Question

What number represents the smallest value?
9
.9
.99
.999

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The number represents the smallest value

• 9

• 0.9

• 0.99

• 0.999

EVALUATION

Here the given numbers are

9 , 0.9 , 0.99 , 0.999

Now we have

$\displaystyle \sf{9 = \frac{9000}{1000} }$

$\displaystyle \sf{0.9 = \frac{900}{1000} }$

$\displaystyle \sf{0.99 = \frac{990}{1000} }$

$\displaystyle \sf{0.999 = \frac{999}{1000} }$

Thus we convert the given numbers to the numbers with same denominator ( 1000 )

Now we have

9000 > 999 > 990 > 900

Since the number 0.9 has the smallest numerator

So the smallest number = 0.9

FINAL ANSWER

Hence the correct option is 0.9

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Answer 2

As per the data given in the above question.

A three digit decimal fraction means the part of the decimal digits in a thousandths.

Thus we convert the given numbers to the numbers with same denominator ( 1000 ).

$a) 9 = \frac{9000}{1000}$

$b) \: 0.9 = \frac{900}{1000}$

$c) 0.99 = \frac{990}{1000}$

$d)0.999 = \frac{999}{1000}$

Thus ,

Thus ,0.9<0.99<0.999<9

0.9 is the smallest number .

Project code #SPJ2