# Real Numbers Review #1. The numbers 4, 5, and 6 are called elements. S = {4, 5, 6} When we want to treat a collection of similar but distinct objects.

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Real Numbers Review #1

The numbers 4, 5, and 6 are called elements. S = {4, 5, 6} When we want to treat a collection of similar but distinct objects as a whole, we use the idea of a set.

We do not list an element more than once, because the elements of a set are distinct. If a set has no elements, it is called the empty set or null set. The order in which you list elements in a set is not relevant.

Natural Numbers – N 1, 2, 3, 4, 5, 6, 7, … Whole Numbers – W 0, 1, 2, 3, 4, 5, 6, … Integers – I …, – 2, – 1, 0, 1, 2, … Classification of Real Numbers

Rational Numbers Any number that can be written in the form of a fraction. Irrational Numbers Any number that neither terminates nor repeats.

Truncation Drop all the digits that follow the specified final digit in the decimal. Rounding Identify the specified final digit in the decimal. If the next digit is 5 or more, add 1 to the final digit. Otherwise leave the number as it appears. Approximations

Truncating: 24.748 Rounding: 24.749 Approximate 24.7486 to 3 decimal places by both truncating and rounding.

Addition – Sum Subtraction – Difference Multiplication – Product Division – Quotient Mathematical Operations

The difference 4 less than x is 12. The quotient of 16 and x is 8. The product of x and 6 is 72.

Order of Operations 1.Perform all operations within grouping symbols from innermost outward. 2.Perform all operations with exponents from left to right. 3.Perform all multiplication and division from left to right. 4.Perform all addition and subtraction from left to right.

1.Find the LCD 2.Multiply the numerator by a factor of the LCD 3.Add the numerators together 4.Keep the denominator the same 5.Simplify the expression Adding and Subtracting Rational Numbers

1.Multiplicative Inverse for division 2.Multiply the numerators together 3.Multiply the denominators together 4.Simplify the expression Multiplying and Dividing Rational Numbers

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