Absolute Value and Word Problems

Front

What is the definition of integers?

Back

Integers are a set of whole numbers that include all positive whole numbers, negative whole numbers, and zero.

Front

How do you calculate the difference between two temperatures?

Back

To calculate the difference between two temperatures, subtract the lower temperature from the higher temperature.

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

If a diver is 40 feet below the surface and a fisherman is 12 feet above the surface, how do you find the distance between them?

Back

To find the distance between the diver and the fisherman, add the absolute values of their depths: |-40| + |12| = 40 + 12 = 52 feet.

Front

What is the absolute value of -18?

Back

The absolute value of -18 is 18.

Front

What is the absolute value of 9?

Back

The absolute value of 9 is 9.

Front

What is the relationship between absolute value and distance?

Back

Absolute value represents the distance of a number from zero on the number line.

Front

How can you represent negative numbers on a number line?

Back

Negative numbers are represented to the left of zero on a number line.

Front

What is the formula to find the distance between two points on a number line?

Back

The distance between two points a and b on a number line is given by the formula |a - b|.

Front

What is the significance of the number zero in the context of integers?

Back

Zero is considered an integer and serves as the neutral point between positive and negative integers.