Lesson 1 Introductory Algebra The Four Operations.

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Presentation transcript:

Lesson 1 Introductory Algebra The Four Operations

Warm-Up 6 × 7 56 ÷ 8 6.8 + 9.3 114 – 96

The Four Operations Target: Find values of expressions involving addition, subtraction, multiplication and division.

Vocabulary Numerical Expression: Combinations of numbers and operations. Order of Operations: Rules to follow when evaluating an expression with more than one operation.

Order of Operations Multiply and divide from left to right. Add and subtract from left to right.

Example 1 Find the value of 5 × 8 – 12 ÷ 3. Multiply and divide first. 5 × 8 – 12 ÷ 3 = 40 – 4 Subtract. 40 – 4 = 36

Example 2 Find the value of 20 + 16 ÷ 4 – 2 × 9. Multiply and divide first. 20 + 16 ÷ 4 – 2 × 9 = 20 + 4 – 18 Add and subtract left to right. 20 + 4 – 18 = 24 – 18 = 6

Example 3 Saul’s mom and dad took him to a basketball game for his birthday. He was allowed to bring four friends with him. His parents bought $24 tickets for each of the five boys so they could sit close to the court. The parents’ tickets cost $10 each. Find the total cost of the game tickets. Write the problem. $24 × 5 + $10 × 2 Multiply first. $24 × 5 + $10 × 2 = $120 + $20 Add. $120 + $20 = $140 It will cost $140 for the group to go to the game.

Exit Problems 6 + 9 ÷ 3 – 1 4 × 5 – 2 × 3 8.8 ÷ 2 + 2.4

Communication Prompt Why do you think mathematicians developed an order of operations for us to follow?