1. Numeration Vocabulary Ms. Hornbuckle

2. Base Systems Our System is the decimal or base 10 system for numbers. Time is measured in Base 60 (60 minutes in one hour) and is from the ancient Babaloynians. There are many types of base systems Mayan:

3. Common Denominator A number into which the denominators divide equally The common denominator of 1/3 and 1/4 is 12 because 3 and 4 divide equally into 12

4. Commutative Property of Multiplication The property states that it doesn’t matter which order you multiply the numbers, the answer is still the same 4*9=9*4

5. Convert Means to change the form, but not the value ½ =.5 = 50% 1 inch = 2.54cm Hello = Hola

6. Decimal A part of a number (based on the base 10 system) Ex. 3.4

7. Distributive Property Multiply each term in a set of parentheses by the term outside 3(x+4) = 3x +12 Animation Link

8. Exponential Form Writing a number with a whole number and an exponent Exponential Form: 4 3 Not Exponential Form: 4*4*4

9. Exponents A smaller number placed to the upper-right of a number that shows the number of times the base number is multiplied times itself. 3 4 = 3*3*3*3

10. Factor A whole number that divides EXACTLY into a number Example: 1, 2, 3, 4, 6, and 12 are factors of 12.

11. Greatest Common Factor The largest numbers that will divide into two are more numbers evenly Example: The GCF of 9 and 12 is 3

12. Identity of One Also known as the identity property of multiplication When a number is multiplied by one the result is the number itself 12 * 1 = 12

13. Identity of Zero Also known as the identity property of addition. When zero is added to any number the result is the number itself. 12 + 0=12

14. Identity Property of Multiplication See Identity Property of One 12 * 1 = 12

15. Improper Fraction A fraction that is larger than one The numerator is larger than the denominator 12/4

16. Inequality Not equal in Size, Amount or Value Represented by >, 5 3

17. Integer Any positive or negative number including zero. Examples -45, 23, 0, 15, -23

18. Inverse Operations Two operations that have the opposite effect. Addition and Subtraction Multiplication and Division

19. Least Common Multiple The smallest number that is the multiple of 2 or more numbers. The LCM of 3, 4, and 6 is 12 3, 6, 9, 12, 15 4, 8, 12, 16 6, 12, 18

20. Mixed Number Number written as a whole number with a fraction. It is larger than one. 3 ½ 4 ¼

21. Model To show something visually. Model in math usually includes drawing/pictures.

22. Multiples To find a multiple of a number at the number to itself. This can be repeated to find many multiples 3, 6, 9, 12, 15 2, 4, 6, 8, 10 11, 22, 33, 44, 55

23. Order To place from least to greatest or greatest to least.

24. Percent A number out of 100 60% is 60 out of 100 27% is 27 out of 100

25. Place Value The value of a digit based on where it is placed in a number

26. Powers of Ten This means 10 raised to any positive (usually) integer. 10 3 10 4 10 105

27. Prime Factorization Write a number as the product of it’s prime factors 2*2*2*7 or 2 3 *7

28. Proportion A proportion has a constant (equal) ratio. Usually seen as two ratios with an equal sign in the middle ½ = 2/4

29. Ratio Comparative value of two or more amounts as compared to the total. Example-> The ratio of boys to girls in a group of 10 is Boys:Girls »6:4

30. Rational Numbers Is a repeating decimal, terminating decimal or an integer. Examples –3.4 –3.75 –5 –4.223223223

31. Real Number System The real number system includes fractions, whole numbers, and rational numbers. All real numbers can be placed on a number line.

32. Scientific Notation A way of writing very large or very small numbers using a number between 1 and 10 and multiplied by a power of 10 Example  1.56 * 10 2 = 156