Parentheses/Grouping
Evaluate:
(8 + 4) × 3
(8 + 4) × 3 = 12 × 3 = 36
2^3 (two to the third power)
2^3 = 8
6 × 7 ÷ 3
6 × 7 ÷ 3 = 42 ÷ 3 = 14
45 + 12 − 5
45 + 12 − 5 = 57 − 5 = 52
3 + 4 × 2
3 + 4 × 2 = 3 + 8 = 11
6 × (5 + 2) − 4
6 × (5 + 2) − 4 = 6 × 7 − 4 = 42 − 4 = 38
3^2 + 5
3^2 + 5 = 9 + 5 = 14
18 ÷ 3 × 2
18 ÷ 3 × 2 = 6 × 2 = 12
100 − (30 + 15) + 5
100 − (30 + 15) + 5 = 100 − 45 + 5 = 60
(5 + 3) × 2^2
(5 + 3) × 2^2 = 8 × 4 = 32
(12 − 3) × (2 + 1)
(12 − 3) × (2 + 1) = 9 × 3 = 27
2 × 3^2 + 4
2 × 3^2 + 4 = 2 × 9 + 4 = 18 + 4 = 22
8 × (6 ÷ 2) − 5
8 × (6 ÷ 2) − 5 = 8 × 3 − 5 = 24 − 5 = 19
25 + 30 ÷ 5 − 3
25 + 30 ÷ 5 − 3 = 25 + 6 − 3 = 28
6 + 2 × (9 − 4)
6 + 2 × (9 − 4) = 6 + 2 × 5 = 6 + 10 = 16
9 × (4 + 6 ÷ 2)
9 × (4 + 6 ÷ 2) = 9 × (4 + 3) = 9 × 7 = 63
(2 + 1)^3 − 5
(2 + 1)^3 − 5 = 3^3 − 5 = 27 − 5 = 22
144 ÷ 12 + 6 × 2
144 ÷ 12 + 6 × 2 = 12 + 12 = 24
Evaluate and show steps: 200 − 3 × 50 + 10
200 − 3 × 50 + 10 = 200 − 150 + 10 = 60
2^3 + 18 ÷ (3 × 2)
2^3 + 18 ÷ (3 × 2) = 8 + 18 ÷ 6 = 8 + 3 = 11
Write an expression that equals 48 using parentheses, multiplication, and addition (use each of these numbers once: 2, 3, 4).
Example answer: (4 × 3) × 2 = 24 × 2 = 48 (many correct answers possible)
2^4 ÷ 2 + 3
2^4 ÷ 2 + 3 = 16 ÷ 2 + 3 = 8 + 3 = 11
Evaluate and show steps: 5 × 4^2 ÷ (2 + 3)
5 × 4^2 ÷ (2 + 3) = 5 × 16 ÷ 5 = 80 ÷ 5 = 16
Create a three-step expression (using + and − and one multiplication) that equals 67, then evaluate it.
Example: 3 × 20 + 7 − 0 = 60 + 7 = 67 (students may create different valid expressions)
(4 + 2^2) × (15 ÷ 3) – 7
(4 + 2^2) × (15 ÷ 3) − 7 = (4 + 4) × 5 − 7 = 8 × 5 − 7 = 40 − 7 = 33