Jack used the digits 4,5,6,7 to make the largest and smallest numbers possible. Then he subtracted the 2 numbers and came up with 2,997. What did Jack do wrong?
He forgot the biggest number he can make is 777 and he forgot to say there is 444 small numer
Well, since
7777-4444 = 3333
I've no idea.
7654-4567 = 3087
hmmm. still 90 off
So, he must have done
7564-4567 = 2997
or
7654-4657 = 2997
So, he must have transposed two digits as shown above. That, as well as assuming that he could not repeat digits in the numbers.
To understand what Jack did wrong, let's break down the problem step by step.
Step 1: Finding the largest number:
To create the largest number using the digits 4, 5, 6, and 7, we should arrange them in descending order. Therefore, the largest number would be 7,654.
Step 2: Finding the smallest number:
To create the smallest number using the digits 4, 5, 6, and 7, we should arrange them in ascending order. Therefore, the smallest number would be 4,567.
Step 3: Performing subtraction:
Now, let's subtract the smallest number from the largest number:
7,654 - 4,567 = 3,087
So, Jack made an error in his subtraction. The correct result of subtracting the smallest number from the largest number would be 3,087, not 2,997.
Therefore, Jack made a mistake while subtracting the numbers, leading to the incorrect result of 2,997.