Let’s go through each comparison one by one, using logic to determine whether we can compare the numbers even with hidden digits.
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1. `1 ○ 0`
- Left:
1 (a single-digit number)
- Right:
0 (a single-digit number)
We know that
1 > 0.
✔ Answer: `>`
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2. `□8 ○ 16`
- Left: A two-digit number ending in
8, so it’s
?8 — could be 08, 18, 28, ..., 98.
- Right:
16
Now, let’s think:
- The smallest possible value for ?8 is
08 = 8, which is
less than 16.
- The largest possible value is
98, which is
greater than 16.
- Also,
18 > 16, and
08 < 16.
So depending on the hidden digit, the number could be either less than or greater than 16.
✘ We cannot determine for sure.
✔ Answer: `?`
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3. `□□ ○ □□□`
- Left: A
two-digit number (between 10 and 99, assuming no leading zero — though even if 00–99, max is 99).
- Right: A
three-digit number (minimum is 100, since leading zeros aren’t typically allowed in standard number representation).
Any two-digit number is
less than any three-digit number.
Example: 99 < 100
✔ Answer: `<`
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4. `7□ ○ □7`
- Left:
7_ → a two-digit number starting with 7 → ranges from
70 to 79
- Right:
_7 → a two-digit number ending in 7 → ranges from
07 to 97 (but 07 is just 7, which is single-digit; usually we consider 17, 27, ..., 97)
Let’s test extremes:
- Smallest left:
70
- Largest right:
97 → 70 < 97 → possible less
- Largest left:
79
- Smallest right:
17 → 79 > 17 → possible greater
Also, what if both are equal? Is there a case where 7_ = _7?
→ 77 = 77 → yes! So equality is possible.
But since we can have:
- 70 < 17? No — 70 > 17
Wait, let’s correct that:
Actually, right side: _7 → could be 17, 27, 37, ..., 97, or even 07 (which is 7)
So:
- Left: 70–79
- Right: 7, 17, 27, ..., 97
Compare:
- If right is
7 → 70 > 7 → left > right
- If right is
97 → 79 < 97 → left < right
- If right is
77 → 77 = 77 → equal
So all three relations are possible depending on the hidden digits.
✘ Cannot determine for sure.
✔ Answer: `?`
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##
✔ Final Answers:
1. `1 > 0`
2. `□8 ? 16`
3. `□□ < □□□`
4. `7□ ? □7`
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Summary:
- Line 1: `>`
- Line 2: `?`
- Line 3: `<`
- Line 4: `?`
You can fill them in accordingly!
Parent Tip: Review the logic above to help your child master the concept of russian math worksheet.
