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1.7 Exponents and Order of Operations Exponential Notation: Shorthand for writing repeated multiplication of the same number.

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Presentation on theme: "1.7 Exponents and Order of Operations Exponential Notation: Shorthand for writing repeated multiplication of the same number."— Presentation transcript:

1 1.7 Exponents and Order of Operations Exponential Notation: Shorthand for writing repeated multiplication of the same number.

2 Order of Operations: The order in which mathematical operations must be performed. PEMDAS PParenthesis EExponents MMultiplication DDivision AAddition SSubtraction 1.7 Exponents and Order of Operations

3 Order of Operations: PEMDAS 1.7 Exponents and Order of Operations

4 Order of Operations:PEMDAS 1.7 Exponents and Order of Operations

5 Order of Operations:PEMDAS 1.7 Exponents and Order of Operations

6 1.8 Variables, Algebraic Expressions and Equations Definitions: Variable - A letter that represents a number or a set of numbers. Algebraic Expression - A combination of operations on variables and numbers. Equation- Two algebraic expressions that are equal. Solution- The value or values for the variable that make an equation true. Evaluate- Substituting a value for the variable of an expression or equation and calculating the result.

7 Evaluate the following: 1.8 Variables, Algebraic Expressions and Equations

8 Evaluate the following: OR 1.8 Variables, Algebraic Expressions and Equations

9 Evaluate the following: 1.8 Variables, Algebraic Expressions and Equations

10 Determine whether 8 is a solution of the equation True statement, 8 is a solution. 1.8 Variables, Algebraic Expressions and Equations

11 Determine which numbers in the set { 10, 6, 8} are solutions of the equation True statement, 6 is a solution. False statement, 10 is not a solution. False statement, 8 is not a solution. 1.8 Variables, Algebraic Expressions and Equations

12 Write an Algebraic Expression. Use x to represent a number. Twice a number 8 increased by a number 10 minus a number 10 subtracted from a number The quotient of a number and 6 or 1.8 Variables, Algebraic Expressions and Equations

13 2.1 Introduction to Integers Definitions: Positive numbers – All numbers greater than zero. The positive sign states that the number is to the right of zero on a number line. Negative numbers – All numbers less than zero. The negative sign states that the number is to the left of zero on a number line. Signed numbers – Positive numbers, negative numbers and zero.

14 2.1 Introduction to Integers Definitions: Integers – All positive numbers, negative numbers and zero, but no fractions or decimals. Negative integersPositive integersZero NOTE: Zero is neither positive or negative!

15 2.1 Introduction to Integers Graphing Integers Graph -4, -1, 2, and -2 on the number line. Negative integersPositive integersZero

16 2.1 Introduction to Integers Representing Position with Integers Use an integer to represent each of the following positions. 4. The worlds deepest colony of bats is located in a New York zinc mine at a depth of 3805 feet. 2. The tamarack tree survives at the edge of the arctic tundra at 85 degrees below zero. 1. The wreck of the Titanic was located at 12,460 feet below sea level. 3. The bottom of Crater Lake is located at 4,229 feet above sea level.

17 2.1 Introduction to Integers Comparing Integers For any two numbers graphed on a number line, the number to the right is the greater number and the number to the left is the smaller number. Inequality Symbols is greater than is less than is greater than or equal to is less than or equal to

18 2.1 Introduction to Integers Comparing Integers Insert or between each pair of numbers to make a true statement.

19 2.1 Introduction to Integers Absolute Value of a Number The distance a number is from 0 on the number line. The distance a number is from 0 is always 0 or a positive distance – NEVER a negative value. The symbol or operator for the Absolute Value is: | |

20 2.1 Introduction to Integers Opposite Numbers Two numbers that are the same distance from zero but are on opposite sides of zero. Which of the following represent opposites? YES NO

21 2.1 Introduction to Integers Opposite Numbers Find the opposite values of the following numbers:

22 2.1 Introduction to Integers Mixed Practice


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