Integer Word Problems

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

How do you represent a loss in money using integers?

Back

A loss in money is represented by a negative integer. For example, if you lose $10, it can be represented as -10.

Front

What does it mean to add a negative number?

Back

Adding a negative number is the same as subtracting its absolute value. For example, 5 + (-3) = 5 - 3 = 2.

Front

How do you calculate the total distance moved when moving up and down?

Back

To calculate total distance, add the distances moved up and down, regardless of direction. For example, if a snail moves 1" up and 4" down, the total distance is 1 + 4 = 5".

Front

What is the equation to represent a financial transaction?

Back

A financial transaction can be represented by an equation that includes initial amount, gains, and losses. For example, starting with $30, paying $10, losing $15, and receiving $10 can be represented as 30 - 10 - 15 + 10.

Front

How do you find the new position after moving from a negative position?

Back

To find the new position after moving from a negative position, subtract the distance moved from the original negative value. For example, if a diver is at -150 feet and descends 30 feet, the new position is -150 - 30 = -180 feet.

Front

What is the result of subtracting a larger integer from a smaller integer?

Back

Subtracting a larger integer from a smaller integer results in a negative integer. For example, 5 - 10 = -5.

Front

How do you solve for an unknown in an equation?

Back

To solve for an unknown, isolate the variable on one side of the equation. For example, in the equation x + 5 = -11, subtract 5 from both sides to find x = -16.

Front

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

Back

The distance between two points on a number line is the absolute value of the difference between the two numbers. For example, the distance between -500 and 8550 is |8550 - (-500)| = 9050.

Front

How do you represent a situation where something is above sea level?

Back

A position above sea level is represented by a positive integer. For example, 100 feet above sea level is represented as +100.