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2021 Fall AMC 10B Problem 1

Problem 1 of 25EasierArithmeticProblem-Solving Techniques

What is the value of 1234+2341+3412+4123?1234 + 2341 + 3412 + 4123?

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Solution

We can add each individual digit, yielding 11,110.11,110. We can also get the sum by noticing that each digit has a sum of 10,10, so the sum is equal to 10⋅1111=11,110.10\cdot 1111 = 11,110. Thus, the answer is E .
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Tagged: place value · pairing and grouping

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