To find 456-212, Cardell added forward to each number then subtracted Malia subtract two from each number then subtracted will Cardell's Way Malia's way or both ways find the correct answer. Try both ways and show your work. explain why each way works or does not work then find the difference
To find the difference between 456 and 212 using Cardell's way, we would first add forward to each number:
456 + 1 = 457
212 + 1 = 213
Then we subtract the numbers:
457 - 213 = 244
Using Malia's way, we subtract two from each number:
456 - 2 = 454
212 - 2 = 210
Then we subtract the numbers:
454 - 210 = 244
Both Cardell's way and Malia's way yield the same result of 244. Both methods work because adding or subtracting the same value to both numbers does not change their difference.
To find the difference between 456 and 212 using Cardell's way, we add 1 to both numbers:
456 + 1 = 457
212 + 1 = 213
Now we subtract the two numbers:
457 - 213 = 244
Using Malia's way, we subtract 2 from both numbers:
456 - 2 = 454
212 - 2 = 210
Now we subtract the two numbers:
454 - 210 = 244
As we can see, both Cardell's way and Malia's way yield the same result, which is 244.
Cardell's way works because by adding 1 to both numbers, we are effectively shifting the entire number line one unit forward, maintaining the same difference between the original numbers.
Malia's way works because by subtracting 2 from both numbers, we are effectively shifting the entire number line two units backward, maintaining the same difference between the original numbers.
Therefore, the difference between 456 and 212 is 244.
To find the difference between 456 and 212, we are given two different methods:
1. Cardell's Way: Add forward to each number and then subtract.
2. Malia's Way: Subtract two from each number and then subtract.
Let's start with Cardell's Way:
Adding forward to each number, we get:
456 + 1 = 457
212 + 1 = 213
Now, subtracting the two numbers:
457 - 213 = 244
Next, let's try Malia's Way:
Subtracting two from each number, we get:
456 - 2 = 454
212 - 2 = 210
Now, subtracting the two numbers:
454 - 210 = 244
Both methods yield the same result, which is 244.
Now, let's explain why each method works:
1. Cardell's Way works because by adding forward to both numbers, we are essentially shifting the entire number line to the right by one unit. This results in a larger difference between the two numbers. Subtracting the two shifted numbers gives us the correct difference.
2. Malia's Way works because by subtracting two from both numbers, we are decreasing both numbers equally. This reduces the distance between the two numbers while preserving their relative difference. Subtracting the two reduced numbers still gives us the correct difference.
In this case, since both methods yield the same result, we conclude that the correct difference between 456 and 212 is 244.