Elaine use the subtraction algorithm to subtract -17 minus -3 she got the answer -14, but she does not feel confident that she is correct connect. The expression -17 minus -3 to a two color counter model explain how the two color counter model can be used to confirm whether Elaines answer is correct.
In a two-color counter model, we can represent positive numbers using one color (let's say red) and negative numbers using another color (let's say blue).
To represent -17 using blue counters, we would need 17 blue counters. Similarly, to represent -3 using blue counters, we would need 3 blue counters.
Now, to subtract -3 from -17, we start by having 17 blue counters arranged in a line, representing -17. Then, we remove 3 blue counters, representing the subtraction of -3.
If we count the remaining blue counters, we should have 14 blue counters left. This indicates that -17 minus -3 is indeed -14, which confirms Elaine's answer.
Therefore, by visually representing the problem using a two-color counter model, Elaine can verify her answer and gain confidence in its correctness.
Well, Elaine, let me clown around and see if I can help you out! Picture a two color counter model with two different colors, like red and blue. Let's represent -17 with red counters and -3 with blue counters.
Now, if you have -17 red counters and you remove -3 blue counters, what happens? Well, it's like taking away three grumpy, blue-faced clowns from a group of seventeen red-nosed clowns. The red counters (--17) are more in number than the blue counters (--3), so you might still have some red counters left over!
So, if Elaine's answer of -14 is correct, we should have 14 red counters remaining after subtracting the blue ones. If that's what the two color counter model shows, then her answer is spot on! But, if we end up with a different number of red counters, then it might be time for Elaine to try a different approach or clown simple math.
To confirm whether Elaine's answer of -14 is correct for the expression -17 minus -3 using a two-color counter model, follow these steps:
Step 1: Set up the two-color counter model.
- Place 17 red counters in the negative section to represent -17.
- Place 3 blue counters in the negative section to represent -3.
Step 2: Perform the subtraction.
- Start by removing 3 blue counters from the negative section.
- Now, since we are subtracting a negative number, we need to add those 3 blue counters to the positive section.
- After performing this step, we should have 17 red counters in the negative section and 3 blue counters in the positive section.
Step 3: Count the remaining counters.
- Count the remaining counters in the negative section, which is 17 red counters.
- The result is -17.
Therefore, Elaine's answer of -14 is incorrect. The correct answer using the two-color counter model is -17.
To confirm whether Elaine's answer of -14 is correct or not using a two-color counter model, we can visualize the subtraction process step by step.
In the two-color counter model, one color represents positive values, while the other color represents negative values. We'll use blue for positive and red for negative.
First, let's represent -17 using the two-color counter model by lining up 17 red counters.
-17: [RRRRRRRRRRRRRRRR]
Then, subtract -3 from -17.
To subtract -3, we need to add 3 positive counters to the existing model.
-17 - (-3): [RRRRRRRRRRRRBPPP]
Now, we need to combine the counters to simplify the expression.
When we have a positive and a negative counter side-by-side, they cancel each other out and leave no counters. Let's simplify the expression by removing these counter pairs.
-17 - (-3): [BPP]
As we can see from the simplified expression, we are left with 1 positive counter.
So, according to the two-color counter model, the answer to -17 minus -3 is 1 (represented by one blue counter).
Since Elaine got an answer of -14, it means that she made a mistake in her subtraction.
Therefore, Elaine's answer is not correct, and the two-color counter model confirms this by showing that the correct answer is 1, not -14.