Modeling and Adding Integers with Counters

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 greater, the result is positive; if the negative integer is greater, the result is negative.

Front

How do you represent a deposit in terms of integers?

Back

A deposit is represented as a positive integer.

Front

What does a negative integer represent in real-life situations?

Back

A negative integer often represents a loss, debt, or a decrease in quantity.

Front

What is the sum of -4 and 5?

Back

-4 + 5 = 1.

Front

How can counters be used to model addition of integers?

Back

Counters can visually represent positive integers with one color and negative integers with another color, helping to illustrate the addition process.

Front

What is the result of 4 + -1?

Back

4 + -1 = 3.

Front

What does the equation 2 + -4 represent in terms of counters?

Back

It represents 2 positive counters and 4 negative counters, resulting in a total of -2.

Front

How do you determine the overall value when adding integers of different signs?

Back

Subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

What is the significance of the number zero in integer addition?

Back

Zero is the additive identity; adding zero to any integer does not change its value.

Front

How can you model the expression -4 + 5 using counters?

Back

Use 4 red counters (negative) and 5 yellow counters (positive). The result will be 1 yellow counter remaining.