1. Real Numbers Review #1

2. 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.

3. 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.

4. 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

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

6. 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

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

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

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

10. 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.

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

13. 1.Inverse Property for division 2.Reduce fractions with common factors 3.Multiply the numerators together 4.Multiply the denominators together 5.Simplify the expression Multiplying and Dividing Rational Numbers

15. Convert Natural Numbers, Whole Numbers, and Integers into fractional form

16. Convert each mixed number into fractional form Multiply the whole number by the denominator and add the numerator all over the denominator

17. Convert terminating decimals into fractional form The number of places you move the decimal point is equal to the number of zeros in the denominator.

18. Convert repeating decimals into fractional form Repeating decimals are over 9 Nonrepeating decimals are over 0 Work from right to left in the denominator Subtract the nonrepeating digits from the entire decimal for the numerator