Integer Operations (+/-) with 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 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 one is negative, subtract the smaller absolute value from the larger absolute value and keep 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. To subtract a negative integer, you add its positive counterpart. For example, subtracting -3 is the same as adding 3.

Front

How do you solve a word problem involving temperature changes?

Back

Identify the starting temperature, determine how much it changes (increase or decrease), and then perform the appropriate integer operation (addition or subtraction) to find the final temperature.

Front

If the temperature is -1°F and it gets 3 degrees colder, what is the new temperature?

Back

The new temperature is -4°F.

Front

If the temperature is -15°C and it drops by 12 degrees, what is the new temperature?

Back

The new temperature is -27°C.

Front

What is the difference between -20°C and -12°C?

Back

The difference is 8°C.

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, the absolute value of -5 is 5.

Front

How do you find the difference between two temperatures?

Back

To find the difference, subtract the lower temperature from the higher temperature, ignoring the signs.

Front

What happens when you add a positive integer to a negative integer?

Back

When you add a positive integer to a negative integer, you subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.