*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.

Question

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