*Decide which place value spot the first digit in the quotient will be placed in. You can make an estimate, use number sense, or multiply the divisor by 10, 100, or 1,000.

Question

7.) 2,645 ÷ 17
The 1st digit of the quotient will be placed in:

Answer 1

To figure out where the first digit in the quotient of \( 2,645 \div 17 \) will be placed, we can start with an estimation.

1. Estimating: We can round \( 17 \) to \( 20 \), as it is close and easier to work with. This means we can estimate as follows:

   \[ 2,645 \div 20 \]

   Now, doing the division:

   \[ 2,645 \div 20 = 132.25 \]

   This estimation shows that the quotient is approximately \( 132 \).

2. Finding the place value: The estimated quotient \( 132 \) suggests that the first digit, which is \( 1 \), will be placed in the hundreds place.

Therefore, the first digit of the quotient will be placed in the hundreds place.