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Question

Estimate the quotient of 1,983 ÷ 38.
Round the divisor to the greatest place value.
38 -> 40
Look at multiples of 40.
_ x 40 = 1,600
40 x 50 = 2,000

We can estimate the quotient to be somewhere between 40 and _.

Answer 1

To estimate the quotient of 1,983 ÷ 38, you correctly rounded the divisor (38) to the nearest tens place, giving you 40.

Now, you calculate the multiples of 40:

• What number times 40 gives you something less than 1,983?

  • For the lower end of the estimate, you found: \[ 40 \times 40 = 1,600 \]
  • For the upper estimate, you found: \[ 40 \times 50 = 2,000 \]

Given that 1,983 is between 1,600 and 2,000, we can conclude the estimates:

The estimated quotient is somewhere between 40 and 50.

So, the answer is:

We can estimate the quotient to be somewhere between 40 and 50.