Integers/Graphing & Absolute Value

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

How do you find the absolute value of a negative number?

Back

To find the absolute value of a negative number, remove the negative sign. For example, the absolute value of -5 is 5.

Front

What is the opposite of a number on the number line?

Back

The opposite of a number is the number that is the same distance from zero but in the opposite direction. For example, the opposite of 3 is -3.

Front

How do you represent a loss in terms of integers?

Back

A loss is represented by a negative integer. For example, a loss of 14 pounds is represented as -14.

Front

How do you represent a gain in terms of integers?

Back

A gain is represented by a positive integer. For example, a gain of 7 degrees is represented as 7.

Front

What integer represents a withdrawal of money?

Back

A withdrawal of money is represented by a negative integer. For example, withdrawing $15 is represented as -15.

Front

What is the significance of the number zero in relation to integers?

Back

Zero is the integer that separates positive integers from negative integers on the number line. It has no value but is crucial for defining positive and negative numbers.

Front

How do you graph integers on a number line?

Back

To graph integers on a number line, mark points corresponding to each integer, with negative integers to the left of zero and positive integers to the right.

Front

What is the relationship between absolute value and real-world contexts?

Back

Absolute value can represent real-world quantities such as distance, temperature changes, and financial transactions, where direction (positive or negative) matters.

Front

How do you convert a real-world scenario into an integer?

Back

Identify the context of the scenario (gain or loss) and assign a positive or negative integer accordingly. For example, a temperature drop of 5 degrees is -5.