Question

How do you order the numbers \[7.324,6.9,6.97,6.9071\] from least to greatest ?

Answer 1

Hint: Here in this question, we have to arrange the given numbers from the least to the greatest. The numbers are in the form of decimal numbers. Then we arrange the numbers from the least to the greatest number. Hence we obtain the solution for the given question.

Complete step-by-step solution:
The number is in the form of fraction. The fraction number has two parts numerator and denominator. In the fraction we have 3 kinds
Proper fraction: the value of the numerator is less than the value of the denominator.
Improper fraction: the value of the numerator is greater than the value of the denominator.
Mixed fraction: the combination of a whole number and the fraction term.
While arranging any kind of number we have two kind of arrangements namely,
Ascending order: The numbers are arranged from least to the greatest.
Descending order: The numbers are arranged from greatest to the least.
Now consider the set in the question \[7.324,6.9,6.97,6.9071\]
The numbers are in the form of the decimal numbers. Let we round off the numbers and it is written as \[7.3,6.9,7.0,6.91\]
The ascending order of these numbers is
\[ \Rightarrow 6.9,6.91,7.0,7.3\]
\[ \Rightarrow 6.9,6.9071,6.97,7.324\]
This also written as
\[ \Rightarrow 6.9 < 6.9071 < 6.97 < 7.324\]

Therefore the correct answer is \[6.9 < 6.9071 < 6.97 < 7.324\]

Note: To simplify the decimal the round off number is needed. For the ascending arrangement we use the symbol < and for the descending arrangement we use > symbol. While rounding off the number when there is more number after decimal point, then it will be easy to identify the number which is least.