Question

Dividing by Finding Group Size
Divide: 127 ÷ 3
How many groups?______
Double tap to
Write the dividend in expanded form.

Regroup the hundreds piece into 10 tens.
The quotient is the size of the groups. There is 1 left over:
42 R_____

Check the answer. Multiply the quotient by the addisor and add the remainder.

Our answer is confirmed.

Answer 1

Let’s go through the division process step by step:

1. **Divide: 127 ÷ 3**

We need to find out how many groups of 3 can fit into 127.

2. **Write the dividend in expanded form:**

127 can be expressed in expanded form as:
- \(100 + 20 + 7\)

3. **Regroup the hundreds piece into 10 tens:**

We can take 100 and break it down into 10 tens:
- \( (100 = 10 \times 10)\)

So now, the new expanded form is:
- \( (10 \times 10) + 20 + 7\)

This gives us \(10 + 2 = 12\) tens (remembering we had 7 single units from before).

4. **Start the division:**
- First, see how many times 3 fits into 12 (from 120):
- \(3 \times 4 = 12\).
- So there are 4 full groups of 3 in 12.

- This accounts for 120.
- Then, 7 minus what we used equals a remainder of 7.

5. **Now, we can include the leftover 7 units:**

- \(3\) fits into \(7\) how many times? That gives \(2\) groups.
- Remaining is \(7 - 6 = 1\).

So, the final quotient is \(42\) with a remainder of \(1\).

5. **The final answer is:**
\( \text{Quotient: } 42 \text{ R } 1\)

6. **Check the answer:**

To check:
- Multiply the quotient by the divisor and add the remainder.
- \(42 \times 3 + 1 = 126 + 1 = 127\).

7. **Conclusion:**

Our answer is confirmed, and we have:
- How many groups? **42 R 1**.