Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.7 Junior Find the answer

Which of the following numbers is closest to 1: $\frac{11}{10}$ , $\frac{111}{100}$ , 1.101, $\frac{1111}{1000}$ , 1.011?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

When we convert each of the possible answers to a decimal, we obtain 1.1, 1.11, 1.101, 1.111, and 1.011. Since the last of these is the only one greater than 1 and less than 1.1, it is closest to 1.

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