Estimating Division and Remainders

The video tutorial explains how to solve division problems using long division, estimation, and rounding techniques. It demonstrates calculating quotients and handling remainders, followed by verifying results through inverse operations. The tutorial includes two examples, emphasizing the importance of estimation and verification in division.

What is the first step in solving the division problem of 8283 by 19?

• Find the exact multiples of 19.

• Use a calculator to find the answer.

• Estimate the quotient by rounding 19 to 20.

• Directly divide 8283 by 19.

Why is it easier to estimate by rounding 19 to 20?

• Because 20 is a round number.

• Because 20 is closer to 19 than 18.

• Because 19 is a prime number.

• Because 20 is easier to multiply.

How many times does 19 go into 82 according to the estimation?

• 6 times

• 5 times

• 4 times

• 3 times

What is the remainder when 8283 is divided by 19?

• 19

• 16

• 17

• 18

What is the purpose of checking the division result using multiplication?

• To verify the quotient and remainder.

• To find a new quotient.

• To simplify the division process.

• To practice multiplication skills.

What is the first step in solving the division problem of 1056 by 37?

• Find the exact multiples of 37.

• Directly divide 1056 by 37.

• Estimate the quotient by rounding 37 to 40.

• Use a calculator to find the answer.

Why is it not practical to find multiples of 37 directly?

• Because 37 is a large number.

• Because 37 is a prime number.

• Because 37 is not a round number.

• Because 37 is difficult to multiply.

How many times does 37 go into 105 according to the estimation?

• 4 times

• 3 times

• 2 times

• 1 time

What is the remainder when 1056 is divided by 37?

• 19

• 21

• 18

• 20

What is the purpose of checking the division result using multiplication for 1056 ÷ 37?

• To simplify the division process.

• To practice multiplication skills.

• To verify the quotient and remainder.

• To find a new quotient.