1998 AJHSME Problems/Problem 5

Problem

Which of the following numbers is largest?

$\text{(A)}\ 9.12344 \qquad \text{(B)}\ 9.123\overline{4} \qquad \text{(C)}\ 9.12\overline{34} \qquad \text{(D)}\ 9.1\overline{234} \qquad \text{(E)}\ 9.\overline{1234}$

Solution

Looking at the different answer choices, we have (up to 10 digits after the decimal)

$A$: $9.1234400000$

$B$: $9.1234444444$

$C$: $9.1234343434$

$D$: $9.1234234234$

$E$: $9.1234123412$

By inspection, we can see that $\boxed{B}$ is the largest number.

See also

1998 AJHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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