Modeling and Adding Integers with Counters

Front

What does a positive counter represent in integer modeling?

Back

A positive counter represents a positive integer.

Front

What does a negative counter represent in integer modeling?

Back

A negative counter represents a negative integer.

Front

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

Back

Use 4 red counters (for -4) and 5 yellow counters (for +5). The result is 1 yellow counter remaining, representing +1.

Front

What is the result of the addition equation 2 + -4?

Back

The result is -2.

Front

What does the expression -6 + 6 represent in terms of counters?

Back

It represents 6 red counters (for -6) and 6 yellow counters (for +6), which cancel each other out, resulting in 0.

Front

What is the principle behind adding a positive integer to a negative integer?

Back

Adding a positive integer to a negative integer involves finding the difference between their absolute values and taking the sign of the integer with the larger absolute value.

Front

What is the result of decreasing speed by 10 mph in terms of integers?

Back

It is represented as -10 mph.

Front

How can you represent the equation 4 + -1 using counters?

Back

Use 4 yellow counters (for +4) and 1 red counter (for -1). The result is 3 yellow counters remaining, representing +3.

Front

What is the significance of zero in integer addition?

Back

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

Front

What is the result of adding two negative integers, such as -3 + -2?

Back

The result is -5, as the absolute values are added together and the result is negative.