Question

How do you order the integers -15, 2, 26, -25, -3 from least to greatest?
(a) Using linear formulas
(b) Using trigonometric identities
(c) Using algebraic properties
(d) None of these

Answer 1

Hint: To start with, in this problem, we are trying to order the given integers from least to greatest. To solve these kinds of problems, we will first check the number of negative and positive numbers from the given ones. Then ordering them from least to greatest and putting them altogether we get our needed result.

Complete step by step answer:
According to the question, we are to order the integers -15, 2, 26, -25, -3 from least to greatest.
To start with, we are given five numbers -15, 2, 26, -25, -3.
Out of them, three are negative numbers and two of them are positive numbers.
So, the negative ones will always be lesser than the positive ones.
Thus, we can start with, 2 and 26 are the greater ones.
Now, 26 is greater than 2, so, 26 > 2.
Again, for the negative terms the numbers which are greater without the negative sign will give us the opposite result.
Thus, we get, -3 > -15 > -25.
So, writing them altogether, 26 > 2 > -3 > -15 > -25.

Our solution is, (c) Using algebraic properties.

Note:
This is always to be considered an easy problem to get the solution. But still we have to be cautious about the problem and the calculations given out there. Easier problems can get easily wrong with silly mistakes and give us wrong results. So, taking care of that is quite important.