Understanding Integers and Absolute Values

The video tutorial by Houston Math Prep introduces the concept of integers, explaining their formation from whole numbers by including negative counterparts. It covers two models for representing integers: the number line model, which shows positive and negative directions from zero, and the chip model, which uses colored chips to visualize positive and negative values. The tutorial also explains absolute value as the distance of a number from zero, regardless of direction.

What is the set of numbers called that includes 0, 1, 2, 3, and so on?

• Rational numbers

• Integers

• Natural numbers

• Whole numbers

How do we form the set of integers?

• By including only zero

• By including only positive numbers

• By including positive numbers, negative numbers, and zero

• By including only negative numbers

What is the opposite of a positive whole number?

• A larger positive number

• A fraction

• Zero

• A negative number

In the number line model, which direction do positive numbers move?

• Left

• Right

• Up

• Down

How is the number -2 represented on a number line?

• Two units above zero

• At zero

• Two units to the right of zero

• Two units to the left of zero

What is the starting point for modeling numbers on a number line?

• One

• Any positive number

• Negative one

• Zero

In the chip model, what does a chip with a plus sign represent?

• A positive one

• A negative one

• Zero

• A fraction

What happens when a positive chip and a negative chip are combined in the chip model?

• They add to a negative number

• They add to a positive number

• They multiply to a positive number

• They add to zero

How can the number -1 be modeled using chips?

• Two positive chips and three negative chips

• One negative chip

• One positive chip

• Three positive chips and two negative chips

What does the absolute value of an integer represent?

• Its value squared

• Its direction from zero

• Its value halved

• Its distance from zero