Division Concepts and Techniques

What is the primary focus of the initial section on division models?

• Standard algorithm for division

• Subtraction methods in division

• Using models to understand division

• Advanced multiplication techniques

In the area model, what is the first step to solve a division problem?

• Add the divisor to the dividend

• Subtract the divisor from the dividend

• Find a number that, when multiplied by the divisor, gives a part of the dividend

• Multiply the divisor by 10

How does the area model approach division differently from multiplication?

• It requires guessing the quotient

• It uses addition instead of subtraction

• It uses division instead of multiplication

• It works backwards from the product to find factors

What is the main concept introduced in the transition to partial quotients?

• Using subtraction to find the quotient

• Using multiplication to simplify division

• Breaking down the dividend into smaller parts

• Finding parts of the quotient and adding them together

What is the advantage of using partial quotients in division?

• It simplifies the multiplication process

• It allows for easier subtraction

• It breaks down the problem into manageable parts

• It eliminates the need for a divisor

In the example of dividing 11 into 132 using partial quotients, what is the first step?

• Subtract 11 from 132

• Multiply 11 by a round number like 10

• Divide 132 by 11 directly

• Add 11 to 132

When using partial quotients, what do you do after finding a partial product?

• Add it to the dividend

• Divide it by the divisor

• Subtract it from the dividend

• Multiply it by the divisor

In the example of dividing 21 into 845, what is the remainder after using partial quotients?

• 10

• 5

• 15

• 20

What is the final quotient when dividing 43 into 731 using partial quotients?

• 21

• 15

• 17

• 19

Why is the number 10 often used in partial quotients?

• It is a prime number

• It simplifies calculations by adding a zero

• It is the largest number

• It is the smallest number