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.