Difference between revisions of "2000 AMC 8 Problems/Problem 3"
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==Solution== | ==Solution== | ||
| − | The smallest whole number in the interval is <math>2</math> because <math>5/3</math> is more than <math>1</math> but less than <math>2</math>. The largest whole number in the interval is <math>6</math> because <math>2\pi</math> is more than <math>6</math> but less than <math>7</math>. There are five whole numbers in the interval. They are <math>2</math>, <math>3</math>, <math>4</math>, <math>5</math>, and <math>6</math>, so the answer is <math>\boxed{ | + | The smallest whole number in the interval is <math>2</math> because <math>5/3</math> is more than <math>1</math> but less than <math>2</math>. The largest whole number in the interval is <math>6</math> because <math>2\pi</math> is more than <math>6</math> but less than <math>7</math>. There are five whole numbers in the interval. They are <math>2</math>, <math>3</math>, <math>4</math>, <math>5</math>, and <math>6</math>, so the answer is <math>\boxed{D}</math>. |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2000|num-b=2|num-a=4}} | {{AMC8 box|year=2000|num-b=2|num-a=4}} | ||
Revision as of 21:45, 30 July 2011
Problem
How many whole numbers lie in the interval between 
and 
?
Solution
The smallest whole number in the interval is 
because 
is more than 
but less than . The largest whole number in the interval is 
because is more than but less than 
. There are five whole numbers in the interval. They are , 
, 
, 
, and , so the answer is 
.
See Also
| 2000 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 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 | ||
