Understanding Integers and Their Representations

Mrs. Lehmann introduces the lesson on integers, reviewing positive and negative numbers. She discusses homework problems, emphasizing the importance of understanding integer representation in real-world contexts. The lesson covers sea level and elevation, using number lines and scales to represent integers. Students are instructed on a problem set to reinforce learning, with a focus on avoiding double negatives in mathematical expressions.

What is an integer?

• A whole number that can be positive or negative

• A number with a decimal

• A fraction

• A number with a square root

If you gain 56 points in a game, how would you express this as an integer?

• -56

• +56

• 0

• 56

Which of the following is a correct way to express a temperature of 10 degrees below zero?

• -10 degrees below zero

• 10 degrees below zero

• -10 degrees

• 10 degrees

What does sea level represent in terms of integers?

• Zero

• A negative integer

• A positive integer

• A fraction

How would you represent a hiker who is 15 feet above sea level on a number line?

• -15

• 0

• 15

• 30

What is the importance of choosing an appropriate scale on a number line?

• To make the number line look pretty

• To confuse the reader

• To make the number line longer

• To ensure all numbers fit and are represented accurately

Which statement is correct regarding a submarine 800 feet below sea level?

• The depth is -800 feet below sea level

• The depth is 800 feet

• The depth is -800 feet

• The depth is 800 feet below sea level

What should you do if a statement contains a double negative?

• Leave it as it is

• Correct it to have only one negative

• Add another negative

• Ignore it

In a story problem involving integers, what does zero typically represent?

• A positive balance

• A negative balance

• The starting point

• The highest point

If a bank account starts at zero and you deposit $225, what is the integer representation?

• +225

• 225

• 0

• -225