Mastering Long Division with Remainders

This video tutorial explains three methods to handle remainders in long division: expressing the answer with a remainder, as a mixed number, and as a decimal. It includes a review of division notation and vocabulary, followed by step-by-step examples of dividing 357 by 4 and 47 by 22, demonstrating each method. The tutorial emphasizes the importance of aligning numbers in columns and provides mnemonic aids for the division steps. The video also covers how to handle repeating decimals.

What are the three main ways to handle remainders in long division?

• Express the answer as a whole number, as a mixed number, and as a decimal

• Express the answer with a remainder, as a fraction, and as a percentage

• Express the answer with a remainder, as a mixed number, and as a decimal

• Express the answer as a fraction, as a percentage, and as a decimal

Which symbol can be used to represent division?

• A dash with two dots

• A multiplication sign

• A percentage sign

• A plus sign

What is the first step in long division?

• Multiply

• Subtract

• Divide

• Bring down

In the example 357 divided by 4, what is the remainder?

• 4

• 2

• 1

• 3

How is the remainder expressed when converting to a mixed number?

• As a whole number

• As a decimal

• As a fraction

• As a percentage

What is the mixed number form of 357 divided by 4?

• 89 and 1/2

• 89 and 1/3

• 89 and 1/5

• 89 and 1/4

What do you add to the dividend to get a decimal answer?

• A percentage

• A fraction

• A decimal point and zeros

• A whole number

What is the decimal form of 357 divided by 4?

• 89.50

• 89.75

• 89.20

• 89.25

What is the remainder when 47 is divided by 22?

• 1

• 2

• 3

• 4

What is the repeating decimal form of 47 divided by 22?

• 2.36 with 36 repeating

• 2.13

• 2.36

• 2.45