Integer Division Concepts and Examples

Mr. Hul introduces a lesson on the division of integers, explaining the relationship between multiplication and division. The lesson includes a classroom activity where students match integer cards and create equations. The video explores integer multiplication and division, providing examples of division problems with positive and negative quotients. It discusses whether the quotient of two integers is always an integer, using counterexamples. The lesson concludes with an exploration of different representations of the same quotient.

What is an integer?

• A positive or negative number, including decimals and fractions

• A positive or negative number, excluding decimals and fractions

• A positive number only

• A negative number only

In the classroom activity, what was the purpose of matching cards with integer equations?

• To practice addition of integers

• To memorize multiplication tables

• To understand the relationship between multiplication and division

• To learn about fractions

What is the result of multiplying -6 by 4?

• -4

• -24

• 4

• 24

How can you create a division fact from the multiplication equation -6 * 4 = -24?

• 24 / -4 = 6

• -24 / 4 = -6

• -24 / -6 = 4

• 24 / 6 = 4

What must be true about the signs of the dividend and divisor for the quotient to be negative?

• The dividend must be zero

• One must be positive and one must be negative

• Both must be negative

• Both must be positive

Which of the following division problems results in a positive quotient?

• -4 / 4

• 24 / -4

• 24 / 6

• -24 / 6

Is the quotient of two integers always an integer?

• No, not always

• Only if both integers are positive

• Only if both integers are negative

• Yes, always

What is a counterexample in the context of integer division?

• An example that is irrelevant

• An example that is incorrect

• An example that disproves a statement

• An example that supports a statement

What happens when you divide a number with a smaller absolute value by a number with a greater absolute value?

• The quotient is a rational number

• The quotient is always positive

• The quotient is always an integer

• The quotient is always negative

What is the result of dividing 6 by -4?

• 0.25

• -0.25

• 1.5

• -1.5