Let's solve each problem by comparing the integers using the correct symbol:
> (greater than),
< (less than), or
= (equal to).
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Rules for Comparing Integers:
-
Positive numbers are always greater than
negative numbers.
-
Zero is greater than any negative number and less than any positive number.
- For
negative numbers, the one with the
larger absolute value is actually
smaller (e.g., -5 < -3 because 5 > 3).
- For
positive numbers, the larger number has the greater value.
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Now, let’s go through each problem:
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1.
20 ___ 37
→ 20 < 37
✔ <
2.
62 ___ 70
→ 62 < 70
✔ <
3.
-53 ___ 0
→ Negative numbers are less than zero
✔ <
4.
14 ___ 7
→ 14 > 7
✔ >
5.
-99 ___ 34
→ Negative < Positive
✔ <
6.
8 ___ 56
→ 8 < 56
✔ <
7.
87 ___ 43
→ 87 > 43
✔ >
8.
40 ___ 53
→ 40 < 53
✔ <
9.
-36 ___ 57
→ Negative < Positive
✔ <
10.
11 ___ 11
→ Equal
✔ =
11.
19 ___ -61
→ Positive > Negative
✔ >
12.
-32 ___ 89
→ Negative < Positive
✔ <
13.
21 ___ 49
→ 21 < 49
✔ <
14.
73 ___ -73
→ Positive > Negative
✔ >
15.
0 ___ -1
→ Zero > Negative
✔ >
16.
-37 ___ 15
→ Negative < Positive
✔ <
17.
-39 ___ -49
→ Compare absolute values: 39 < 49 → so -39 > -49
✔ >
18.
22 ___ 23
→ 22 < 23
✔ <
19.
-17 ___ -15
→ Absolute values: 17 > 15 → so -17 < -15
✔ <
20.
7 ___ -9
→ Positive > Negative
✔ >
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✔ Final Answers:
1. 20
< 37
2. 62
< 70
3. -53
< 0
4. 14
> 7
5. -99
< 34
6. 8
< 56
7. 87
> 43
8. 40
< 53
9. -36
< 57
10. 11
= 11
11. 19
> -61
12. -32
< 89
13. 21
< 49
14. 73
> -73
15. 0
> -1
16. -37
< 15
17. -39
> -49
18. 22
< 23
19. -17
< -15
20. 7
> -9
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Let me know if you'd like this printed or formatted as a worksheet!
Parent Tip: Review the logic above to help your child master the concept of math worksheet integers.