Question

*For problems 1-5, without completing the division problem, tell in which place to write the first digit of the quotient. You can make an estimate to help you decide or multiply the divisor by 10, 100, or 1,000.
Example: 2,535 ÷ 12
Estimate: 2,400 ÷ 12 = 200 so the quotient will start in the hundreds place.
Or
12 x 10 = 120
12 x 100 = 1,200
12 x 1,000 = 12,000 the quotient will still be in the hundreds place

3,418 ÷ 16
The quotient will start in what place value spot?:

1,577 ÷ 50
The quotient will start in what place value spot?:

8,045 ÷ 24
The quotient will start in what place value spot?:

5,500 ÷ 90
The quotient will start in what place value spot?:

2,838 ÷ 11
The quotient will start in what place value spot?:

Answer 1

To determine in which place to write the first digit of the quotient for each division problem, we can make estimates and check the divisor multiplied by 10, 100, or 1,000.

1. **3,418 ÷ 16**
Estimate: 3,400 ÷ 16 ≈ 212.5
Multiplying the divisor:
16 x 10 = 160
16 x 100 = 1,600
16 x 1,000 = 16,000
The quotient will start in the **hundreds place**.

2. **1,577 ÷ 50**
Estimate: 1,500 ÷ 50 = 30
Multiplying the divisor:
50 x 10 = 500
50 x 100 = 5,000
The quotient will start in the **tens place**.

3. **8,045 ÷ 24**
Estimate: 8,000 ÷ 24 ≈ 333.33
Multiplying the divisor:
24 x 10 = 240
24 x 100 = 2,400
The quotient will start in the **hundreds place**.

4. **5,500 ÷ 90**
Estimate: 5,400 ÷ 90 = 60
Multiplying the divisor:
90 x 10 = 900
90 x 100 = 9,000
The quotient will start in the **tens place**.

5. **2,838 ÷ 11**
Estimate: 2,800 ÷ 11 ≈ 254.55
Multiplying the divisor:
11 x 10 = 110
11 x 100 = 1,100
The quotient will start in the **hundreds place**.

Here are the summarized places for each problem:
1. **Hundreds place**
2. **Tens place**
3. **Hundreds place**
4. **Tens place**
5. **Hundreds place**