Integer 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, you add their absolute values. If both are negative, you add their absolute values and keep the negative sign. If one is positive and one is negative, subtract the smaller absolute value from the larger one and take 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 a positive integer, you add its negative counterpart.

Front

How do you represent elevation changes with integers?

Back

Elevation changes can be represented using positive and negative integers. Positive integers indicate heights above sea level, while negative integers indicate depths below sea level.

Front

What is the result of adding a positive integer and 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 solve a word problem involving elevation?

Back

Identify the starting elevation, determine the change in elevation (positive or negative), and then add or subtract to find the final elevation.

Front

What is the formula for calculating net change?

Back

Net change can be calculated using the formula: Net Change = Final Value - Initial Value.

Front

How do you interpret a negative balance in a bank account?

Back

A negative balance indicates that the account is overdrawn, meaning the account holder owes money to the bank.

Front

What is the significance of zero in integer operations?

Back

Zero is the integer that represents no value. It is the additive identity, meaning any integer plus zero equals the integer itself.

Front

How do you represent stock price changes with integers?

Back

Stock price changes can be represented using positive and negative integers, where positive indicates an increase in price and negative indicates a decrease.