Difference between revisions of "1997 AJHSME Problems/Problem 1"

(Created page with "Convert each to decimals. <cmath>0.1+0.09+0.009+0.0007=0.1997</cmath> <math>\boxed{\textbf{(C)}}</math>")
 
Line 1: Line 1:
Convert each to decimals.
+
==Problem==
 +
<math>\dfrac{1}{10} + \dfrac{9}{100} + \dfrac{9}{1000} + \dfrac{7}{10000} = </math>
  
<cmath>0.1+0.09+0.009+0.0007=0.1997</cmath>
+
<math>\text{(A)}\ 0.0026 \qquad \text{(B)}\ 0.0197 \qquad \text{(C)}\ 0.1997 \qquad \text{(D)}\ 0.26 \qquad \text{(E)}\ 1.997</math>
 +
 
 +
==Solution==
 +
Convert each fraction to a decimal.
 +
 
 +
<math>\dfrac{1}{10} + \dfrac{9}{100} + \dfrac{9}{1000} + \dfrac{7}{10000}</math>
 +
 
 +
<math>0.1+0.09+0.009+0.0007=0.1997</math>
  
 
<math>\boxed{\textbf{(C)}}</math>
 
<math>\boxed{\textbf{(C)}}</math>
 +
 +
== See also ==
 +
{{AJHSME box|year=1998|before=First question|num-a=2}}
 +
* [[AJHSME]]
 +
* [[AJHSME Problems and Solutions]]
 +
* [[Mathematics competition resources]]

Revision as of 13:58, 31 July 2011

Problem

$\dfrac{1}{10} + \dfrac{9}{100} + \dfrac{9}{1000} + \dfrac{7}{10000} =$

$\text{(A)}\ 0.0026 \qquad \text{(B)}\ 0.0197 \qquad \text{(C)}\ 0.1997 \qquad \text{(D)}\ 0.26 \qquad \text{(E)}\ 1.997$

Solution

Convert each fraction to a decimal.

$\dfrac{1}{10} + \dfrac{9}{100} + \dfrac{9}{1000} + \dfrac{7}{10000}$

$0.1+0.09+0.009+0.0007=0.1997$

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

See also

1998 AJHSME (ProblemsAnswer KeyResources)
Preceded by
First question
Followed by
Problem 2
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