Use of Integers

The use of integers is used to express our day-to-day situations in Mathematical terms.


(i) If profit are represented by positive integer then losses by negative integers.

(ii) If heights above sea level by positive integers then depths below sea level by negative integers.

(iii) If rise in price is represented by positive integers, then fall in price by negative integers and so on.

Thus, if +256 represent a profit of $ 256; then a loss of $ 256 is represented by -256.

Similarly, if a depth of 37 below sea level is represented by -37; then +37 represents a height of 37 above sea level and so on.

Use of integers as directed numbers:

When numbers represent direction, then numbers are called directed numbers.

For example:

(i) If moving 10 m towards North is represented by +10;

-10 represents moving 10 m towards South, opposite direction of North.

Use of Integers

If a positive (+ve) integer indicates a particular direction; then the negative (-ve) integer indicates the opposite direction. Conversely, if a negative (-ve) integer indicates any particular direction; then the positive (+ve) integer indicates the opposite direction.

For example:

If +5 represents 5 m towards East; then -4 represents 4 m towards its opposite direction i.e., towards West.

Integer Indicates a Particular Direction

Similarly, if +9 represents 9 m due South, -6 represents 6 m due North. Again if -4 represents 4 km due East; +2 represents 2 km due West

Numbers Represent Direction
Integer Indicates the Opposite Direction

(ii) If 12 m above the earth’s surface is represented by +12; then 18 m below the earth’s surface is represented by -18 and so on.

(iii) If +23 represents a profit of $23; then -19 represents a loss of $19.

(iv) If -63 indicate giving of $63; then taking of $91 is denoted by +91.

(v) If the rise in temperature by 63° C is denoted by +63; then -45 indicates the fall in temperature by 45° C

Write the opposite of the following expressions:

(i) An expenditure of $15.

(ii) A profit of $115.

(iii) A loss of $55.

(iv) Descending -15 m.

(v) Increase in weight by 17 kg.


(i) Expenditure of $15 = Income of -15 dollars.

(ii) Profit of $115 = Loss of 115 dollars.

(iii) Loss of $55 = Profit of 55 dollars.

(iv) Descending -15 m or -15 m downwards movement = 15 m upward movement.

(v) Increase in weight by 17 kgs. = Decrease in weight by -17 kgs.

Numbers Page

6th Grade Page

From Use of Integers to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Worksheet on Triangle | Homework on Triangle | Different types|Answers

    Jun 21, 24 02:19 AM

    Find the Number of Triangles
    In the worksheet on triangle we will solve 12 different types of questions. 1. Take three non - collinear points L, M, N. Join LM, MN and NL. What figure do you get? Name: (a)The side opposite to ∠L…

    Read More

  2. Worksheet on Circle |Homework on Circle |Questions on Circle |Problems

    Jun 21, 24 01:59 AM

    In worksheet on circle we will solve 10 different types of question in circle. 1. The following figure shows a circle with centre O and some line segments drawn in it. Classify the line segments as ra…

    Read More

  3. Circle Math | Parts of a Circle | Terms Related to the Circle | Symbol

    Jun 21, 24 01:30 AM

    Circle using a Compass
    In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We…

    Read More

  4. Circle | Interior and Exterior of a Circle | Radius|Problems on Circle

    Jun 21, 24 01:00 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More

  5. Quadrilateral Worksheet |Different Types of Questions in Quadrilateral

    Jun 19, 24 09:49 AM

    In math practice test on quadrilateral worksheet we will practice different types of questions in quadrilateral. Students can practice the questions of quadrilateral worksheet before the examinations

    Read More