Name: _______________________________________________ Class: _________________________ Date: ___________________ 1.4 GEMDAS
Directions: Some students are trying to solve the numerical expressions listed below. Determine
which student is correct, and explain how the other student got it wrong. SHOW ALL WORK!!
Lisa
1. (2 ∙ 4)! - 3 ∙ (5 + 3)
8! - 3 ∙ (5 + 3)
8! - 3 ∙ 8
Steve
(2 ∙ 4)! - 3 ∙ (5 + 3)
2 ∙ 16 - 3 ∙ 8
32 - 3 ∙ 8
64 - 3 ∙ 8
29 ∙ 8
64 - 24
232
40
Who simplified the numerical expression correctly? ______________________
Explain why the other student was incorrect:
Casey
Beth
2. 61 - 5 ∙ 2! + 5
61 - 5 ∙ 2! + 5
61 - 5 ∙ 8 + 5
61 - 5 ∙ 8 + 5
56 ∙ 8 + 5
61 - 40 + 5
448 + 5
21 + 5
453
26
Who simplified the numerical expression correctly? ______________________
Explain why the other student was incorrect:
Christian
Ryan
3. 6 + 18 ÷ 3! - 1
6 + 18 ÷ 3! - 1
24 ÷ 3! - 1
6 + 18 ÷ 9 - 1
24 ÷ 9 - 1
6 + 2 - 1
24 ÷ 8
8 - 1
3
7
Who simplified the numerical expression correctly? ______________________
Explain why the other student was incorrect:
Alison
4.
Charles
62 - 4 ∙ (15 ÷ 3)
62 - 4 ∙ (15 ÷ 3)
62 - 4 ∙ 5
58 ∙ 15 ÷ 3
62 - 20
870 ÷ 3
42
290
Who simplified the numerical expression correctly? ______________________
Explain why the other student was incorrect:
Sean
5. 12 + (1 + 7! ) ÷ 5
16 + 2 ∙ 3
12 + (1 + 49) ÷ 5
16 + 2 ∙ 3
12 + 50 ÷ 5
16 + 2 ∙ 3
12 + 10
16 + 6
Kathryn
. 12 + (1 + 7! ) ÷ 5
16 + 2 ∙ 3
12 + (1 + 49) ÷ 5
16 + 2 ∙ 3
12 + 50 ÷ 5
16 + 2 ∙ 3
12 + 10
16 + 2 ∙ 3
22
22
22/16 + 2 ∙ 3
1
1𝟖 + 2 ∙ 3
𝟑
!
3!
∙ 3
81/8
𝟏
10𝟖
Who simplified the numerical expression correctly? ______________________
Explain why the other student was incorrect: