various standardized tests.

Basic Concepts

Fractions and Decimals

Fractions: Parts of a Whole

Fractions show how much of something you have when it's split into equal parts. The top number (numerator) tells how many parts you have; the bottom number (denominator) tells how many parts make a whole.

  • Example: \( \frac{3}{4} \) means three out of four equal parts.

Decimals: Another Way to Show Parts

Decimals are another way to show numbers that aren’t whole. The first digit after the decimal point is tenths, then hundredths, and so on.

  • Example: 0.75 is the same as \( \frac{75}{100} \) or \( \frac{3}{4} \).

Switching Between Fractions and Decimals

To change a fraction to a decimal, divide the numerator by the denominator. To go from decimal to fraction, write the decimal as a fraction (like 0.5 = \( \frac{1}{2} \)).

Real-World Uses

You use fractions and decimals every day—cutting a pizza, reading the time, or working with money.

Examples

  • Changing \( \frac{1}{5} \) to a decimal: \( 1 \div 5 = 0.2 \)

  • What is 0.25 as a fraction? \( 0.25 = \frac{1}{4} \ )

In a Nutshell

Understanding fractions and decimals helps you work with parts of whole numbers.

Key Terms

Fraction
A number that shows part of a whole using a numerator and denominator.
Decimal
A way of writing numbers using a decimal point to show parts less than one.