Comparing and Ordering Integers

This video tutorial for sixth graders covers the basics of integers, including their properties and examples. It explains how to compare and order integers using inequalities and provides practical examples to illustrate these concepts. The tutorial emphasizes understanding integers in terms of temperature and money, helping students grasp the idea of positive and negative values on a number line.

What is an integer?

• A symbol used in mathematics

• A number that can be positive or negative, including zero

• A number with a fractional part

• Any number that is positive

Which of the following is NOT an integer?

• 3.5

• 7

• 0

• -4

Which of the following numbers is an integer?

• 3.14159

• -2

• -3/4

• 2.5

What does the inequality symbol '<' represent?

• Not equal to

• Less than

• Greater than

• Equal to

What is the correct interpretation of the inequality '3 < 4'?

• 3 is greater than 4

• 3 is less than 4

• 3 is equal to 4

• 3 is not equal to 4

How do we read the inequality symbol with a slash through it?

• Greater than

• Less than

• Equal to

• Not equal to

If you have two numbers, 2 and -2, which inequality symbol correctly compares them?

• 2 = -2

• 2 > -2

• 2 != -2

• 2 < -2

Why is -3 considered less than -2?

• -3 and -2 are equal

• -3 is farther left on a number line than -2

• -3 is closer to zero than -2

• -3 is a larger number than -2

In the context of temperature, why would -8 be considered greater than -10?

• -8 and -10 are the same temperature

• -8 is colder than -10

• -8 is warmer than -10

• -10 is warmer than -8

Which of the following is a correct way to order the numbers 1, -3, and 5 from least to greatest?

• -3, 1, 5

• 1, -3, 5

• 1, 5, -3

• 5, 1, -3