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Printable "Comparing Quantities" math worksheet for kids, designed to practice arithmetic and comparison skills.

Math order of operations worksheets using the BODMAS and Pemdas

Educational worksheet: Math order of operations worksheets using the BODMAS and Pemdas. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Math order of operations worksheets using the BODMAS and Pemdas
Let’s solve each part step by step. We’ll do the math carefully and then fill in the correct symbols or matches.

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Part A: Fill with = or ≠

We calculate both sides of each equation and compare.

1)
Left: 2 × 3 + 5 = 6 + 5 = 11
Right: 6 ÷ 2 + 5 = 3 + 5 = 8
→ 11 ≠ 8 →

2)
Left: 12 - 2 × 8 + 7 = 12 - 16 + 7 = (-4) + 7 = 3
Right: 4 + 5 - 3 × 2 = 9 - 6 = 3
→ 3 = 3 → =

3)
Left: 7 - 3 × 4 ÷ 6 = 7 - (12 ÷ 6) = 7 - 2 = 5
Right: 10 ÷ 2 + 3 = 5 + 3 = 8
→ 5 ≠ 8 →

4)
Left: 6 + 4 ÷ 2 = 6 + 2 = 8
Right: 7 + 12 ÷ 3 = 7 + 4 = 11
→ 8 ≠ 11 →

5)
Left: 8 + 2 × 3 ÷ 6 - 4 = 8 + (6 ÷ 6) - 4 = 8 + 1 - 4 = 5
Right: 5 × 4 - 15 = 20 - 15 = 5
→ 5 = 5 → =

6)
Left: 3 × 2 + 8 = 6 + 8 = 14
Right: 11 + 2 × 3 - 3 = 11 + 6 - 3 = 14
→ 14 = 14 → =

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Part B: Fill with <, >, or =

7)
Left: 8 × 4 + 2 - 8 = 32 + 2 - 8 = 26
Right: 9 ÷ 3 + 1 = 3 + 1 = 4
→ 26 > 4 → >

8)
Left: 15 × 2 - 9 ÷ 3 = 30 - 3 = 27
Right: 30 - 15 ÷ 5 = 30 - 3 = 27
→ 27 = 27 → =

9)
Left: 5 + 2 - 4 × 7 ÷ 2 = 7 - (28 ÷ 2) = 7 - 14 = -7
Right: 12 - 6 ÷ 2 × 5 = 12 - 3 × 5 = 12 - 15 = -3
→ -7 < -3 → <

10)
Left: 7 + 5 × 2 - 4 = 7 + 10 - 4 = 13
Right: 18 ÷ 9 + 7 - 3 = 2 + 7 - 3 = 6
→ 13 > 6 → >

11)
Left: 12 + 8 × 2 = 12 + 16 = 28
Right: 7 × 3 + 9 - 2 = 21 + 9 - 2 = 28
→ 28 = 28 → =

12)
Left: 6 - 51 ÷ 3 = 6 - 17 = -11
Right: 24 ÷ 6 + 2 - 8 × 5 = 4 + 2 - 40 = 6 - 40 = -34
→ -11 > -34 → >

*(Remember: -11 is greater than -34 because it’s closer to zero on the number line.)*

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Part C: Match equal quantities

We calculate each expression and match pairs that give same result.

13) Left: 12 + 3 × 2 - 8 = 12 + 6 - 8 = 10
Look for right side = 10:
→ 14 ÷ 7 + 21 - 4 = 2 + 21 - 4 = 19
→ 6 + 2 × 3 - 23 = 6 + 6 - 23 = -11
→ 3 × 3 + 1 = 9 + 1 = 10 → So 13 matches with “3×3+1”

Wait — let’s list all right-side expressions first:

Right column:
- 14 ÷ 7 + 21 - 4 = 2 + 21 - 4 = 19
- 6 + 2 × 3 - 23 = 6 + 6 - 23 = -11
- 3 × 3 + 1 = 9 + 1 = 10
- 2 × 3 - 10 = 6 - 10 = -4

Now left column:

13) 12 + 3×2 - 8 = 12 + 6 - 8 = 10 → matches 3×3+1

14) 9 - 12 ÷ 3 + 2×7 = 9 - 4 + 14 = 5 + 14 = 19 → matches 14÷7+21-4

15) 24 ÷ 6 - 8 = 4 - 8 = -4 → matches 2×3 - 10

16) 10 + 7 - 14×2 = 17 - 28 = -11 → matches 6 + 2×3 - 23

Perfect! All matched.

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Final Answer:

A)
1) ≠
2) =
3) ≠
4) ≠
5) =
6) =

B)
7) >
8) =
9) <
10) >
11) =
12) >

C)
13) ↔ 3 × 3 + 1
14) ↔ 14 ÷ 7 + 21 - 4
15) ↔ 2 × 3 - 10
16) ↔ 6 + 2 × 3 - 23
Parent Tip: Review the logic above to help your child master the concept of math order of operations worksheets.
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