1997 AJHSME Problems/Problem 3

Problem

Which of the following numbers is the largest?

$\text{(A)}\ 0.97 \qquad \text{(B)}\ 0.979 \qquad \text{(C)}\ 0.9709 \qquad \text{(D)}\ 0.907 \qquad \text{(E)}\ 0.9089$

Solution

Using the process of elimination:

Tenths digit: All tenths digits are equal, at $9$ .

Hundreths digit: $A$ , $B$ , and $C$ all have the same hundreths digit of $7$ , and it is greater than the hundredths of $D$ or $E$ (which is $0$ ). Eliminate both $D$ and $E$ .

Thousandths digit: $B$ has the largest thousandths digit of the remaining answers, and is the correct answer. $A$ has an "invisible" thousandths digit of $0$ , while $C$ also has a thousdandths digit of $0$ .

$\boxed{\textbf{(B)}}$

1997 AJHSME (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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1997 AJHSME Problems/Problem 3

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