Multiplying Integers

Multiplying integers is the third operations on integers, among the four fundamental operations on integers and it is the short process of finding the sum if a given number of repetitions of the same number. The sign or symbol of multiplication is ‘×’.

For example:

(i) 5 + 5 + 5 + ………..  15 times = 5 multiplied by 15 = 5 × 15.

(ii) (-4) + (-4) + (-4) +………..  12 times = (-4) multiplied by 12 = (-4) × 12.

The repeating number is called the multiplicand and the number which indicates how often the multiplicand is to be repeated is called the multiplier.

Thus, in 3 + 3 + 3 + ………..  14 times i.e. in 3 × 14; 3 is the multiplicand and 14 is the multiplier.


Adopt the following rules for the multiplying integers.


1. When the integers have same sign:

The multiplication of two integers, both positive or both negative, is always a positive integer equal to the product of their absolute values.

And in other words when both the numbers have same (like) signs, the result of the multiplication is always positive.

For example:

(i) (+5) × (+4) = 5 × 4 = 20

(ii) (-6) × (-3) = 6 × 3 = 18

(iii) (+12) × (+12) = 12 × 12 = 144

(iv) (-16) × (-5) = 16 × 5 = 80

(v) (-20) × (-10) = 20 × 10 = 200


2. When the integers have unlike sign:

The multiplication of a positive integer and a negative integer is always negative.

And in other words when both the numbers have different (unlike) signs, the result of the multiplication is always negative.

For example:

(i) (-15) × (+8) = - (15 × 8) = -120

(ii) (+12) × (-9) = - (12 × 9) = -108

(iii) (-10) × (+5) = - (10 × 5) = -50

(iv) (+20) × (-8) = - (20 × 8) = -160

(v) (-8) × (+7) = - (8 × 7) = -56

Note: (+) × (+) = (+)

          (+) × (-) = (-)

          (-) × (+) = (-)

          (-) × (-) = (+)







Numbers Page

6th Grade Page

From Multiplying Integers to HOME PAGE


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.



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.



Share this page: What’s this?

Recent Articles

  1. Months of the Year | List of 12 Months of the Year |Jan, Feb, Mar, Apr

    Dec 01, 23 01:16 AM

    Months of the Year
    There are 12 months in a year. The months are January, February, march, April, May, June, July, August, September, October, November and December. The year begins with the January month. December is t…

    Read More

  2. Days of the Week | 7 Days of the Week | What are the Seven Days?

    Nov 30, 23 10:59 PM

    Days of the Weeks
    We know that, seven days of a week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday. A day has 24 hours. There are 52 weeks in a year. Fill in the missing dates and answer the questi…

    Read More

  3. Types of Lines |Straight Lines|Curved Lines|Horizontal Lines| Vertical

    Nov 30, 23 01:08 PM

    Types of Lines
    What are the different types of lines? There are two different kinds of lines. (i) Straight line and (ii) Curved line. There are three different types of straight lines. (i) Horizontal lines, (ii) Ver…

    Read More