QuestionWhat is the smallest four-digit number Emily can make with the cards marked 2, 0, 1, and 9?
Studdy Solution
STEP 1
Assumptions1. Emily has four cards, each marked with one of the digits,0,1,9. We need to find the smallest four-digit number that can be made using these cards3. Each card can be used only once to form the number
STEP 2
To form the smallest four-digit number, we need to place the smallest non-zero digit at the thousand's place. This is because the value of the digit at the thousand's place has the most influence on the overall value of the number. In this case, the smallest non-zero digit is1.
STEP 3
Next, we need to place the smallest remaining digit at the hundred's place. This is because the value of the digit at the hundred's place has the second most influence on the overall value of the number. In this case, the smallest remaining digit is0.
STEP 4
Now, we need to place the next smallest remaining digit at the ten's place. This is because the value of the digit at the ten's place has the third most influence on the overall value of the number. In this case, the next smallest remaining digit is2.
STEP 5
Finally, we place the remaining digit at the one's place. In this case, the remaining digit is9.
So, the smallest four-digit number that Emily can make with her cards is1029.
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