6th Grade Order of Operations Worksheets - Free Printable

1) 14 - 2 x 5 + 3 = 14 - 10 + 3 = 7
7 x 3 - 6 x 2 = 21 - 12 = 9
7 < 9, so 14 - 2 x 5 + 3 < 7 x 3 - 6 x 2

2) 7 x 4 - 2 x 5 = 28 - 10 = 18
3 x (14 - 2 x 4) = 3 x (14 - 8) = 3 x 6 = 18
18 = 18, so 7 x 4 - 2 x 5 = 3 x (14 - 2 x 4)

3) 8 + 3 x 4 - 5 = 8 + 12 - 5 = 15
40 ÷ (2 + 3) + 6 = 40 ÷ 5 + 6 = 8 + 6 = 14
15 > 14, so 8 + 3 x 4 - 5 > 40 ÷ (2 + 3) + 6

4) 24 - 7 x (3 + 1) = 24 - 7 x 4 = 24 - 28 = -4
6 x 8 ÷ 4 - 20 = 48 ÷ 4 - 20 = 12 - 20 = -8
-4 > -8, so 24 - 7 x (3 + 1) > 6 x 8 ÷ 4 - 20

5) 20 ÷ 2 + 3 x 4 = 10 + 12 = 22
12 + (7 + 8 ÷ 2) = 12 + (7 + 4) = 12 + 11 = 23
22 < 23, so 20 ÷ 2 + 3 x 4 < 12 + (7 + 8 ÷ 2)

6) 15 - 4 x (10 - 6) = 15 - 4 x 4 = 15 - 16 = -1
24 ÷ (2 x 3) - 5 = 24 ÷ 6 - 5 = 4 - 5 = -1
-1 = -1, so 15 - 4 x (10 - 6) = 24 ÷ (2 x 3) - 5

7) 3 x (16 - 5 x 2) = 3 x (16 - 10) = 3 x 6 = 18
4 x (21 - 2 x 8) = 4 x (21 - 16) = 4 x 5 = 20
18 < 20, so 3 x (16 - 5 x 2) < 4 x (21 - 2 x 8)

8) (11 + 7) ÷ 3 + 6 = 18 ÷ 3 + 6 = 6 + 6 = 12
3² + 14 ÷ 7 = 9 + 2 = 11
12 > 11, so (11 + 7) ÷ 3 + 6 > 3² + 14 ÷ 7

9) (24 - 3²) x 2 = (24 - 9) x 2 = 15 x 2 = 30
(4² - 3) x (14 - 12) = (16 - 3) x 2 = 13 x 2 = 26
30 > 26, so (24 - 3²) x 2 > (4² - 3) x (14 - 12)

10) 30 ÷ 5 x 3 + 6 = 6 x 3 + 6 = 18 + 6 = 24
6 x 2³ ÷ (7 - 4) = 6 x 8 ÷ 3 = 48 ÷ 3 = 16
24 > 16, so 30 ÷ 5 x 3 + 6 > 6 x 2³ ÷ (7 - 4)

11) 2³ x (9 - 6) = 8 x 3 = 24
8 x (11 - 2 x 4) = 8 x (11 - 8) = 8 x 3 = 24
24 = 24, so 2³ x (9 - 6) = 8 x (11 - 2 x 4)

12) 4 x (6 - 3) x 5 = 4 x 3 x 5 = 60
13 x (25 - 3 x 7) = 13 x (25 - 21) = 13 x 4 = 52
60 > 52, so 4 x (6 - 3) x 5 > 13 x (25 - 3 x 7)

13) 8 - (3 + 4 x 2) = 8 - (3 + 8) = 8 - 11 = -3
40 ÷ (6 + 7 x 2) = 40 ÷ (6 + 14) = 40 ÷ 20 = 2
-3 < 2, so 8 - (3 + 4 x 2) < 40 ÷ (6 + 7 x 2)

14) 5² - 2 x (12 - 9) = 25 - 2 x 3 = 25 - 6 = 19
9 + (14 ÷ (2 + 5)) = 9 + (14 ÷ 7) = 9 + 2 = 11
19 > 11, so 5² - 2 x (12 - 9) > 9 + (14 ÷ (2 + 5))

15) (18 + 12) ÷ 3 x 5 = 30 ÷ 3 x 5 = 10 x 5 = 50
7² + (15 - 2 x 7) = 49 + (15 - 14) = 49 + 1 = 50
50 = 50, so (18 + 12) ÷ 3 x 5 = 7² + (15 - 2 x 7)

16) ½ x (18 - 5 x 2) = ½ x (18 - 10) = ½ x 8 = 4
18 - (11 - 12 ÷ 3) = 18 - (11 - 4) = 18 - 7 = 11
4 < 11, so ½ x (18 - 5 x 2) < 18 - (11 - 12 ÷ 3)

17) 7² - 36 ÷ 2 = 49 - 18 = 31
2 x 3 x (14 - 10) = 6 x 4 = 24
31 > 24, so 7² - 36 ÷ 2 > 2 x 3 x (14 - 10)

18) 8 + 20 ÷ 4 + 6 = 8 + 5 + 6 = 19
60 ÷ (12 x 2 - 21) = 60 ÷ (24 - 21) = 60 ÷ 3 = 20
19 < 20, so 8 + 20 ÷ 4 + 6 < 60 ÷ (12 x 2 - 21)

19) 10 - (7 + 3 x 2) = 10 - (7 + 6) = 10 - 13 = -3
5 x (12 - 9) - 18 = 5 x 3 - 18 = 15 - 18 = -3
-3 = -3, so 10 - (7 + 3 x 2) = 5 x (12 - 9) - 18

20) (60 - 12) ÷ (9 - 3) = 48 ÷ 6 = 8
6² ÷ (17 - 2³) = 36 ÷ (17 - 8) = 36 ÷ 9 = 4
8 > 4, so (60 - 12) ÷ (9 - 3) > 6² ÷ (17 - 2³)