Ma’am Angelica MATH O’CLOCK Deserve Clap Solve Me! Solve Me! What do the symbols indicate or show? Who can arrange the symbols as to which is to be solved first? () - R ER PE F X TIO + When solving a numerical expression that has more than one operation, we follow the PMDAS/GMDAS rule. That is, 1. Perform the operation/s inside the parentheses or grouping first. ex. (3 + 2) X 4 ÷ 2 = 2. Perform multiplication and division operations in order from left to right. ex. 5 X 4 ÷ 2 or 4 ÷ 2 x 3 3. Perform addition and subtraction operations in order from left to right. ex. 5 + 3 -1 or 5 – 3 + 1 Look carefully in the given number. 21 + 2 – (3 + 1) ÷ 2 21 + 2 – (3 + 1) ÷ 2 1. What operation to perform first? 21 + 2 – (3 + 1)÷ 2 21 + 2 – 4 ÷ 2 1. What operation to perform first? 21 + 2 – (3 + 1)÷ 2 21 + 2 – 4 ÷ 2 21 + 2 – 2 2. What is the next operation to perform? 21 + 2 – (3 + 1)÷ 2 21 + 2 – 4 ÷ 2 21 + 2 – 2 23 – 2 2. What is the next operation to perform? 21 + 2 – (3 + 1)÷ 2 21 + 2 – 4 ÷ 2 21 + 2 – 2 23 – 2 21 3. What is the answer? PMDAS 4+5 x (6-2) 4+5 x 4 4+20 24 PMDAS 4+ 10 x (2x4) -16 4+10 x 8 -16 4+ 80 -16 84-16 68 PMDAS 21 + 102 10 21+10010 21 + 10 31 PMDAS 64 (9 x 3-19) 64(27 –19) 64 8 8 PMDAS 3 (9+1) + 6x6 3(10)+6x6 3(10)+36 30+36 66 WHAT’S NEXT! Ang Galing Galing Ninyo Clap STORY TIME! Lulu comes from school with a heavy heart because of homework. Her elder brother gives her a helping hand. HOMEWORK: Evaluate the expressions: a. 12 – 3 + 18 ÷ (6 × 3) b. 7 × 9 – 3 + 8 c. 18 – (12 ÷ 6) + 7 d. 9 × 9 ÷ 3 – 9 + 6 e. 42 ÷ 4 × (5 – 7) + 8 Do you want to help Lulu and her brother? Think-PairShare! Evaluate the expressions: a. 12 – 3 + 18 ÷ (6 × 3) = b. 7 × 9 – 3 + 8 = c. 18 – (12 ÷ 6) + 7 = d. 9 × 9 ÷ 3 – 9 + 6 = e. 42 ÷ 4 × (15 – 7) + 8 = Independent Activity 1 Directions: Fill in the blanks to complete each solution. The first item is done for you to serve as a guide. 1. (12 – 3) + (18 ÷ 6) x 3 (12 – 3) + (18 ÷ 6) x 3 =9+3x3 =9+9 = 18 Let’s Answer! 2. (7 x 9) – 3 + 8 = __ – 3 + 8 = __ + 8 = ___ Let’s Answer! 2. (7 x 9) – 3 + 8 = 63 – 3 + 8 = 60 + 8 = 68 Let’s Answer! 3. 18 – (12 ÷ 6) +7 = 18 – __ + 7 = __ + 7 = ___ Let’s Answer! 3. 18 – (12 ÷ 6) +7 = 18 – 2 + 7 = 16 + 7 = 23 Let’s Answer! 4. 7 – 5 + 8 x (16 ÷ 4) = 7 – 5 + 8 x __ = 7 – 5 + __ = 2 + __ = ___ Let’s Answer! 4. 7 – 5 + 8 x (16 ÷ 4) =7–5+8x4 = 7 – 5 + 32 = 2 + 37 = 39 Let’s Answer! 5. (10 x 6) ÷ (9 - 3 + 6) = 60 ÷ (9 - 3 + 6) = 60 ÷ (__ + 6) = 60 ÷ __ = __ Let’s Answer! 5. (10 x 6) ÷ (9 - 3 + 6) = 60 ÷ (9 - 3 + 6) = 60 ÷ ( 6 + 6) = 60 ÷ 12 = 72 Independent Activity 2 Directions: Put ☺if the numerical expression is simplified correctly and put L if the numerical expression is solved incorrectly. Let’s Answer on the Board! Let’s Team Up! Let’s Team Up! P/GMDAS RULE (Watermelon Tune) Parentheses or Grouping Multiplication, multiplication Division, addition, division, addition Subtraction, subtraction EVALUATION Directions: Solve the expressions given applying PMDAS and GMDAS rules. Encircle the letter of the correct answer