Multiply and Divide 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 multiply integers?

Back

Multiplying integers involves finding the product of two or more whole numbers. The product of two integers with the same sign is positive, while the product of two integers with different signs is negative.

Front

What does it mean to divide integers?

Back

Dividing integers involves finding how many times one integer is contained within another. The quotient of two integers with the same sign is positive, while the quotient of two integers with different signs is negative.

Front

How do you solve a word problem involving late fees?

Back

Identify the total change in savings, determine the number of late fees, and divide the total change by the number of late fees to find the amount of one late fee.

Front

If the temperature is -3 degrees and falls at a rate of 2 degrees per hour, how do you calculate the temperature after a certain time?

Back

Multiply the rate of fall by the number of hours and subtract that from the initial temperature.

Front

What is the formula to find the position of an object falling at a constant rate?

Back

Position = Initial Position - (Rate of Descent × Time). For example, if a pebble descends at 2 feet per second for 5 seconds, its position is -10 feet.

Front

How do you calculate total score in a game with negative points?

Back

Add the points scored in each turn. If all scores are negative, sum the absolute values and keep the negative sign.

Front

What is the relationship between negative changes in savings and expenses?

Back

A negative change in savings indicates a decrease in savings, often due to expenses. For example, if Louisa's savings changed by -$9 each time she went bowling, it shows her expenses.

Front

How do you find the number of times an event occurred based on total change?

Back

Divide the total change by the change per event. For example, if Louisa's savings changed by -$99 and each bowling trip changed it by -$9, then she went bowling 11 times.

Front

What is the significance of negative integers in real-life situations?

Back

Negative integers can represent debts, temperatures below zero, or losses in games, helping to understand situations where values decrease.