Question

Using the number line write the integer which is: $3$less than $-2$?

Answer 1

Hint: A horizontal straight line on which the numbers are placed at equal intervals along its length is known as a number line. Also a number line can be extended infinitely in both the directions along its length. Zero is placed at the center of the number line all the numbers on the right side of zero are positive and at the left side of zero all the numbers are negative. Therefore as we move from left to right the numbers on the number line increase and decrease on moving from right to left.

Complete step-by-step answer:
In the given problem we have to write the number line with the integer is $3$less than $-2$
For the subtraction of two numbers, we move left from one number to the other number that number is to be subtracted.(one by one).
For the given question first we place the number$-2$, which is left side of the zero on the number line. Now we have to find a number which is $3$ less than $-2$ so we move 3 place towards the left side of $-2$

Therefore, we get that the integer 3 less than -2 is -5.
Hence the required integer is -5.

Note: A number line makes it easier to compare numbers and also perform mathematical operations like addition, subtraction, multiplication on the number lines. Various kinds of numbers, integers can be represented on the number line. On a number line we can also get the intervals of the roots of a polynomial and we obtain in which interval it is increasing or decreasing.