Question

Multiple Choice which list of integers is in order from least to greatest?

$\begin{array}{l}A.2,16,-17,21,-35C.-35,-17,2,16,21\\ B.2,-16,-17,-21,-35D.21,16,2,-17,-35\end{array}$

Short answer

list of integers in order from least to greatestis in option c $-35,-17,2,16,21$.

Step-by-step solution

Step-1 – Concept of integers

Integers include the positive and negative whole numbers including zero. An integer cannot be a decimal or fractional part with it.

The set of integers is denoted by the numbers $...,-4,-3,-2,-1,0,1,2,3,4,...$

Step-2 – Values of x for which -x is less than x

for every value $x$ is greater than -$x$ because with negative sign all the values are smaller than 0 according to number line so, negative values are shown in the left side of 0 in the number line and positive values are shown in the right side of 0 in the number lines.

Step-3 – Arrange the integers from least to greatest

we know that greatest integers with negative sign is smallest integer so negative integers will come in the beginning of the list and after that positive integers.

Thus, the list of integers in order from least to greatestis in option c $-35,-17,2,16,21$.