Let's solve each problem in the
"Comparing Two Numbers Worksheet" step by step. We will use the symbols:
- `<` (less than)
- `>` (greater than)
- `=` (equal to)
We compare numbers digit by digit from left to right, starting with the highest place value.
---
1) 15 341 < 15 349
✔ Already given as an example.
Both numbers start with 15, then 341 vs 349 → 341 < 349 → So,
<
---
2) 32 420 □ 42 399
Compare:
- First number: 32,420
- Second number: 42,399
Leftmost digits: 3 vs 4 → 3 < 4 → So,
32,420 < 42,399
👉
<
---
3) 7 901 □ 7 910
Both start with 7,9 → Compare next digits:
- 7,901 vs 7,910
Look at tens place: 0 vs 1 → 0 < 1 → So,
7,901 < 7,910
👉
<
---
4) 12 351 □ 12 351
Same numbers → Equal
👉
=
---
5) 34 951 □ 86 212
First digits: 3 vs 8 → 3 < 8 → So,
34,951 < 86,212
👉
<
---
6) 44 406 □ 85 105
First digits: 4 vs 8 → 4 < 8 → So,
44,406 < 85,105
👉
<
---
7) 404 □ 639
First digits: 4 vs 6 → 4 < 6 → So,
404 < 639
👉
<
---
8) 243 □ 321
First digits: 2 vs 3 → 2 < 3 → So,
243 < 321
👉
<
---
9) 45 □ 405
Compare digits:
- 45 is two-digit, 405 is three-digit → More digits means larger number
So,
45 < 405
👉
<
---
10) 2 154 □ 21 054
- 2,154 vs 21,054
First number has 4 digits, second has 5 → So,
2,154 < 21,054
👉
<
---
11) 58 488 □ 58 488
Same numbers → Equal
👉
=
---
12) 4 850 □ 48 500
- 4,850 vs 48,500
4,850 has 4 digits, 48,500 has 5 → So,
4,850 < 48,500
👉
<
---
13) 56 112 □ 46 121
First digits: 5 vs 4 → 5 > 4 → So,
56,112 > 46,121
👉
>
---
14) 33 333 □ 33 033
Compare digit by digit:
- 33,333 vs 33,033
Thousands and hundreds are same (33), now look at tens:
- 333 vs 033 → 333 > 033 → So,
33,333 > 33,033
👉
>
---
15) 27 □ 207
27 is two-digit, 207 is three-digit → So,
27 < 207
👉
<
---
16) 64 776 □ 60 776
Compare:
- 64,776 vs 60,776
Thousands place: 64 vs 60 → 64 > 60 → So,
64,776 > 60,776
👉
>
---
17) 430 □ 403
Compare:
- Hundreds: both 4
- Tens: 3 vs 0 → 3 > 0 → So,
430 > 403
👉
>
---
18) 7 884 □ 7 884
Same numbers → Equal
👉
=
---
19) 442 □ 424
Hundreds: both 4
Tens: 4 vs 2 → 4 > 2 → So,
442 > 424
👉
>
---
20) 91 □ 19
- 91 vs 19
Tens: 9 vs 1 → 9 > 1 → So,
91 > 19
👉
>
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | < |
| 2) | < |
| 3) | < |
| 4) | = |
| 5) | < |
| 6) | < |
| 7) | < |
| 8) | < |
| 9) | < |
| 10) | < |
| 11) | = |
| 12) | < |
| 13) | > |
| 14) | > |
| 15) | < |
| 16) | > |
| 17) | > |
| 18) | = |
| 19) | > |
| 20) | > |
---
🔍 Summary of Comparison Rules:
- Start comparing from the
leftmost digit.
- If digits differ at any place, the number with the larger digit is greater.
- If all digits are same → equal.
- A number with more digits is always larger than one with fewer digits (if they're positive).
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of comparing ordering numbers worksheet 3rd.