Understanding Long Division and Approximation Methods

The video tutorial explains how to solve a division problem using both traditional long division and a new approximation method. Initially, the traditional method is demonstrated with a step-by-step approach, highlighting the trial and error involved. The tutorial then introduces an approximation method that allows for more flexibility and estimation, providing a detailed example to illustrate the process. This method involves making educated guesses and adjusting as needed to find the solution, ultimately achieving the same result as the traditional method.

What is the first step in traditional long division when dividing 1,388 by 16?

• Subtract 16 from 1,388

• Determine how many times 16 goes into 1

• Add 16 to 1,388

• Multiply 16 by 10

In the traditional method, what do you do if your initial guess is too high?

• Divide the guess by 2

• Multiply the guess by 2

• Add more to the guess

• Try a smaller number

What is the main advantage of the approximation method over the traditional method?

• It requires no calculations

• It always gives an exact answer

• It allows for more flexibility and guessing

• It uses only even numbers

When using the approximation method, what is the purpose of using known multiples of 16?

• To make educated guesses

• To avoid any calculations

• To ensure exact division

• To simplify subtraction

In the approximation method, what happens if a guessed multiple is too large?

• Add more to the guess

• Choose a smaller multiple

• Divide the guess by 2

• Multiply the guess by 2

How does the approximation method handle remainders?

• By multiplying them by 16

• By adding them to the quotient

• By ignoring them

• By subtracting chunks until no more division is possible

What is the final step in the approximation method?

• Add up all the guessed multiples

• Multiply the remainder by 16

• Divide the remainder by 16

• Subtract the remainder from the original number

What is the result of dividing 1,388 by 16 using the approximation method?

• 87 with a remainder of 11

• 85 with a remainder of 13

• 86 with a remainder of 12

• 84 with a remainder of 14

Why might someone prefer the approximation method over the traditional method?

• It allows for more flexibility and less exact calculations

• It is faster and requires no thinking

• It always gives a remainder of zero

• It uses only odd numbers

What is a key feature of the approximation method?

• Biting away chunks of the number being divided

• Always using the number 10

• Ignoring the remainder

• Using only prime numbers