Question

Graph the integers -18, 4, -20, -2, -6, 0 on a number line. Then write the integers in order from least to greatest.

Short answer

The given set of numbers in the increasing order are $-20,-18,-6,-2,~0~,4$

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 – Concept of number line

On a number line, a number is greater than every number to its left and less than every number to its right. In other words, when moving on the number line from the left-most number to the right-most number of a given set of numbers, the numbers are encountered in the increasing order of their value.

Step-3 – Plot the points

Plot the numbers on the number line.

Starting from the left-most number -20 and moving towards the right-most number 4, the numbers are encountered in their increasing order of $\mathbf{-}\mathbf{20}\mathbf{,}\mathbf{-}\mathbf{18}\mathbf{,}\mathbf{-}\mathbf{6}\mathbf{,}\mathbf{-}\mathbf{2}\mathbf{,}\mathbf{}\mathbf{0}\mathbf{}\mathbf{,}\mathbf{4}$.