Rounding Numbers Worksheet - Rounding Challenges - Free Printable

Let’s solve each challenge step by step using the clues.

---

## ✔ CHALLENGE A

Clues:
1. I am a 3-digit number.
2. I am 700 rounded to the nearest 100.
3. If you round me to the nearest 10, I round down not up.
4. My tens digit is odd, but I am even.

Step 1: Apply Clue 1 & 2 — 3-digit number that rounds to 700 to nearest 100

Numbers that round to 700 (nearest 100) are from 650 to 749 (inclusive).

So possible numbers from the list must be in this range:

Given options:
- 675 → ✔️ (in 650–749)
- 752 → ✘ (752 rounds to 800)
- 6278 → ✘ (4-digit, violates clue 1)
- 812 → ✘ (rounds to 800)
- 717 → ✔️
- 698 → ✔️
- 654 → ✔️
- 786 → ✘ (rounds to 800)

✔ So candidates: 675, 717, 698, 654

---

Step 2: Apply Clue 3 — Round to nearest 10, I round DOWN not up

That means the units digit is 0–4, because those cause rounding *down* to the nearest 10.

Check each candidate:

- 675 → units digit = 5 → rounds up to 680 ✘
- 717 → units digit = 7 → rounds up to 720 ✘
- 698 → units digit = 8 → rounds up to 700 ✘
- 654 → units digit = 4 → rounds down to 650 ✔️

✔ Only 654 satisfies this clue.

---

Step 3: Apply Clue 4 — Tens digit is odd, but I am even

Check 654:

- Tens digit = 5 → odd ✔️
- Is 654 even? Yes, ends in 4 → even ✔️

✔ All clues satisfied!

---

🟩 Answer for Challenge A: 654

---

## ✔ CHALLENGE B

Clues:
1. I am a 4-digit number.
2. I am 5000 rounded to the nearest 1000.
3. If you round me to the nearest 10, I round up not down.
4. I am odd.

Step 1: Apply Clue 1 & 2 — 4-digit number that rounds to 5000 to nearest 1000

Numbers that round to 5000 (nearest 1000) are from 4500 to 5499.

Options:
- 5638 → ✘ (rounds to 6000)
- 4753 → ✔️ (in 4500–5499)
- 4029 → ✘ (rounds to 4000)
- 5214 → ✔️
- 5029 → ✔️
- 4327 → ✘ (rounds to 4000)
- 6118 → ✘ (rounds to 6000)
- 4841 → ✔️

✔ Candidates: 4753, 5214, 5029, 4841

---

Step 2: Apply Clue 3 — Round to nearest 10, I round UP not down

That means units digit is 5–9 (because those cause rounding *up* to next 10).

Check each:

- 4753 → units = 3 → rounds down to 4750 ✘
- 5214 → units = 4 → rounds down to 5210 ✘
- 5029 → units = 9 → rounds up to 5030 ✔️
- 4841 → units = 1 → rounds down to 4840 ✘

✔ Only 5029 satisfies this.

---

Step 3: Apply Clue 4 — I am odd

5029 → ends in 9 → odd ✔️

✔ All clues satisfied!

---

🟩 Answer for Challenge B: 5029

---

## ✔ Final Answers:

- Challenge A: 654
- Challenge B: 5029

Let me know if you’d like a visual explanation or printable version!