LARGE TO SMALL = MULTIPLY 1 YD = 3 FT

•A. 36 yd = ft•

LARGE TO SMALL = MULTIPLY 1 YD = 3 FT

• A. 36 yd = ft

• 1 yd = 36 yd • 3 ft = X

• 3 • 36 = 1X

• 108 = 1X• 1 1

• 108 ft = X

NUMERICAL EXPRESSION

•A numerical expression is a mathematical phrase that uses numbers or numbers with operations. •For example: 6 or 4 + 3

PURPLERPLE ELEPHANTSLEPHANTS MAY DESTORYESTORY A SCHOOLCH

12/1/2014 ORDER OF OPERATIONS[ ](P){

}E²

M x • 2(1 )

D ÷ ⁄A + S -

Parentheses: Simplify the expressions inside grouping symbols like parentheses

Exponents and Square Roots: Find the value of all powers and square rootsMultiply and Divide in order from Left to Right

Add and Subtract in order from Left to Right

6

DIVISION AND MULTIPLICATION HAVE EQUAL RANK. (GO LEFT TO

RIGHT).

ADDITION AND SUBTRACTION HAVE EQUAL RANK.

(GO LEFT TO RIGHT)

12/1/2014 Order of Operations

12/1/2014 ORDER OF OPERATIONSTo Do Order

Take a showerEat breakfastGet dressed

Buy tickets for the fairPut on shoesPut on socksRide to fair

Get money from piggy bank

12/1/2014 ORDER OF OPERATIONS

•2. Admission = $8.00 per person• Ride ticket = $3.00

•Ayana - buy five rides ( 8 + 5 • 3)• - admission• (8 + 5 • 3)• = $23•

12/1/2014 ORDER OF OPERATIONS

•2. Admission = $8.00 per person• Ride ticket = $3.00•Zachary – buy 8 rides AM and 5 rides PM • - (8 + 5 • 3)• = $39 • NOT including admission

12/1/2014 ORDER OF OPERATIONS

•3. (8 + 5 • 3)• It is correct for Ayana, but not for Zachary. It should be 8 • 3 + 5 • 3

•4. 100 – 60 + 5•Yes, she will have the $40 she left at home plus the $5 her dad gave her. •

12/1/2014 ORDER OF OPERATIONS

•5. 100 – 60 + 5•No, the 5 should be subtracted, not added.

•6. 6 ÷ 3 x 4• Yes, you divide 6 by 3 first and then multiply the answer, 2 by 4, giving 8.

12/1/2014 ORDER OF OPERATIONS•7. • a. 3² + 3² • = 18

• b. 2 • 3²• = 2 • 9• = 18• Yes, he could evaluate the exponent part first

12/1/2014 ORDER OF OPERATIONS

•8. Simplify each expression • a. 2 + 3² • = 144

• b. 19 + 32 ÷ 2³• = 32 ÷ 8• = 19 + 4• = 23

12/1/2014 ORDER OF OPERATIONS

•8. Simplify each expression • c. 9 • (2 + 3)² - 14 • = 211

• 9. (8 + 5)3; • both the 8 and the 5 should be • multiplied by 3

12/1/2014 ORDER OF OPERATIONS•10. Simplify each expression • a. 8 + 4 • 2 + 2(2 + 6) • 8 + 4 • 2 + 2(8)• 8 + 4 • 2 + 16• 8 + 8 + 16• 16 + 16

• b. = $32• •

•

EXIT:

A. 10 + (5 - 4) X 3

B. 5 X 3 – (2 + 2)

EXIT:

•A. 10 + (5 - 4) x 310 + 1 x 3 10 + 3 13

EXIT:

•B. • 5 x 3 – (2 + 2) • 15 – 4 • 11

•