To determine where the first digit of the quotient for \( 2,370 \div 24 \) should be placed, we can look at the first few digits of the numbers in question rather than performing actual division.
- We can round \( 24 \) up to \( 25 \) for estimation purposes.
- Now we can estimate how many times \( 25 \) fits into \( 2,370 \).
We can calculate:
- \( 25 \times 100 = 2,500 \) (too high)
- \( 25 \times 90 = 2,250 \) (close but under)
- \( 25 \times 95 = 2,375 \) (too high)
From this estimation, we see that \( 25 \) goes into \( 2,370 \) approximately 90 times or so.
Looking at \( 90 \), we notice that the first digit (which is 9) is in the tens place.
So, the first digit of the quotient will be in the B tens place.