Operations with Integers (Word Problems)

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What does it mean to find the difference between two integers?

Back

Finding the difference means subtracting one integer from another. For example, the difference between -20 and -12 is -20 - (-12) = -20 + 12 = -8.

Front

How do you subtract a negative integer?

Back

Subtracting a negative integer is the same as adding its positive counterpart. For example, 5 - (-3) = 5 + 3 = 8.

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 and |5| = 5.

Front

How do you represent a temperature drop in integers?

Back

A temperature drop is represented by subtracting a positive integer from the current temperature. For example, if the temperature is -15°C and it drops by 12°C, the new temperature is -15 - 12 = -27°C.

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

How do you calculate the difference in temperatures?

Back

To calculate the difference in temperatures, subtract the lower temperature from the higher temperature. For example, the difference between -20°C and -12°C is |-20 - (-12)| = |-20 + 12| = |-8| = 8°C.

Front

What is the temperature if it is -1°F and it gets 3 degrees colder?

Back

If it is -1°F and it gets 3 degrees colder, the new temperature is -1 - 3 = -4°F.

Front

What does it mean when a temperature is described as 'colder'?

Back

When a temperature is described as 'colder', it means that the temperature is lower than the previous temperature. For example, if it is -5°C and it becomes colder by 2°C, the new temperature is -5 - 2 = -7°C.

Front

How do you express a temperature increase?

Back

A temperature increase is expressed by adding a positive integer to the current temperature. For example, if the temperature is -10°C and it increases by 5°C, the new temperature is -10 + 5 = -5°C.