Integer Word Problems (All Operations)

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 and keep the sign of the integer with the larger absolute value.

Front

What does it mean to subtract integers?

Back

Subtracting integers is the same as adding the opposite. For example, to subtract -3, you add +3 instead.

Front

How do you multiply integers?

Back

When multiplying integers, if both integers have the same sign, the product is positive. If they have different signs, the product is negative.

Front

How do you divide integers?

Back

Dividing integers follows the same rules as multiplication: if both integers have the same sign, the quotient is positive; if they have different signs, the quotient is negative.

Front

What is a word problem involving integers?

Back

A word problem is a mathematical problem expressed in words, requiring the use of integers to solve. For example, 'A football team lost 5 yards on 4 plays.'

Front

How do you represent a loss in a word problem?

Back

A loss is represented by a negative integer. For example, losing 12 yards is represented as -12.

Front

What is the total loss if a team loses 12 yards and then 5 yards?

Back

The total loss is -12 + (-5) = -17 yards.

Front

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

Back

The new temperature is -15 - 12 = -27°C.

Front

How do you calculate total expenses over multiple days?

Back

Multiply the daily expense by the number of days. For example, $5 a day for 5 days is $5 x 5 = $25.