Estimate the quotient of 1,983 ÷ 38.

Question

Round the divisor to the greatest place value.
38 → 40
Look at multiples of 40.
Double
____× 40 = 1,600

40 × 50 = 2,000
We can estimate the quotient to be somewhere between 40
and____

Answer 1

To estimate the quotient of \( 1983 \div 38 \), we can round the divisor \( 38 \) to the nearest tens place, which is \( 40 \).

Next, we look for multiples of \( 40 \) that are near \( 1983 \). We can calculate:

• \( 40 \times 40 = 1600 \)
• \( 40 \times 50 = 2000 \)

Since \( 1983 \) falls between \( 1600 \) and \( 2000 \), we know that the estimated quotient \( 1983 \div 40 \) is somewhere between \( 40 \) and \( 50 \).

Thus, the estimated quotient is between \( 40 \) and \( 50 \).