6th Grade Order of Operations Worksheets - Free Printable

Let’s solve each problem step by step. We’ll calculate the value of the left expression, then the right expression, and compare them using >, <, or =.

We follow the order of operations: Parentheses first, then Exponents, then Multiplication and Division (left to right), then Addition and Subtraction (left to right).

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1)
Left: 14 – 2 × 5 + 3 → 14 – 10 + 3 = 4 + 3 = 7
Right: 7 × 3 – 6 × 2 → 21 – 12 = 9
7 < 9 → <

2)
Left: 7 × 4 – 2 × 5 → 28 – 10 = 18
Right: 3 × (14 – 2 × 4) → 3 × (14 – 8) = 3 × 6 = 18
18 = 18 → =

3)
Left: 8 + 3 × 4 – 5 → 8 + 12 – 5 = 20 – 5 = 15
Right: 40 ÷ (2 + 3) + 6 → 40 ÷ 5 + 6 = 8 + 6 = 14
15 > 14 → >

4)
Left: 24 – 7 × (3 + 1) → 24 – 7 × 4 = 24 – 28 = –4
Right: 6 × 8 ÷ 4 – 20 → 48 ÷ 4 – 20 = 12 – 20 = –8
–4 > –8 → >

5)
Left: 20 ÷ 2 + 3 × 4 → 10 + 12 = 22
Right: 12 + (7 + 8 ÷ 2) → 12 + (7 + 4) = 12 + 11 = 23
22 < 23 → <

6)
Left: 15 – 4 × (10 – 6) → 15 – 4 × 4 = 15 – 16 = –1
Right: 24 ÷ (2 × 3) – 5 → 24 ÷ 6 – 5 = 4 – 5 = –1
–1 = –1 → =

7)
Left: 3 × (16 – 5 × 2) → 3 × (16 – 10) = 3 × 6 = 18
Right: 4 × (21 – 2 × 8) → 4 × (21 – 16) = 4 × 5 = 20
18 < 20 → <

8)
Left: (11 + 7) ÷ 3 + 6 → 18 ÷ 3 + 6 = 6 + 6 = 12
Right: 3² + 14 ÷ 7 → 9 + 2 = 11
12 > 11 → >

9)
Left: (24 – 3²) × 2 → (24 – 9) × 2 = 15 × 2 = 30
Right: (4² – 3) × (14 – 12) → (16 – 3) × 2 = 13 × 2 = 26
30 > 26 → >

10)
Left: 30 ÷ 5 × 3 + 6 → 6 × 3 + 6 = 18 + 6 = 24
Right: 6 × 2³ ÷ (7 – 4) → 6 × 8 ÷ 3 = 48 ÷ 3 = 16
24 > 16 → >

11)
Left: 2³ × (9 – 6) → 8 × 3 = 24
Right: 8 × (11 – 2 × 4) → 8 × (11 – 8) = 8 × 3 = 24
24 = 24 → =

12)
Left: 4 × (6 – 3) × 5 → 4 × 3 × 5 = 12 × 5 = 60
Right: 13 × (25 – 3 × 7) → 13 × (25 – 21) = 13 × 4 = 52
60 > 52 → >

13)
Left: 8 – (3 + 4 × 2) → 8 – (3 + 8) = 8 – 11 = –3
Right: 40 ÷ (6 + 7 × 2) → 40 ÷ (6 + 14) = 40 ÷ 20 = 2
–3 < 2 → <

14)
Left: 5² – 2 × (12 – 9) → 25 – 2 × 3 = 25 – 6 = 19
Right: 9 + (14 ÷ (2 + 5)) → 9 + (14 ÷ 7) = 9 + 2 = 11
19 > 11 → >

15)
Left: (18 + 12) ÷ 3 × 5 → 30 ÷ 3 × 5 = 10 × 5 = 50
Right: 7² + (15 – 2 × 7) → 49 + (15 – 14) = 49 + 1 = 50
50 = 50 → =

16)
Left: ½ × (18 – 5 × 2) → ½ × (18 – 10) = ½ × 8 = 4
Right: 18 – (11 – 12 ÷ 3) → 18 – (11 – 4) = 18 – 7 = 11
4 < 11 → <

17)
Left: 7² – 36 ÷ 2 → 49 – 18 = 31
Right: 2 × 3 × (14 – 10) → 6 × 4 = 24
31 > 24 → >

18)
Left: 8 + 20 ÷ 4 + 6 → 8 + 5 + 6 = 19
Right: 60 ÷ (12 × 2 – 21) → 60 ÷ (24 – 21) = 60 ÷ 3 = 20
19 < 20 → <

19)
Left: 10 – (7 + 3 × 2) → 10 – (7 + 6) = 10 – 13 = –3
Right: 5 × (12 – 9) – 18 → 5 × 3 – 18 = 15 – 18 = –3
–3 = –3 → =

20)
Left: (60 – 12) ÷ (9 – 3) → 48 ÷ 6 = 8
Right: 6² ÷ (17 – 2³) → 36 ÷ (17 – 8) = 36 ÷ 9 = 4
8 > 4 → >

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Final Answer:
1) <
2) =
3) >
4) >
5) <
6) =
7) <
8) >
9) >
10) >
11) =
12) >
13) <
14) >
15) =
16) <
17) >
18) <
19) =
20) >