QUIZ on PMDAS, page 5 1. Current Order of Operations 5. (6 + 3) x 4 - 1

 Pg c80d, #1: PMDAS Order of Operations Top: Parentheses & marks of inclusion (innermost first)Next: Multiply or Divide (leftmost first) Last: Add or Subtract (leftmost first)
 PREMDAS Answers: Pg 6. 1. Simplify:               2. Simplify:   (-2 + 5)² = 3² = 9   3 - 4 x 5 + 6 ÷ (-3)   3 - 20 + -2   3 - 22 = -19 3.Simplify:   { 2 + (-4 + 6)·(5 + 3(-2))}(-1)   { 2 + (-4 + 6)·(5 + 3(-2))}(-1)   { 2 + (2)·(5 + (-6))}(-1)   { 2 + (2)·(-1)}(-1)   { 2 + (-2)}(-1)   { 0}(-1) = 0 4. State the result if you: Loose \$10, win \$4, loose \$2 twice, win \$3, win \$3, win \$4, loose \$6 =   - 10 + 4 -2(2) + 3 + 3 + 4 - 6 =       - 6     - 4   + 6  + 4 - 6 =         - 10 +     10 - 6 = -6, Loose \$ 6. 5.Simplify each then comment on the reason the answers are different.    a. -2² = -4 since exponents are done before multiplication    b. (-2)² = 4 since (-2)(-2)= 4 6. Simplify each then comment on the reason the answers are different.    a. 4 -5² = 4 - 25= -21, exponents before subtraction    b. 4(-5)² = 4(25)= 100, exponents before multiplication 7.   Simplify: 8.

 PREMDAS Questions, pg. 9. 1.   State the Order of Operations, as presented thus far. Questions 2 - 9: Simplify. 2.    -20 + 6 - 4 + 3 x (-2) = -20 + 6 - 4 - 6 = -14 - 10 = -24 3.    3 x (4 - 7)² x (-6 + 4) = 3 x (- 3)² x (- 2) = 3 x (9) x (-2)= 27 x ( -2) = -54     4.    -6²= -(6)² = -36     5.     =2 x { (-2)² + 2} - 1 =2 x { 4 + 2} - 1 =2 x 6 - 1= 11     6.     =4 + 2 + 64 - 1 = 69     7.    5²(5¹)(5³) ÷ (5³) =5 to the (2 + 1 + 3 - 3) power = 5 to the 3 power = 125     8.    -(-(-(-(1))))= +(+1) = 1 9.     6 - 2 + 1 - 11 = -6     10.    Any number to the zero power, other than zero, is ONE.     11.    Any number to the first power is THAT NUMBER.     12.    The sum -2 + 3 - 5 is the same as - 5 + -2 + 3.

 Finally ... My Dear Aunt Sally, page 11 4.

 Finally ... My Dear Aunt Sally, page 11 7.

 Questions 1 - 4: Write an arithmetic expression which achieve the following result. Do not simplify except to verify your work. 1. to the product of 4 and 12 add the square of 3 (4)(3)+3² 2. Double the sum of 2 and 6. Increase the result by 4. Triple this result. 2 · (2+6), then 2 · (2+6)+4, then 3 · (2 · (2+6)+4) 3. the opposite of the square of 7 the square of 7 is 7² the opposite of this is -7² 4. the square of the opposite of 7 the square of is ( )² the square of the opposite of 7 is (-7)² Questions 5 - 11: Simplify. 5.    6 - 4 x (-2)= 6 - (-8)= 6+8=14 6. 2 · (3 + (4 - 7) ÷ 3)=2 · (3 + (- 3) ÷ 3)= 2 · (3 + - 1)=2 · (2)=4 7. (6 - 2²)² = (6 - 4)² = 2² =4     8.         9.         10.         11.     Questions 12 - 14: Complete.     12.    Any number to the zero power, other than zero, is ONE.     13.    Any number to the first power is that number.     14.    The typed-on-one-line code for the absolute of negative five is abs(-5).