# 1: Operations with Real Numbers

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• 1.1: Order of Operations
To evaluate an expression means to simplify it and find its value.
• 1.2: Negative Numbers
Negative numbers are a fact of life, from winter temperatures to our bank accounts. Let’s practice evaluating expressions involving negative numbers.
• 1.3: Decimals
Decimal notation is based on powers of 10 : 0.1 is one tenth, 0.01 is one hundredth, 0.001 is one thousandth, and so on.
• 1.4: Fractions
• 1.5: Multiplication Properties of Exponents
You have seen that when you combine like terms by adding and subtracting, you need to have the same base with the same exponent. But when you multiply and divide, the exponents may be different, and sometimes the bases may be different, too.
• 1.6: Division Properties of Exponents
Now we will look at the exponent properties for division. A quick memory refresher may help before we get started. You have learned to simplify fractions by dividing out common factors from the numerator and denominator using the Equivalent Fractions Property. This property will also help you work with algebraic fractions—which are also quotients.
• 1.7: Scientific and Engineering Notation

1: Operations with Real Numbers is shared under a CC BY-SA license and was authored, remixed, and/or curated by LibreTexts.