Long Division Concepts and Techniques

Professor Dave introduces long division, comparing it to multiplication. He explains the algorithm, emphasizing its elegance. Using examples, he demonstrates dividing 624 by 3 and 397 by 11, highlighting the process and introducing repeating decimals.

What is the main purpose of learning long division?

• To understand the concept of addition

• To reverse the process of multiplication

• To simplify subtraction

• To enhance knowledge of fractions

In long division, where do you place the dividend?

• Below the division symbol

• Inside the division symbol

• Above the division symbol

• To the left of the division symbol

What do you do if the divisor does not fit into the current digit of the dividend?

• Place a zero in the quotient

• Add the divisor to the current digit

• Skip to the next digit

• Subtract the divisor from the current digit

How do you handle a remainder in long division?

• Include it in the final answer

• Multiply it by the divisor

• Add it to the divisor

• Ignore it

When dividing by a two-digit number, what is the first step if the divisor doesn't fit into the first digit of the dividend?

• Multiply the first digit by the divisor

• Place a zero in the quotient

• Add a zero to the dividend

• Subtract the divisor from the first digit

What is the result of dividing 397 by 11?

• 35 with a remainder of 2

• 37 with a remainder of 0

• 36 with a remainder of 1

• 34 with a remainder of 3

What happens when you continue the division process to get decimal places?

• You get a repeating decimal

• The division stops immediately

• The remainder becomes zero

• The divisor changes

What is a repeating decimal?

• A decimal that changes its sequence randomly

• A decimal that repeats a sequence of digits indefinitely

• A decimal that ends after a few digits

• A decimal that is always zero

How does long division relate to rational numbers?

• It indicates that rational numbers cannot be divided

• It proves that rational numbers are always whole numbers

• It demonstrates that rational numbers can have repeating decimals

• It shows that all rational numbers are integers

What is the significance of the repeating decimal in division?

• It suggests the need for a different divisor

• It introduces the concept of rational numbers

• It shows the division is incomplete

• It indicates an error in calculation