2. Numerical Expressions Chapter 1, Lesson 1B Pages 29-32

3. Numerical Expressions (1-1B) Learning Objective #2: I can evaluate expressions using the order of operations. Found in Grade 5 CCSS Vocabulary: Numerical expression Order of operations

4. Numerical Expressions (1-1B) The expression 6 + 4 x 3 is a numerical expression. To evaluate expressions, use the order of operations. These rules ensure that numerical expression have only one value.

5. Numerical Expressions Remembering the order of operations is as easy as remembering the saying: Please Excuse My Dear Aunt Sally

6. Please Excuse… The “P” stands for items in parenthesis Do all items in the parenthesis first The “E” stands for Exponents Do anything that has a exponent (power) second 8282

7. Represents Multiply and Divide Do all the multiplication and division third Do which ever one of these comes first in the problem … My Dear… **Work these two operations from left to right

8. Represents Add and Subtract Do all addition and subtraction last Do which ever one of these comes first **Work left to right … Aunt Sally.

9. Order of Operations 3 ways to show multiplication?

10. Examples… WORK DOWN! 1) (10 + 8) ÷ 3 – 1 2) 15 - 10 ÷ 5 + 2 3) 45 ÷ (9 + 6 ) x 2 4) 9 5 + (10 ÷ 5) 3 2

11. More Examples Write an expression first.

12. Homework…