Understanding Division with Tile Models

The video tutorial explains how to divide integers, focusing on the case where the signs of the numbers are different, resulting in a negative quotient. It uses a model with red tiles to visually demonstrate the process, introducing the concept of zero pairs to achieve the desired number of negative tiles. The tutorial concludes by removing groups of positive tiles to calculate the negative quotient, emphasizing the understanding of integer division through visual aids.

What is the result when dividing two integers with different signs?

• The quotient is negative.

• The quotient is zero.

• The quotient is positive.

• The quotient is undefined.

What is the quotient of -12 divided by 3?

• -3

• 3

• 4

• -4

When dividing -12 by 3, what is the significance of the signs of the numbers?

• They determine the sign of the quotient.

• They have no significance.

• They determine the size of the quotient.

• They determine if division is possible.

In the tile model, what do the red tiles represent?

• Zero

• Fractions

• Negative numbers

• Positive numbers

Why can't we use sets of positive 3 to get negative 12 tiles?

• Because the tiles are too small.

• Because there are not enough tiles.

• Because positive tiles cannot be used to represent negative numbers.

• Because the tiles are not divisible.

What is the purpose of using zero pairs in the tile model?

• To increase the number of tiles.

• To decrease the number of tiles.

• To maintain the balance while adding negative tiles.

• To change the color of the tiles.

How many zero pairs are needed to achieve 12 negative tiles?

• 6

• 12

• 24

• 18

What happens to the zero pairs in the tile model?

• They cancel each other out.

• They add to the total number of tiles.

• They multiply the tiles.

• They change color.

What is the result of taking out groups of positive three tiles?

• It increases the number of positive tiles.

• It decreases the number of negative tiles.

• It leaves 12 negative tiles in the bank.

• It changes the color of the tiles.

How many groups of positive three tiles are removed to achieve the final result?

• 3

• 6

• 4

• 5