Let's solve each problem by comparing the pairs of integers using the symbols
> (greater than),
< (less than), or
= (equal to).
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🔍 Rules for Comparing Integers:
-
Positive numbers are always greater than
negative numbers.
- Among
negative numbers, the one with the
larger absolute value is actually
smaller (e.g., -75 < -57 because 75 > 57).
-
Zero is greater than any negative number and less than any positive number.
- Equal numbers use
=.
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Now, let’s go through each pair:
1.
-7 □ 14
→ -7 is negative, 14 is positive →
-7 < 14
2.
35 □ -80
→ 35 is positive, -80 is negative →
35 > -80
3.
44 □ 44
→ Same number →
44 = 44
4.
13 □ 31
→ Both positive; 13 < 31 →
13 < 31
5.
38 □ 28
→ Both positive; 38 > 28 →
38 > 28
6.
69 □ 96
→ Both positive; 69 < 96 →
69 < 96
7.
13 □ -31
→ Positive vs negative →
13 > -31
8.
-35 □ 25
→ Negative vs positive →
-35 < 25
9.
62 □ 62
→ Same number →
62 = 62
10.
-25 □ 105
→ Negative vs positive →
-25 < 105
11.
-1 □ 1
→ Negative vs positive →
-1 < 1
12.
53 □ -77
→ Positive vs negative →
53 > -77
13.
99 □ 0
→ Positive vs zero →
99 > 0
14.
-14 □ 14
→ Negative vs positive →
-14 < 14
15.
-75 □ -57
→ Both negative: compare absolute values: 75 > 57 → so -75 < -57 →
-75 < -57
16.
81 □ 81
→ Same number →
81 = 81
17.
-9 □ 41
→ Negative vs positive →
-9 < 41
18.
20 □ 20
→ Same number →
20 = 20
19.
-66 □ -11
→ Both negative: |66| > |11| → so -66 < -11 →
-66 < -11
20.
32 □ -97
→ Positive vs negative →
32 > -97
21.
-109 □ 107
→ Negative vs positive →
-109 < 107
22.
625 □ -265
→ Positive vs negative →
625 > -265
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✔ Final Answers:
1. -7 < 14
2. 35 > -80
3. 44 = 44
4. 13 < 31
5. 38 > 28
6. 69 < 96
7. 13 > -31
8. -35 < 25
9. 62 = 62
10. -25 < 105
11. -1 < 1
12. 53 > -77
13. 99 > 0
14. -14 < 14
15. -75 < -57
16. 81 = 81
17. -9 < 41
18. 20 = 20
19. -66 < -11
20. 32 > -97
21. -109 < 107
22. 625 > -265
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Parent Tip: Review the logic above to help your child master the concept of integers worksheet grade 7.