Adding and Subtracting Integers 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

What does it mean to add integers?

Back

Adding integers involves combining their values. If both integers are positive, the result is positive. If both are negative, the result is negative. If one is positive and the other is negative, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

What does it mean to subtract integers?

Back

Subtracting integers means finding the difference between them. This can be done by adding the opposite of the integer being subtracted.

Front

How do you find the difference between two negative integers?

Back

To find the difference between two negative integers, subtract their absolute values and the result will be negative.

Front

If Marie is at -15 feet and Nancy is at -22 feet, how do you find the difference in their depths?

Back

Subtract the depth of Marie from the depth of Nancy: |-15 - (-22)| = |-15 + 22| = |7| = 7 feet.

Front

What is the result of adding a positive integer to a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Front

What is the result of subtracting a negative integer from a positive integer?

Back

Subtracting a negative integer is the same as adding its absolute value.

Front

If the temperature is 3°C and it drops by 12°C, what is the new temperature?

Back

3°C - 12°C = -9°C.

Front

If the temperature is -5°C and it drops by 6°C, what is the new temperature?

Back

-5°C - 6°C = -11°C.

Front

What is the change in temperature from 16°C to -3°C?

Back

The change in temperature is -3°C - 16°C = -19°C.