Word Problems with Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

How do you represent a debt using integers?

Back

Debt is represented as a negative integer. For example, if you owe $50, it is represented as -50.

Front

What is the absolute value of an integer?

Back

The absolute value of an integer is its distance from zero on the number line, regardless of direction. For example, |-5| = 5.

Front

How do you add two integers with the same sign?

Back

When adding two integers with the same sign, add their absolute values and keep the sign. For example, -3 + -5 = -8.

Front

How do you add two integers with different signs?

Back

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -3 + 5 = 2.

Front

What is the difference between two integers?

Back

The difference between two integers is found by subtracting one integer from another. For example, 5 - (-3) = 5 + 3 = 8.

Front

How do you solve a word problem involving debt?

Back

Identify the costs and charges, represent them as integers, and perform addition or subtraction to find the total debt.

Front

What does it mean for a temperature to be colder?

Back

A colder temperature is represented by a lower integer value. For example, -5°F is colder than 0°F.

Front

How do you find the difference in elevation between two points?

Back

Subtract the lower elevation from the higher elevation. For example, if one point is at -150 feet and another at 375 feet, the difference is 375 - (-150) = 525 feet.

Front

What is the process for calculating temperature differences?

Back

To calculate the difference between high and low temperatures, subtract the low temperature from the high temperature. For example, 4 - (-7) = 11.