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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
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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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