Algebra II September 2, 2011.

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Presentation transcript:

Algebra II September 2, 2011

Drill (solve for each variable) 1) 2) 3)

Types of Numbers (DRILL ON BOARD) Real Numbers Rational Numbers Irrational Numbers Integers Whole Numbers Natural Numbers

Real Numbers (R) All numbers used in everyday life, the set of all rational and irrational numbers. Ex: ½ , -3, 4.667, -2.12324

Rational Numbers (Q) Any number , where m and n are integers and n is a non-zero. The decimal form is either a terminating or repeating decimal. Ex: ½ , 2.555, 3.25252525

Irrational Numbers (I) Any number which can not be written as a fraction. The decimal form neither repeats or terminates. Ex: 2.34628789476373673245…

Integers (Z) All non-decimal or fractional numbers including all positive numbers, negative numbers and zero. Ex: {...-2, -1, 0, 1, 2, 3, …}

All Integers except for all the negative numbers. Whole Numbers (W) All Integers except for all the negative numbers. Ex: {0, 1, 2, 3, 4, 5, ….}

All Integers except negative numbers and zero. Ex: {1, 2, 3, 4, 5, ….} Natural Numbers (N) All Integers except negative numbers and zero. Ex: {1, 2, 3, 4, 5, ….}

Number Chart Real Numbers (R) (Q) (Z) (w) (N) (I)

Examples -4 2.5454545454 ½ 2.549847354748456235….. 8

Algebra Word Problems Sum: to add the numbers together. Difference: the subtract the two numbers Product: to multiply the numbers Quotient: to divide the numbers

Addition (Key Words) More Than In addition to As well as

Subtraction (Key Words) Less Than Take away Minus

Multiplication (Key Words) Times a number Division (Key Words) Divided by Split Equally

7 more then a number equals 15. Examples Write an equation for each word problem. 7 more then a number equals 15. 8 more then the product of 5 and a number is equal to 38.

The quotient of a number and 7 is equal to 6. Examples The quotient of a number and 7 is equal to 6. The product of 4 and a number is 12 less then 40.