Explanation:
We need to compare pairs of integers and fill in the correct symbol:
> (greater than),
< (less than), or
= (equal to).
Remember:
- Positive numbers are always greater than negative numbers.
- Among negative numbers, the one *closer to zero* is greater.
Example: −3 > −7 because −3 is to the right of −7 on the number line.
- Zero is greater than any negative number and less than any positive number.
Let’s go through each problem one by one:
1) 6 ___ −73
6 is positive, −73 is negative → 6 > −73
✔ Answer:
>
2) 36 ___ 10
Both positive; 36 > 10
✔ Answer:
>
3) 22 ___ −63
22 positive, −63 negative → 22 > −63
✔ Answer:
>
4) 36 ___ −13
36 positive, −13 negative → 36 > −13
✔ Answer:
>
5) −21 ___ 53
−21 negative, 53 positive → −21 < 53
✔ Answer:
<
6) 19 ___ −81
19 positive, −81 negative → 19 > −81
✔ Answer:
>
7) −29 ___ −87
Both negative. Which is closer to zero? −29 is (since |−29| = 29 < 87). So −29 > −87
✔ Answer:
>
8) 19 ___ −36
19 positive, −36 negative → 19 > −36
✔ Answer:
>
9) 47 ___ 57
Both positive; 47 < 57
✔ Answer:
<
10) −69 ___ −84
Both negative. |−69| = 69, |−84| = 84 → −69 is closer to zero → −69 > −84
✔ Answer:
>
11) −92 ___ −24
Both negative; |−92| = 92, |−24| = 24 → −24 is closer to zero → −92 < −24
✔ Answer:
<
12) 99 ___ −27
99 positive, −27 negative → 99 > −27
✔ Answer:
>
13) −92 ___ −40
|−92| = 92, |−40| = 40 → −40 is closer to zero → −92 < −40
✔ Answer:
<
14) 40 ___ 27
Both positive; 40 > 27
✔ Answer:
>
15) −64 ___ 39
−64 negative, 39 positive → −64 < 39
✔ Answer:
<
16) −19 ___ −86
|−19| = 19, |−86| = 86 → −19 is closer to zero → −19 > −86
✔ Answer:
>
17) 28 ___ −30
28 positive, −30 negative → 28 > −30
✔ Answer:
>
18) −63 ___ 51
−63 negative, 51 positive → −63 < 51
✔ Answer:
<
19) 6 ___ −80
6 positive, −80 negative → 6 > −80
✔ Answer:
>
20) 90 ___ −86
90 positive, −86 negative → 90 > −86
✔ Answer:
>
Now let’s list all answers in order:
1) >
2) >
3) >
4) >
5) <
6) >
7) >
8) >
9) <
10) >
11) <
12) >
13) <
14) >
15) <
16) >
17) >
18) <
19) >
20) >
Double-check a few tricky ones:
- #7: −29 vs −87 → yes, −29 > −87 ✔
- #11: −92 vs −24 → −92 is more negative, so < ✔
- #16: −19 vs −86 → −19 > −86 ✔
All correct.
Final Answer:
> , > , > , > , < , > , > , > , < , > , < , > , < , > , < , > , > , < , > , >
Parent Tip: Review the logic above to help your child master the concept of greater than less than integers.