In a two-color counter model, each color represents a positive or negative value. Let's say one color represents positive values, and the other color represents negative values.
To represent the subtraction expression −17−(−3) using two-color counters, we start with 17 counters of the positive color (to represent −17) and add 3 counters of the negative color (to represent −(−3)).
Now, we need to subtract the negative value. To do so, we remove 3 counters of the negative color from the model. The result of this subtraction should be the same as Elaine's answer, which is −14.
By physically manipulating the counters in the two-color counter model, we can visually confirm whether Elaine's answer is correct. If, after removing the 3 counters, we are left with 14 counters of the positive color, then Elaine's answer is confirmed to be correct. However, if we have a different number of counters remaining, then Elaine's answer is incorrect.
Elaine used the subtraction algorithm to subtract −17−(−3)
. She got the answer −14
, but she does not feel confident that she is correct. Connect the expression −17−(−3)
to a two-color counter model. Explain how the two-color counter model can be used to confirm whether Elaine’s answer is correct.
3 answers
how do you show how to solve this problem
Apologies for the confusion. Let me provide a step-by-step explanation on how to solve the problem using the subtraction algorithm.
The given expression is −17−(−3).
To solve this, we can rewrite the subtraction of a negative number as an addition of a positive number. So, −17−(−3) is equivalent to −17+3.
To confirm Elaine's answer, which is −14, we can use the following steps:
1. Start with the value −17.
2. Add 3, which represents the positive value in the subtraction: −17+3.
3. Perform the addition: -17 + 3 = -14.
Based on Elaine's answer, the result is −14.
We can use a two-color counter model to visually represent this process as well. By starting with 17 counters of one color to represent −17 and adding 3 counters of the other color to represent +3, we would end up with 14 of the first color, confirming Elaine's answer of −14.
I apologize for the previous confusion and hope this explanation helps clarify the solution process.
The given expression is −17−(−3).
To solve this, we can rewrite the subtraction of a negative number as an addition of a positive number. So, −17−(−3) is equivalent to −17+3.
To confirm Elaine's answer, which is −14, we can use the following steps:
1. Start with the value −17.
2. Add 3, which represents the positive value in the subtraction: −17+3.
3. Perform the addition: -17 + 3 = -14.
Based on Elaine's answer, the result is −14.
We can use a two-color counter model to visually represent this process as well. By starting with 17 counters of one color to represent −17 and adding 3 counters of the other color to represent +3, we would end up with 14 of the first color, confirming Elaine's answer of −14.
I apologize for the previous confusion and hope this explanation helps clarify the solution process.