Question

How do you order the integers $ \{ - 7,3,1, - 5, - 1\} $ from greatest to least?

Answer 1

Hint: Integers are the whole-valued numbers which can be either positive or negative. Also, remember that zero is also an integer. Here we will arrange given numbers in ascending order and accordingly will find the greatest integer to the least integer.

Complete step by step solution:
Know the concepts of the whole numbers, integers, natural numbers, prime numbers, the composite numbers, Rational and irrational numbers. Also, know the difference and correlation among them.
Remember when you arrange the given integers in the descending order, negative numbers with the least value are greater among the other integers with the greater value. i.e. $ ( - 7) < ( - 5) $
So, accordingly arrange the terms given from the greatest to the least values.
 $ \{ 3, 1,- 1, -5,-7\} $
This is the required solution.
So, the correct answer is “ $ \{ 3, 1,- 1, -5,-7\} $ ”.

Note: A rational number is the number which can be expressed as the ratio of two numbers or which can be expressed as the p/q form or as the quotient or the fraction with non-zero denominator whereas, the numbers which are not represented as the rational are known as the irrational number. The set of the real numbers is made by combining the set of all the rational numbers and all the set of irrational numbers. The real numbers include natural numbers, whole numbers, integers, and the rational numbers including all the fractions, decimals and repeating numbers and irrational numbers. Absolute value is the most simplified numerical value.